PhysClosureBench / cases /case01 /grading_rubric.json
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{
"case_id": "Case01",
"title": "Case01 — Carrier-Envelope-Phase Characterization for an Isolated Attosecond Pulse by Angular Streaking",
"atoms": [
{
"criterion_id": "F1",
"dimension": "F",
"points": 0.5,
"scientific_requirement": "Establish the joint physical driver from the two supplied finite-support pulses on one time origin, consistently treating electric field, vector potential, phase, momentum axes, helicity and units.",
"award_conditions": [
"The two finite-support physical fields share time origin, helicity, intensity units and CEP convention; their vector potential obeys E=-dA/dt."
],
"applicability_and_na": [
"This scientific obligation applies to an assessable submission; it is not a risk-triggered N/A item."
],
"dependencies": [
"Necessary scientific premise: No fixed upstream prerequisite; judge this scientific obligation on its own evidence.",
"Preserve all other independently valid work; no additional unlisted hard dependency or duplicate deduction is implied."
],
"equivalent_evidence": [
"Consistent global phase, angular origin, momentum sign, helicity, gauge and common-scale transformations are accepted after their physical mapping is established.",
"A functionally equivalent causal control may replace the component split. If used, C(p)=2 Re[M_IAP(p) M_IR(p)*] is signed and both amplitudes must retain the same combined-field phase, vector potential and dipole argument.",
"No fixed phase grid, diagnostic, six-figure package or resemblance to a TDSE phase image is required; the ADK/SFA model must actually be recalculated at each tested phase."
],
"source_support": [
"He et al. (2016), article p.203601-2, Eq.(1) and Fig.1(a): finite-support circular pulses, intensity-to-field convention and combined waveform."
],
"rc_relation": "Role: central physical object. Trigger: the material physical identity is absent or invalid. Assess the substantive role condition independently of the atomic award; an atom receiving zero does not automatically establish a closure failure."
},
{
"criterion_id": "F2",
"dimension": "F",
"points": 0.5,
"scientific_requirement": "Select a standard hydrogen-1s ADK relative rate and construct a computable release-weight-to-no-Coulomb-drift-momentum/angle route without depletion or post-release Coulomb interaction.",
"award_conditions": [
"A standard hydrogen-1s ADK relative rate uses the instantaneous combined magnitude and is accumulated without depletion; release maps to no-Coulomb drift momentum and angle using the same vector potential."
],
"applicability_and_na": [
"This scientific obligation applies to an assessable submission; it is not a risk-triggered N/A item."
],
"dependencies": [
"Necessary scientific premise: F1 (Establish the joint physical driver from the two supplied finite-support pulses on one time origin, consistently treating electric field, vector potential, phase, momentum axes, helicity and units.)",
"Preserve independently valid work in O2, O3, O4, I2, I3, M3, M4, M5, M6. Propagate only a failure of the actual necessary physical premise, not a composite atom's unrelated missing branch or display defect."
],
"equivalent_evidence": [
"Consistent global phase, angular origin, momentum sign, helicity, gauge and common-scale transformations are accepted after their physical mapping is established.",
"A functionally equivalent causal control may replace the component split. If used, C(p)=2 Re[M_IAP(p) M_IR(p)*] is signed and both amplitudes must retain the same combined-field phase, vector potential and dipole argument.",
"No fixed phase grid, diagnostic, six-figure package or resemblance to a TDSE phase image is required; the ADK/SFA model must actually be recalculated at each tested phase."
],
"source_support": [
"He et al. (2016), article p.203601-2, Fig.1(a,b) and paragraph beginning \"At the moment\": parallel/antiparallel field addition modulates nonlinear ADK release, and subsequent vector-potential streaking maps release to detection direction. The ADK reference is their Ref.[32]."
],
"rc_relation": "Role: indispensable material component. Trigger: the material physical identity is absent or invalid. Assess the substantive role condition independently of the atomic award; an atom receiving zero does not automatically establish a closure failure."
},
{
"criterion_id": "F3",
"dimension": "F",
"points": 0.5,
"scientific_requirement": "Construct one coherent two-pulse final SFA amplitude and final momentum/angular distribution with the same combined field, vector potential and dipole argument; do not add unrelated pulse probabilities.",
"award_conditions": [
"The final SFA probability is the squared modulus of one coherent combined-field amplitude with consistent action and dipole; an incoherent sum of isolated pulse probabilities does not qualify."
],
"applicability_and_na": [
"This scientific obligation applies to an assessable submission; it is not a risk-triggered N/A item."
],
"dependencies": [
"Necessary scientific premise: F1 (Establish the joint physical driver from the two supplied finite-support pulses on one time origin, consistently treating electric field, vector potential, phase, momentum axes, helicity and units.)",
"Preserve independently valid work in O1, I1, M1, M2. Propagate only a failure of the actual necessary physical premise, not a composite atom's unrelated missing branch or display defect."
],
"equivalent_evidence": [
"Consistent global phase, angular origin, momentum sign, helicity, gauge and common-scale transformations are accepted after their physical mapping is established.",
"A functionally equivalent causal control may replace the component split. If used, C(p)=2 Re[M_IAP(p) M_IR(p)*] is signed and both amplitudes must retain the same combined-field phase, vector potential and dipole argument.",
"No fixed phase grid, diagnostic, six-figure package or resemblance to a TDSE phase image is required; the ADK/SFA model must actually be recalculated at each tested phase."
],
"source_support": [
"He et al. (2016), article pp.203601-2-3, Eqs.(2)-(4), Fig.2(c,h): one combined-field SFA amplitude; its interference contribution is signed, not a probability or two independently propagated single-pulse yields."
],
"rc_relation": "Role: central physical object. Trigger: the material physical identity is absent or invalid. Assess the substantive role condition independently of the atomic award; an atom receiving zero does not automatically establish a closure failure."
},
{
"criterion_id": "O1",
"dimension": "O",
"points": 0.5,
"scientific_requirement": "Present physically valid, sufficiently exposed and reconstructible combined-field and ADK release-weight/drift-direction evidence. This output criterion does not itself require the release or detection-direction causal explanation.",
"award_conditions": [
"Submitted combined-field and release-weight/drift evidence is reconstructible and exposes the physical nonlinear modulation and angular distribution; causal explanation is not required by this Output item.",
"Record object_valid, presentation_adequate and claim_adequate separately; all three must hold for this 0.5-point Output award. Examiner reconstruction cannot supply omitted candidate presentation or reasoning."
],
"applicability_and_na": [
"This scientific obligation applies to an assessable submission; it is not a risk-triggered N/A item."
],
"dependencies": [
"Necessary scientific premise: all of: F1 (Establish the joint physical driver from the two supplied finite-support pulses on one time origin, consistently treating electric field, vector potential, phase, momentum axes, helicity and units.); F2 (Select a standard hydrogen-1s ADK relative rate and construct a computable release-weight-to-no-Coulomb-drift-momentum/angle route without depletion or post-release Coulomb interaction.)",
"Preserve independently valid work in O2, O3, O4, I2, I3, M3, M4, M5, M6. Propagate only a failure of the actual necessary physical premise, not a composite atom's unrelated missing branch or display defect."
],
"equivalent_evidence": [
"Consistent global phase, angular origin, momentum sign, helicity, gauge and common-scale transformations are accepted after their physical mapping is established.",
"A functionally equivalent causal control may replace the component split. If used, C(p)=2 Re[M_IAP(p) M_IR(p)*] is signed and both amplitudes must retain the same combined-field phase, vector potential and dipole argument.",
"No fixed phase grid, diagnostic, six-figure package or resemblance to a TDSE phase image is required; the ADK/SFA model must actually be recalculated at each tested phase."
],
"source_support": [
"He et al. (2016), article p.203601-2, Fig.1(a,b) and paragraph beginning \"At the moment\": parallel/antiparallel field addition modulates nonlinear ADK release, and subsequent vector-potential streaking maps release to detection direction. The ADK reference is their Ref.[32]."
],
"rc_relation": "Role: indispensable material component. Trigger: the required output object is absent or physically invalid. Assess the substantive role condition independently of the atomic award; an atom receiving zero does not automatically establish a closure failure. Inadequate presentation or unsupported claim alone does not establish that an otherwise valid object is absent or physically invalid."
},
{
"criterion_id": "O2",
"dimension": "O",
"points": 0.5,
"scientific_requirement": "Present the 67 nm coherent, nonnegative, ring-supported, angularly modulated final photoelectron distribution at a reference phase and through genuine multi-CEP recalculation, exposing a reconstructible phase-observable relation.",
"award_conditions": [
"The submitted 67 nm final signal is nonnegative, ring-supported and angularly modulated, with genuine multi-CEP recalculation and an exposed phase-observable relation.",
"Record object_valid, presentation_adequate and claim_adequate separately; all three must hold for this 0.5-point Output award. Examiner reconstruction cannot supply omitted candidate presentation or reasoning."
],
"applicability_and_na": [
"This scientific obligation applies to an assessable submission; it is not a risk-triggered N/A item."
],
"dependencies": [
"Necessary scientific premise: F3 (Construct one coherent two-pulse final SFA amplitude and final momentum/angular distribution with the same combined field, vector potential and dipole argument; do not add unrelated pulse probabilities.)",
"Preserve independently valid work in O1, O3, O4, I3, M1, M2, M6. Propagate only a failure of the actual necessary physical premise, not a composite atom's unrelated missing branch or display defect."
],
"equivalent_evidence": [
"Consistent global phase, angular origin, momentum sign, helicity, gauge and common-scale transformations are accepted after their physical mapping is established.",
"A functionally equivalent causal control may replace the component split. If used, C(p)=2 Re[M_IAP(p) M_IR(p)*] is signed and both amplitudes must retain the same combined-field phase, vector potential and dipole argument.",
"No fixed phase grid, diagnostic, six-figure package or resemblance to a TDSE phase image is required; the ADK/SFA model must actually be recalculated at each tested phase."
],
"source_support": [
"He et al. (2016), article p.203601-3, Fig.2(a-d), especially final total (d), and adjacent ring/modulation discussion. These are 67 nm fixed-phase SFA anchors; genuine multi-CEP recalculation is a task-defined inference duty, not an existing source phase-map target."
],
"rc_relation": "Role: indispensable material component. Trigger: the required output object is absent or physically invalid. Assess the substantive role condition independently of the atomic award; an atom receiving zero does not automatically establish a closure failure. Inadequate presentation or unsupported claim alone does not establish that an otherwise valid object is absent or physically invalid."
},
{
"criterion_id": "O3",
"dimension": "O",
"points": 0.5,
"scientific_requirement": "Present attribution evidence separating a genuine phase-linked two-pulse effect from single-pulse background, normalization and display choices. A chosen canonical signed contribution must permit both positive and negative regions.",
"award_conditions": [
"Candidate-presented controls distinguish two-pulse phase attribution from isolated-pulse background and normalization/display effects; a chosen interference cross term retains its signed positive and negative regions.",
"Record object_valid, presentation_adequate and claim_adequate separately; all three must hold for this 0.5-point Output award. Examiner reconstruction cannot supply omitted candidate presentation or reasoning."
],
"applicability_and_na": [
"This scientific obligation applies to an assessable submission; it is not a risk-triggered N/A item."
],
"dependencies": [
"Necessary scientific premise: F3 (Construct one coherent two-pulse final SFA amplitude and final momentum/angular distribution with the same combined field, vector potential and dipole argument; do not add unrelated pulse probabilities.)",
"Preserve independently valid work in O1, O2, O4, I3, M1, M2, M4, M6. Propagate only a failure of the actual necessary physical premise, not a composite atom's unrelated missing branch or display defect."
],
"equivalent_evidence": [
"Consistent global phase, angular origin, momentum sign, helicity, gauge and common-scale transformations are accepted after their physical mapping is established.",
"A functionally equivalent causal control may replace the component split. If used, C(p)=2 Re[M_IAP(p) M_IR(p)*] is signed and both amplitudes must retain the same combined-field phase, vector potential and dipole argument.",
"No fixed phase grid, diagnostic, six-figure package or resemblance to a TDSE phase image is required; the ADK/SFA model must actually be recalculated at each tested phase."
],
"source_support": [
"He et al. (2016), article pp.203601-2-3, Eqs.(2)-(4), Fig.2(c,h): one combined-field SFA amplitude; its interference contribution is signed, not a probability or two independently propagated single-pulse yields."
],
"rc_relation": "Role: no independent closure role. Trigger: no independent closure trigger. Assess the substantive role condition independently of the atomic award; an atom receiving zero does not automatically establish a closure failure. Inadequate presentation or unsupported claim alone does not establish that an otherwise valid object is absent or physically invalid."
},
{
"criterion_id": "O4",
"dimension": "O",
"points": 0.5,
"scientific_requirement": "Present the 100 nm coherent, nonnegative, ring-supported, angularly modulated final photoelectron distribution at a reference phase and through genuine multi-CEP recalculation, using the same diagnostic definition as at 67 nm.",
"award_conditions": [
"The 100 nm final coherent signal and genuine CEP recalculations use the same diagnostic definition as 67 nm, with reconstructible case-specific response.",
"Record object_valid, presentation_adequate and claim_adequate separately; all three must hold for this 0.5-point Output award. Examiner reconstruction cannot supply omitted candidate presentation or reasoning."
],
"applicability_and_na": [
"This scientific obligation applies to an assessable submission; it is not a risk-triggered N/A item."
],
"dependencies": [
"Necessary scientific premise: F3 (Construct one coherent two-pulse final SFA amplitude and final momentum/angular distribution with the same combined field, vector potential and dipole argument; do not add unrelated pulse probabilities.)",
"Preserve independently valid work in O1, O2, O3, I2, M1, M2, M3, M4, M5. Propagate only a failure of the actual necessary physical premise, not a composite atom's unrelated missing branch or display defect."
],
"equivalent_evidence": [
"Consistent global phase, angular origin, momentum sign, helicity, gauge and common-scale transformations are accepted after their physical mapping is established.",
"A functionally equivalent causal control may replace the component split. If used, C(p)=2 Re[M_IAP(p) M_IR(p)*] is signed and both amplitudes must retain the same combined-field phase, vector potential and dipole argument.",
"No fixed phase grid, diagnostic, six-figure package or resemblance to a TDSE phase image is required; the ADK/SFA model must actually be recalculated at each tested phase."
],
"source_support": [
"He et al. (2016), article p.203601-3, Fig.2(f-i), especially 100 nm total (i), compared with 67 nm Fig.2(a-d); p.203601-2 states wavelength generality. Applying one diagnostic across genuine CEP recalculations is task-defined."
],
"rc_relation": "Role: indispensable material component. Trigger: the required output object is absent or physically invalid. Assess the substantive role condition independently of the atomic award; an atom receiving zero does not automatically establish a closure failure. Inadequate presentation or unsupported claim alone does not establish that an otherwise valid object is absent or physically invalid."
},
{
"criterion_id": "I1",
"dimension": "I",
"points": 0.5,
"scientific_requirement": "Identify in the submitted release evidence how the weak IAP changes nonlinear tunnelling weights through the combined-field magnitude, and identify the release-to-detection mapping through the subsequent vector potential.",
"award_conditions": [
"The candidate identifies specific changes of combined magnitude and nonlinear release weights and the subsequent vector-potential mapping in their own evidence."
],
"applicability_and_na": [
"This scientific obligation applies to an assessable submission; it is not a risk-triggered N/A item."
],
"dependencies": [
"Necessary scientific premise: O1 (Present physically valid, sufficiently exposed and reconstructible combined-field and ADK release-weight/drift-direction evidence. This output criterion does not itself require the release or detection-direction causal explanation.)",
"Preserve independently valid work in O2, O3, O4, I2, I3, M3, M4, M5, M6. Propagate only a failure of the actual necessary physical premise, not a composite atom's unrelated missing branch or display defect."
],
"equivalent_evidence": [
"Consistent global phase, angular origin, momentum sign, helicity, gauge and common-scale transformations are accepted after their physical mapping is established.",
"A functionally equivalent causal control may replace the component split. If used, C(p)=2 Re[M_IAP(p) M_IR(p)*] is signed and both amplitudes must retain the same combined-field phase, vector potential and dipole argument.",
"No fixed phase grid, diagnostic, six-figure package or resemblance to a TDSE phase image is required; the ADK/SFA model must actually be recalculated at each tested phase."
],
"source_support": [
"He et al. (2016), article p.203601-2, Fig.1(a,b) and paragraph beginning \"At the moment\": parallel/antiparallel field addition modulates nonlinear ADK release, and subsequent vector-potential streaking maps release to detection direction. The ADK reference is their Ref.[32]."
],
"rc_relation": "Role: no independent closure role. Trigger: no independent closure trigger. Assess the substantive role condition independently of the atomic award; an atom receiving zero does not automatically establish a closure failure."
},
{
"criterion_id": "I2",
"dimension": "I",
"points": 0.5,
"scientific_requirement": "Identify phase-bearing structure, genuine CEP response, and its visibility or ambiguity against background in the submitted 67 nm final and attribution evidence.",
"award_conditions": [
"The candidate identifies genuine 67 nm CEP-sensitive structure and its background visibility or ambiguity from final and attribution evidence."
],
"applicability_and_na": [
"This scientific obligation applies to an assessable submission; it is not a risk-triggered N/A item."
],
"dependencies": [
"Necessary scientific premise: all of: O2 (Present the 67 nm coherent, nonnegative, ring-supported, angularly modulated final photoelectron distribution at a reference phase and through genuine multi-CEP recalculation, exposing a reconstructible phase-observable relation.); O3 (Present attribution evidence separating a genuine phase-linked two-pulse effect from single-pulse background, normalization and display choices. A chosen canonical signed contribution must permit both positive and negative regions.)",
"Preserve independently valid work in I3, M6, O4. Propagate only a failure of the actual necessary physical premise, not a composite atom's unrelated missing branch or display defect."
],
"equivalent_evidence": [
"Consistent global phase, angular origin, momentum sign, helicity, gauge and common-scale transformations are accepted after their physical mapping is established.",
"A functionally equivalent causal control may replace the component split. If used, C(p)=2 Re[M_IAP(p) M_IR(p)*] is signed and both amplitudes must retain the same combined-field phase, vector potential and dipole argument.",
"No fixed phase grid, diagnostic, six-figure package or resemblance to a TDSE phase image is required; the ADK/SFA model must actually be recalculated at each tested phase."
],
"source_support": [
"He et al. (2016), article p.203601-3, Fig.2(a-d), especially final total (d), and adjacent ring/modulation discussion. These are 67 nm fixed-phase SFA anchors; genuine multi-CEP recalculation is a task-defined inference duty, not an existing source phase-map target."
],
"rc_relation": "Role: no independent closure role. Trigger: no independent closure trigger. Assess the substantive role condition independently of the atomic award; an atom receiving zero does not automatically establish a closure failure."
},
{
"criterion_id": "I3",
"dimension": "I",
"points": 0.5,
"scientific_requirement": "Identify case-specific responses and cross-wavelength usability differences of the same diagnostic from genuine 67 nm and 100 nm CEP recalculations; two fixed-phase summaries are insufficient.",
"award_conditions": [
"The candidate identifies wavelength-specific response and comparative usability from both recalculated phase families, not only two fixed-phase images."
],
"applicability_and_na": [
"This scientific obligation applies to an assessable submission; it is not a risk-triggered N/A item."
],
"dependencies": [
"Necessary scientific premise: all of: O2 (Present the 67 nm coherent, nonnegative, ring-supported, angularly modulated final photoelectron distribution at a reference phase and through genuine multi-CEP recalculation, exposing a reconstructible phase-observable relation.); O4 (Present the 100 nm coherent, nonnegative, ring-supported, angularly modulated final photoelectron distribution at a reference phase and through genuine multi-CEP recalculation, using the same diagnostic definition as at 67 nm.)",
"Preserve independently valid work in I2, M3, M4, M5. Propagate only a failure of the actual necessary physical premise, not a composite atom's unrelated missing branch or display defect."
],
"equivalent_evidence": [
"Consistent global phase, angular origin, momentum sign, helicity, gauge and common-scale transformations are accepted after their physical mapping is established.",
"A functionally equivalent causal control may replace the component split. If used, C(p)=2 Re[M_IAP(p) M_IR(p)*] is signed and both amplitudes must retain the same combined-field phase, vector potential and dipole argument.",
"No fixed phase grid, diagnostic, six-figure package or resemblance to a TDSE phase image is required; the ADK/SFA model must actually be recalculated at each tested phase."
],
"source_support": [
"He et al. (2016), article p.203601-3, Fig.2(f-i), especially 100 nm total (i), compared with 67 nm Fig.2(a-d); p.203601-2 states wavelength generality. Applying one diagnostic across genuine CEP recalculations is task-defined."
],
"rc_relation": "Role: no independent closure role. Trigger: no independent closure trigger. Assess the substantive role condition independently of the atomic award; an atom receiving zero does not automatically establish a closure failure."
},
{
"criterion_id": "M1",
"dimension": "M",
"points": 0.5,
"scientific_requirement": "Explain with concrete combined-field and release features how strong tunnelling nonlinearity makes the weak IAP observable in the release weights.",
"award_conditions": [
"Parallel/antiparallel field features in the submitted calculation are linked to the strong nonlinear tunnelling response that amplifies the weak IAP effect."
],
"applicability_and_na": [
"This scientific obligation applies to an assessable submission; it is not a risk-triggered N/A item."
],
"dependencies": [
"Necessary scientific premise: all of: F2 (Select a standard hydrogen-1s ADK relative rate and construct a computable release-weight-to-no-Coulomb-drift-momentum/angle route without depletion or post-release Coulomb interaction.); O1 (Present physically valid, sufficiently exposed and reconstructible combined-field and ADK release-weight/drift-direction evidence. This output criterion does not itself require the release or detection-direction causal explanation.); I1 (Identify in the submitted release evidence how the weak IAP changes nonlinear tunnelling weights through the combined-field magnitude, and identify the release-to-detection mapping through the subsequent vector potential.)",
"Preserve independently valid work in O2, O3, O4, I2, I3, M3, M4, M5, M6. Propagate only a failure of the actual necessary physical premise, not a composite atom's unrelated missing branch or display defect."
],
"equivalent_evidence": [
"Consistent global phase, angular origin, momentum sign, helicity, gauge and common-scale transformations are accepted after their physical mapping is established.",
"A functionally equivalent causal control may replace the component split. If used, C(p)=2 Re[M_IAP(p) M_IR(p)*] is signed and both amplitudes must retain the same combined-field phase, vector potential and dipole argument.",
"No fixed phase grid, diagnostic, six-figure package or resemblance to a TDSE phase image is required; the ADK/SFA model must actually be recalculated at each tested phase."
],
"source_support": [
"He et al. (2016), article p.203601-2, Fig.1(a,b) and paragraph beginning \"At the moment\": parallel/antiparallel field addition modulates nonlinear ADK release, and subsequent vector-potential streaking maps release to detection direction. The ADK reference is their Ref.[32]."
],
"rc_relation": "Role: principal mechanism or commissioned conclusion. Trigger: the principal physical mechanism is absent or wrong. Assess the substantive role condition independently of the atomic award; an atom receiving zero does not automatically establish a closure failure."
},
{
"criterion_id": "M2",
"dimension": "M",
"points": 0.5,
"scientific_requirement": "Close the angular-streaking causal chain from release information through vector potential/drift momentum to final detection direction, rather than equating instantaneous field angle with detected electron angle.",
"award_conditions": [
"The candidate connects release weighting to later vector-potential acceleration and final momentum angle; instantaneous field angle is not substituted for detection angle."
],
"applicability_and_na": [
"This scientific obligation applies to an assessable submission; it is not a risk-triggered N/A item."
],
"dependencies": [
"Necessary scientific premise: all of: F2 (Select a standard hydrogen-1s ADK relative rate and construct a computable release-weight-to-no-Coulomb-drift-momentum/angle route without depletion or post-release Coulomb interaction.); O1 (Present physically valid, sufficiently exposed and reconstructible combined-field and ADK release-weight/drift-direction evidence. This output criterion does not itself require the release or detection-direction causal explanation.); I1 (Identify in the submitted release evidence how the weak IAP changes nonlinear tunnelling weights through the combined-field magnitude, and identify the release-to-detection mapping through the subsequent vector potential.)",
"Preserve independently valid work in O2, O3, O4, I2, I3, M3, M4, M5, M6. Propagate only a failure of the actual necessary physical premise, not a composite atom's unrelated missing branch or display defect."
],
"equivalent_evidence": [
"Consistent global phase, angular origin, momentum sign, helicity, gauge and common-scale transformations are accepted after their physical mapping is established.",
"A functionally equivalent causal control may replace the component split. If used, C(p)=2 Re[M_IAP(p) M_IR(p)*] is signed and both amplitudes must retain the same combined-field phase, vector potential and dipole argument.",
"No fixed phase grid, diagnostic, six-figure package or resemblance to a TDSE phase image is required; the ADK/SFA model must actually be recalculated at each tested phase."
],
"source_support": [
"He et al. (2016), article p.203601-2, Fig.1(a,b) and paragraph beginning \"At the moment\": parallel/antiparallel field addition modulates nonlinear ADK release, and subsequent vector-potential streaking maps release to detection direction. The ADK reference is their Ref.[32]."
],
"rc_relation": "Role: principal mechanism or commissioned conclusion. Trigger: the principal physical mechanism is absent or wrong. Assess the substantive role condition independently of the atomic award; an atom receiving zero does not automatically establish a closure failure."
},
{
"criterion_id": "M3",
"dimension": "M",
"points": 0.5,
"scientific_requirement": "Use attribution evidence to explain which part of the final coherent signal carries two-pulse phase information and why it is not a single-pulse, normalization or display effect.",
"award_conditions": [
"Attribution evidence supports a causal two-pulse phase contribution in the complete signal and excludes a single-pulse or display-only explanation."
],
"applicability_and_na": [
"This scientific obligation applies to an assessable submission; it is not a risk-triggered N/A item."
],
"dependencies": [
"Necessary scientific premise: all of: F3 (Construct one coherent two-pulse final SFA amplitude and final momentum/angular distribution with the same combined field, vector potential and dipole argument; do not add unrelated pulse probabilities.); O3 (Present attribution evidence separating a genuine phase-linked two-pulse effect from single-pulse background, normalization and display choices. A chosen canonical signed contribution must permit both positive and negative regions.); I2 (Identify phase-bearing structure, genuine CEP response, and its visibility or ambiguity against background in the submitted 67 nm final and attribution evidence.)",
"Preserve independently valid work in O4, I3, M4, M5, M6. Propagate only a failure of the actual necessary physical premise, not a composite atom's unrelated missing branch or display defect."
],
"equivalent_evidence": [
"Consistent global phase, angular origin, momentum sign, helicity, gauge and common-scale transformations are accepted after their physical mapping is established.",
"A functionally equivalent causal control may replace the component split. If used, C(p)=2 Re[M_IAP(p) M_IR(p)*] is signed and both amplitudes must retain the same combined-field phase, vector potential and dipole argument.",
"No fixed phase grid, diagnostic, six-figure package or resemblance to a TDSE phase image is required; the ADK/SFA model must actually be recalculated at each tested phase."
],
"source_support": [
"He et al. (2016), article pp.203601-2-3, Eqs.(2)-(4), Fig.2(c,h): one combined-field SFA amplitude; its interference contribution is signed, not a probability or two independently propagated single-pulse yields."
],
"rc_relation": "Role: principal mechanism or commissioned conclusion. Trigger: the principal physical mechanism is absent or wrong. Assess the substantive role condition independently of the atomic award; an atom receiving zero does not automatically establish a closure failure."
},
{
"criterion_id": "M4",
"dimension": "M",
"points": 0.5,
"scientific_requirement": "Define a reconstructible CEP diagnostic and establish its phase-observable mapping and discriminating power through genuine multi-phase calculation.",
"award_conditions": [
"The chosen diagnostic has a reconstructible mathematical definition and phase-to-observable mapping established by actual recalculation at multiple phases."
],
"applicability_and_na": [
"This scientific obligation applies to an assessable submission; it is not a risk-triggered N/A item."
],
"dependencies": [
"Necessary scientific premise: all of: O2 (Present the 67 nm coherent, nonnegative, ring-supported, angularly modulated final photoelectron distribution at a reference phase and through genuine multi-CEP recalculation, exposing a reconstructible phase-observable relation.); I2 (Identify phase-bearing structure, genuine CEP response, and its visibility or ambiguity against background in the submitted 67 nm final and attribution evidence.)",
"Preserve independently valid work in O4, I3, M6. Propagate only a failure of the actual necessary physical premise, not a composite atom's unrelated missing branch or display defect."
],
"equivalent_evidence": [
"Consistent global phase, angular origin, momentum sign, helicity, gauge and common-scale transformations are accepted after their physical mapping is established.",
"A functionally equivalent causal control may replace the component split. If used, C(p)=2 Re[M_IAP(p) M_IR(p)*] is signed and both amplitudes must retain the same combined-field phase, vector potential and dipole argument.",
"No fixed phase grid, diagnostic, six-figure package or resemblance to a TDSE phase image is required; the ADK/SFA model must actually be recalculated at each tested phase."
],
"source_support": [
"He et al. (2016), article pp.203601-3-4, Fig.3(a) and paragraphs defining angular integration and CEP dependence; pp.203601-2-3, Eq.(4), Fig.2(d,i). Fig.3(a) is a hydrogen 100 nm TDSE phase map: it motivates phase-sensitive inference but does not prescribe the different ADK/SFA diagnostic or its geometry."
],
"rc_relation": "Role: principal mechanism or commissioned conclusion. Trigger: the commissioned scientific conclusion is absent or wrong. Assess the substantive role condition independently of the atomic award; an atom receiving zero does not automatically establish a closure failure."
},
{
"criterion_id": "M5",
"dimension": "M",
"points": 0.5,
"scientific_requirement": "Assess diagnostic visibility in the complete nonnegative observable, ambiguity or non-uniqueness, and the CEP resolution or characterization actually supported.",
"award_conditions": [
"The final nonnegative signal supports the stated diagnostic visibility, ambiguities and achievable CEP discrimination; noiseless self-interpolation alone is not physical resolution."
],
"applicability_and_na": [
"This scientific obligation applies to an assessable submission; it is not a risk-triggered N/A item."
],
"dependencies": [
"Necessary scientific premise: all of: O2 (Present the 67 nm coherent, nonnegative, ring-supported, angularly modulated final photoelectron distribution at a reference phase and through genuine multi-CEP recalculation, exposing a reconstructible phase-observable relation.); O3 (Present attribution evidence separating a genuine phase-linked two-pulse effect from single-pulse background, normalization and display choices. A chosen canonical signed contribution must permit both positive and negative regions.); I2 (Identify phase-bearing structure, genuine CEP response, and its visibility or ambiguity against background in the submitted 67 nm final and attribution evidence.)",
"Preserve independently valid work in O4, I3, M6. Propagate only a failure of the actual necessary physical premise, not a composite atom's unrelated missing branch or display defect."
],
"equivalent_evidence": [
"Consistent global phase, angular origin, momentum sign, helicity, gauge and common-scale transformations are accepted after their physical mapping is established.",
"A functionally equivalent causal control may replace the component split. If used, C(p)=2 Re[M_IAP(p) M_IR(p)*] is signed and both amplitudes must retain the same combined-field phase, vector potential and dipole argument.",
"No fixed phase grid, diagnostic, six-figure package or resemblance to a TDSE phase image is required; the ADK/SFA model must actually be recalculated at each tested phase."
],
"source_support": [
"He et al. (2016), article pp.203601-3-4, Fig.3(a) and paragraphs defining angular integration and CEP dependence; pp.203601-2-3, Eq.(4), Fig.2(d,i). Fig.3(a) is a hydrogen 100 nm TDSE phase map: it motivates phase-sensitive inference but does not prescribe the different ADK/SFA diagnostic or its geometry."
],
"rc_relation": "Role: principal mechanism or commissioned conclusion. Trigger: the commissioned scientific conclusion is absent or wrong. Assess the substantive role condition independently of the atomic award; an atom receiving zero does not automatically establish a closure failure."
},
{
"criterion_id": "M6",
"dimension": "M",
"points": 0.5,
"scientific_requirement": "Determine from the two wavelength-specific calculations whether the same diagnostic remains applicable and explain the case-specific differences; fixed-phase summaries do not establish cross-wavelength phase characterization.",
"award_conditions": [
"Both wavelength calculations establish whether the same diagnostic transfers and explain case-dependent changes within their actual phase domain."
],
"applicability_and_na": [
"This scientific obligation applies to an assessable submission; it is not a risk-triggered N/A item."
],
"dependencies": [
"Necessary scientific premise: all of: O2 (Present the 67 nm coherent, nonnegative, ring-supported, angularly modulated final photoelectron distribution at a reference phase and through genuine multi-CEP recalculation, exposing a reconstructible phase-observable relation.); O4 (Present the 100 nm coherent, nonnegative, ring-supported, angularly modulated final photoelectron distribution at a reference phase and through genuine multi-CEP recalculation, using the same diagnostic definition as at 67 nm.); I3 (Identify case-specific responses and cross-wavelength usability differences of the same diagnostic from genuine 67 nm and 100 nm CEP recalculations; two fixed-phase summaries are insufficient.)",
"Preserve independently valid work in I2, M3, M4, M5. Propagate only a failure of the actual necessary physical premise, not a composite atom's unrelated missing branch or display defect."
],
"equivalent_evidence": [
"Consistent global phase, angular origin, momentum sign, helicity, gauge and common-scale transformations are accepted after their physical mapping is established.",
"A functionally equivalent causal control may replace the component split. If used, C(p)=2 Re[M_IAP(p) M_IR(p)*] is signed and both amplitudes must retain the same combined-field phase, vector potential and dipole argument.",
"No fixed phase grid, diagnostic, six-figure package or resemblance to a TDSE phase image is required; the ADK/SFA model must actually be recalculated at each tested phase."
],
"source_support": [
"He et al. (2016), article p.203601-3, Fig.2(f-i), especially 100 nm total (i), compared with 67 nm Fig.2(a-d); p.203601-2 states wavelength generality. Applying one diagnostic across genuine CEP recalculations is task-defined."
],
"rc_relation": "Role: principal mechanism or commissioned conclusion. Trigger: the commissioned scientific conclusion is absent or wrong. Assess the substantive role condition independently of the atomic award; an atom receiving zero does not automatically establish a closure failure."
},
{
"criterion_id": "M7",
"dimension": "M",
"points": 0.5,
"scientific_requirement": "State a final CEP-characterization conclusion commensurate with the ADK/SFA evidence, distinguishing model-level characterization from experimental quantitative or unique inversion claims.",
"award_conditions": [
"The final characterization claim follows the ADK/SFA evidence and distinguishes model-level discrimination from experimental accuracy or unique inversion."
],
"applicability_and_na": [
"This scientific obligation applies to an assessable submission; it is not a risk-triggered N/A item."
],
"dependencies": [
"Necessary scientific premise: all of: M4 (Define a reconstructible CEP diagnostic and establish its phase-observable mapping and discriminating power through genuine multi-phase calculation.); M5 (Assess diagnostic visibility in the complete nonnegative observable, ambiguity or non-uniqueness, and the CEP resolution or characterization actually supported.); M6 (Determine from the two wavelength-specific calculations whether the same diagnostic remains applicable and explain the case-specific differences; fixed-phase summaries do not establish cross-wavelength phase characterization.)",
"Preserve all other independently valid work; no additional unlisted hard dependency or duplicate deduction is implied."
],
"equivalent_evidence": [
"Consistent global phase, angular origin, momentum sign, helicity, gauge and common-scale transformations are accepted after their physical mapping is established.",
"A functionally equivalent causal control may replace the component split. If used, C(p)=2 Re[M_IAP(p) M_IR(p)*] is signed and both amplitudes must retain the same combined-field phase, vector potential and dipole argument.",
"No fixed phase grid, diagnostic, six-figure package or resemblance to a TDSE phase image is required; the ADK/SFA model must actually be recalculated at each tested phase."
],
"source_support": [
"He et al. (2016), article pp.203601-3-4, Fig.3(a) and paragraphs defining angular integration and CEP dependence; pp.203601-2-3, Eq.(4), Fig.2(d,i). Fig.3(a) is a hydrogen 100 nm TDSE phase map: it motivates phase-sensitive inference but does not prescribe the different ADK/SFA diagnostic or its geometry."
],
"rc_relation": "Role: principal mechanism or commissioned conclusion. Trigger: the commissioned scientific conclusion is absent or wrong. Assess the substantive role condition independently of the atomic award; an atom receiving zero does not automatically establish a closure failure."
},
{
"criterion_id": "M8",
"dimension": "M",
"points": 0.5,
"scientific_requirement": "Reconcile field, ADK, SFA, attribution and final-diagnostic evidence; investigate material conflicts before concluding, and distinguish a genuine negative result from information lost by observable compression.",
"award_conditions": [
"The candidate reconciles field, release, coherent SFA and attribution evidence, investigating material conflicts and distinguishing a true null result from diagnostic compression."
],
"applicability_and_na": [
"This scientific obligation applies to an assessable submission; it is not a risk-triggered N/A item."
],
"dependencies": [
"Necessary scientific premise: all of: M1 (Explain with concrete combined-field and release features how strong tunnelling nonlinearity makes the weak IAP observable in the release weights.); M2 (Close the angular-streaking causal chain from release information through vector potential/drift momentum to final detection direction, rather than equating instantaneous field angle with detected electron angle.); M3 (Use attribution evidence to explain which part of the final coherent signal carries two-pulse phase information and why it is not a single-pulse, normalization or display effect.); M4 (Define a reconstructible CEP diagnostic and establish its phase-observable mapping and discriminating power through genuine multi-phase calculation.)",
"Preserve all other independently valid work; no additional unlisted hard dependency or duplicate deduction is implied."
],
"equivalent_evidence": [
"Consistent global phase, angular origin, momentum sign, helicity, gauge and common-scale transformations are accepted after their physical mapping is established.",
"A functionally equivalent causal control may replace the component split. If used, C(p)=2 Re[M_IAP(p) M_IR(p)*] is signed and both amplitudes must retain the same combined-field phase, vector potential and dipole argument.",
"No fixed phase grid, diagnostic, six-figure package or resemblance to a TDSE phase image is required; the ADK/SFA model must actually be recalculated at each tested phase."
],
"source_support": [
"He et al. (2016), article pp.203601-3-4, Fig.3(a) and paragraphs defining angular integration and CEP dependence; pp.203601-2-3, Eq.(4), Fig.2(d,i). Fig.3(a) is a hydrogen 100 nm TDSE phase map: it motivates phase-sensitive inference but does not prescribe the different ADK/SFA diagnostic or its geometry."
],
"rc_relation": "Role: principal mechanism or commissioned conclusion. Trigger: the principal physical mechanism is absent or wrong. Assess the substantive role condition independently of the atomic award; an atom receiving zero does not automatically establish a closure failure."
},
{
"criterion_id": "V1",
"dimension": "V",
"points": 0.5,
"scientific_requirement": "Positively state the model and evidence domain: hydrogen 1s, the specified two pulses, the no-depletion/no-Coulomb ADK baseline, coherent final SFA, and the actually sampled wavelength/CEP range.",
"award_conditions": [
"The candidate positively declares hydrogen 1s, specified pulses, no-depletion/no-Coulomb release model, coherent SFA, and calculated CEP/wavelength domain."
],
"applicability_and_na": [
"This positive scientific scope/evidence duty is unconditional; N/A is not permitted."
],
"dependencies": [
"Necessary scientific premise: No fixed upstream prerequisite; judge this scientific obligation on its own evidence.",
"Preserve all other independently valid work; no additional unlisted hard dependency or duplicate deduction is implied."
],
"equivalent_evidence": [
"Consistent global phase, angular origin, momentum sign, helicity, gauge and common-scale transformations are accepted after their physical mapping is established.",
"A functionally equivalent causal control may replace the component split. If used, C(p)=2 Re[M_IAP(p) M_IR(p)*] is signed and both amplitudes must retain the same combined-field phase, vector potential and dipole argument.",
"No fixed phase grid, diagnostic, six-figure package or resemblance to a TDSE phase image is required; the ADK/SFA model must actually be recalculated at each tested phase."
],
"source_support": [
"He et al. (2016), article pp.203601-2-4, Eqs.(2)-(5), discussion distinguishing explanatory SFA from quantitative TDSE and Fig.4(a,b) noise examples. The positive stated model domain and risk-triggered validation are task/evaluation duties; neither TDSE nor these particular noise controls is compulsory."
],
"rc_relation": "Role: no independent closure role. Trigger: no independent closure trigger. Assess the substantive role condition independently of the atomic award; an atom receiving zero does not automatically establish a closure failure."
},
{
"criterion_id": "V2",
"dimension": "V",
"points": 0.5,
"scientific_requirement": "When the submitted method, data, anomaly or claim exposes a material risk, exclude a concrete alternative with discriminating evidence or narrow the threatened conclusion; omission of an examiner-preferred check alone does not trigger this obligation.",
"award_conditions": [
"If an actual conclusion-threatening risk is triggered, discriminating evidence excludes the concrete alternative or the claim is narrowed; an untriggered assessable item remains N/A with fixed credit."
],
"applicability_and_na": [
"Applicable only when a concrete material risk arises from the submitted method, data, anomaly or claim and threatens a retained conclusion.",
"If untriggered in an assessable attempt, record N/A with fixed 0.5-point contribution, exclude it from applicable functional-completion counts, make no positive validation-evidence claim and do not block RC4."
],
"dependencies": [
"Necessary scientific premise: No fixed upstream prerequisite; judge this scientific obligation on its own evidence.",
"Preserve all other independently valid work; no additional unlisted hard dependency or duplicate deduction is implied."
],
"equivalent_evidence": [
"Consistent global phase, angular origin, momentum sign, helicity, gauge and common-scale transformations are accepted after their physical mapping is established.",
"A functionally equivalent causal control may replace the component split. If used, C(p)=2 Re[M_IAP(p) M_IR(p)*] is signed and both amplitudes must retain the same combined-field phase, vector potential and dipole argument.",
"No fixed phase grid, diagnostic, six-figure package or resemblance to a TDSE phase image is required; the ADK/SFA model must actually be recalculated at each tested phase."
],
"source_support": [
"He et al. (2016), article pp.203601-2-4, Eqs.(2)-(5), discussion distinguishing explanatory SFA from quantitative TDSE and Fig.4(a,b) noise examples. The positive stated model domain and risk-triggered validation are task/evaluation duties; neither TDSE nor these particular noise controls is compulsory."
],
"rc_relation": "Role: material validation/scope. Trigger: a triggered, conclusion-threatening material validation/scope risk remains unresolved. Assess the substantive role condition independently of the atomic award; an atom receiving zero does not automatically establish a closure failure."
}
],
"case_scientific_rules": [
"Each of the exact twenty criteria is worth 0 or 0.5 points; the sum is Atomic Score on 0-10. Judge the essential scientific core: an immaterial notation or display imperfection alone does not remove credit. Do not interpolate or inherit numerical partial-credit ranges.",
"Object existence, candidate presentation, candidate identification and physical inference are distinct evidence acts. Examiner-generated plots, slices, fits or diagnostics may verify an object but cannot supply omitted candidate presentation, identification, mechanism or validation.",
"For every Output atom separately establish object_valid, presentation_adequate and claim_adequate. Credit requires all three. Assess physical identity, global pattern and important secondary structure, not a single superficial resemblance.",
"Apply only scientifically necessary dependencies, branch-locally. A composite prerequisite failing for an unrelated part does not erase independently established evidence. Identify the exact failed premise and why the downstream argument cannot stand independently; do not turn a half-point result into a mechanical gate.",
"Risk-triggered validation is applicable only to a concrete threat arising from the submitted method, data, anomaly or claim. In an assessable attempt, an untriggered criterion is N/A and contributes its fixed 0.5 points, but supplies no positive validation evidence and does not block RC4.",
"Positive model/scope duties are unconditional where specified. Merely omitting an examiner-preferred convergence procedure, control or plot does not create a material risk. A valid run with no assessable scientific work is 0 and RC0 before atom summation; N/A cannot create credit for it.",
"Research Closure is descriptive and independent of Atomic Score and criterion awards. Evaluate scientific role conditions against their specified facts, not zero-valued atoms; choose the lowest applicable level across required roles of all indispensable/co-primary claims. Supporting claims alone do not determine overall RC.",
"Numerical defects matter where they damage a physical object or make a scientific conclusion false/unsupported; do not deduct the same defect again as generic incompleteness, missing convergence or validation. A fluent interpretation does not rescue a materially incorrect signal.",
"Accept physically valid equivalent methods and representations after aligning identity, units, gauge/basis, normalization, signs, support and component relations as applicable. Do not invent a tolerance when the evidence cannot distinguish equivalence from error; retain a bounded issue for review.",
"Reference verification is required when a material decision depends on resolution, fine structure, component completeness, formula identity or representational equivalence, including nonstandard projections, cropping or reconstruction used for full Output credit. Consult the applicable scientific source and appropriately scoped validated references after establishing observable, case/component and convention mapping. It cannot complete missing candidate reasoning.",
"A provisional Atomic Score of at least 9.0 or provisional RC4 requires examiner-side focused verification of one central output and one principal-mechanism link against applicable scientific references, checking identity, sign, ordering and overall pattern. This is not an additional candidate deliverable or pixel-matching requirement.",
"The ADK and coherent SFA branches retain independent credit when the other fails. A failed 100 nm branch blocks cross-wavelength conclusions, not independently established 67 nm attribution or diagnostic conclusions.",
"A tiny noiseless same-model interpolation error is not by itself physical CEP resolution. Null response must not be inferred solely from a compressed diagnostic while information survives in the underlying signal.",
"Do not grade absolute photoelectron yield, exact peak-to-valley ratio, crop, annotation, colours or pixels. Noise, clipping or resolution matters only when it changes the physical signal or obscures a material claim.",
"The canonical route superposes the two physical fields, uses one consistent vector potential with $\\mathbf E=-d\\mathbf A/dt$, and applies a standard hydrogen-$1s$ ADK relative rate to the instantaneous combined-field magnitude. Under the task scope, release is accumulated without depletion and the no-Coulomb drift direction is obtained from the vector potential at release. A consistently opposite global momentum convention is equivalent after the corresponding angular transformation.",
"At the SFA level, the canonical source route evaluates one coherent two-pulse amplitude. Linearity in its electric-field factor permits IAP-driven and IR-driven component amplitudes only while they retain the same combined-field phase, vector potentials, and dipole argument. Their modulus-square expansion contains two nonnegative self terms and the signed contribution",
"$$\nC(\\mathbf p)=2\\operatorname{Re}\\!\\left[\nM_{\\mathrm{IAP}}(\\mathbf p)M_{\\mathrm{IR}}^*(\\mathbf p)\n\\right].\n$$",
"Students need not use or submit this decomposition. A replacement must still separate a genuine phase-linked two-pulse effect from the final coherent signal, single-pulse background, normalization changes, and numerical artefacts.",
"For the 67 nm reference case, parallel and antiparallel portions of the two fields respectively alter the combined magnitude. The nonlinear tunnelling response makes the weak IAP visible in the release weighting, and the later field maps release information into a detected direction.",
"The canonical 67 nm drift-angle result has a strong nonuniform topology with a dominant sector, flanking structures, intervening depressions, and a broad opposite-side minimum after any allowed global angular transformation.",
"The canonical signed SFA contribution contains both positive and negative momentum regions. It has a finer sequence of alternating sectors for 67 nm and fewer/broader sectors for 100 nm. The corresponding full distributions are nonnegative, ring-supported, angularly modulated, and case-specific.",
"Changing `theta_IAP` must change a phase-bearing final signal if the proposed characterization route is working. The source directly presents a CEP-dependent angular map for the 100 nm hydrogen case at the TDSE level. This supports the scientific need for a phase variation; neither that TDSE map nor its stripe geometry is a visual or quantitative target for the student's different ADK/SFA calculation.",
"The source states that the principle is not restricted to one IAP wavelength. In this examination abstraction, 67 nm and 100 nm test whether one diagnostic remains usable across wavelength; they are not two independent projects.",
"The source supplies the physical reason that CEP information can enter the angular signal, while the task asks the student to construct an ADK/SFA-level phase study. The phase scan is necessary evidence for answering the research question, not a request to reproduce the source TDSE phase image. Grade the mathematical validity of the student's chosen diagnostic, consistent recalculation of the stated model across phase, the physical credibility of the resolved response, and whether the evidence supports the claim made. Do not compare its image, stripe count, slope, contrast, or layout with the source TDSE panel.",
"An examiner-side calculation may be used to audit task feasibility or diagnose a suspected implementation error, but it must not become a hidden pixel template, fixed diagnostic, phase grid, or expected curve. ",
"For F1-F3/O1-O4/M1-M4, the source convention (article p.203601-2, Eqs.(1)-(4)) is\n$$M(\\mathbf p)=-i\\int dt\\,e^{i\\phi(t)}\\mathbf d[\\mathbf p+\\mathbf A(t)]\\cdot\\mathbf E(t),\\quad\n\\phi(t)=I_p(t-t_0)+\\frac12\\int_{t_0}^{t}[\\mathbf p+\\mathbf A(s)]^2ds,$$\n$$\\mathbf E=\\mathbf E_{\\rm IAP}+\\mathbf E_{\\rm IR}=-\\dot{\\mathbf A},\\quad I_p=0.5,\\quad\n\\mathbf d(\\mathbf k)\\propto\\frac{\\mathbf k}{(k^2+2I_p)^3}.$$\nThe common dipole scale is free. In the usual electron convention with zero final vector potential, the no-Coulomb zero-launch drift is $\\mathbf p_\\infty=-\\mathbf A(t_r)$; an opposite global momentum convention requires the matching angular transformation. A hydrogen-1s relative ADK form is $w(F)\\propto F^{-1}\\exp[-2/(3F)]$, $F=|\\mathbf E(t_r)|$, within the stipulated tunnelling baseline. The source cites ADK rather than printing this rate. The already stated signed cross term is the algebraic expansion of this one amplitude; components retain the same combined-field action and dipole.\n\nThe physical finite-support source pulse is $\\mathbf E_i(t)=E_{0i}[\\cos(\\omega_it+\\theta_i)\\hat x-\\sin(\\omega_it+\\theta_i)\\hat y]\\cos^2(\\pi t/\\tau_i)$ for $|t|<\\tau_i/2$, zero otherwise, with $E_{0i}=\\sqrt{I_i/(3.51\\times10^{16}\\,{\\rm W\\,cm^{-2}})}$ in atomic units. These are source Eq.(1), not a vector-potential envelope substituted for the physical field."
],
"closure_requirements": {
"RC0": [
"The central physical object is absent or materially invalid, or a valid run contains no assessable scientific work. This is a scientific fact determination, not a low-score rule.",
"Required indispensable claim CL0, central physical object: all of: F1 (Establish the joint physical driver from the two supplied finite-support pulses on one time origin, consistently treating electric field, vector potential, phase, momentum axes, helicity and units.); F3 (Construct one coherent two-pulse final SFA amplitude and final momentum/angular distribution with the same combined field, vector potential and dipole argument; do not add unrelated pulse probabilities.). Judge the role-specific failure facts, not the corresponding atom scores."
],
"RC1": [
"With a valid central object, an indispensable material component needed for the commissioned research question is absent or invalid. Presentation or claim inadequacy alone does not establish object absence/invalidity.",
"Required co primary claim CL1, indispensable material component: all of: F2 (Select a standard hydrogen-1s ADK relative rate and construct a computable release-weight-to-no-Coulomb-drift-momentum/angle route without depletion or post-release Coulomb interaction.); O1 (Present physically valid, sufficiently exposed and reconstructible combined-field and ADK release-weight/drift-direction evidence. This output criterion does not itself require the release or detection-direction causal explanation.). Judge the role-specific failure facts, not the corresponding atom scores.",
"Required co primary claim CL2, indispensable material component: all of: O2 (Present the 67 nm coherent, nonnegative, ring-supported, angularly modulated final photoelectron distribution at a reference phase and through genuine multi-CEP recalculation, exposing a reconstructible phase-observable relation.); O4 (Present the 100 nm coherent, nonnegative, ring-supported, angularly modulated final photoelectron distribution at a reference phase and through genuine multi-CEP recalculation, using the same diagnostic definition as at 67 nm.). Judge the role-specific failure facts, not the corresponding atom scores."
],
"RC2": [
"With the central object and indispensable components present, a required principal mechanism, state-dependence account or commissioned conclusion remains absent or wrong.",
"Required co primary claim CL1, principal mechanism or commissioned conclusion: all of: M1 (Explain with concrete combined-field and release features how strong tunnelling nonlinearity makes the weak IAP observable in the release weights.); M2 (Close the angular-streaking causal chain from release information through vector potential/drift momentum to final detection direction, rather than equating instantaneous field angle with detected electron angle.). Judge the role-specific failure facts, not the corresponding atom scores.",
"Required co primary claim CL2, principal mechanism or commissioned conclusion: all of: M3 (Use attribution evidence to explain which part of the final coherent signal carries two-pulse phase information and why it is not a single-pulse, normalization or display effect.); M4 (Define a reconstructible CEP diagnostic and establish its phase-observable mapping and discriminating power through genuine multi-phase calculation.); M5 (Assess diagnostic visibility in the complete nonnegative observable, ambiguity or non-uniqueness, and the CEP resolution or characterization actually supported.); M6 (Determine from the two wavelength-specific calculations whether the same diagnostic remains applicable and explain the case-specific differences; fixed-phase summaries do not establish cross-wavelength phase characterization.). Judge the role-specific failure facts, not the corresponding atom scores.",
"Required co primary claim CL3, principal mechanism or commissioned conclusion: all of: M7 (State a final CEP-characterization conclusion commensurate with the ADK/SFA evidence, distinguishing model-level characterization from experimental quantitative or unique inversion claims.); M8 (Reconcile field, ADK, SFA, attribution and final-diagnostic evidence; investigate material conflicts before concluding, and distinguish a genuine negative result from information lost by observable compression.). Judge the role-specific failure facts, not the corresponding atom scores."
],
"RC3": [
"With the central object, indispensable components and principal mechanism established, a concrete material validation/scope risk remains unresolved and threatens a central conclusion. It is not triggered by omission of a preferred named check.",
"Before assigning RC3, establish all six elements: 1. Identify the concrete unexcluded failure mode. 2. Explain its origin in the submitted method, data or conclusion. 3. Identify a fair basis in the task or standard scientific reasoning for recognizing this risk. 4. Identify the threatened central conclusion. 5. Explain why submitted evidence cannot expose/exclude the failure; naming it alone does not resolve it. 6. Give examples of functionally equivalent remedies without prescribing one method.",
"Required co primary claim CL3, material validation/scope: V2 (When the submitted method, data, anomaly or claim exposes a material risk, exclude a concrete alternative with discriminating evidence or narrow the threatened conclusion; omission of an examiner-preferred check alone does not trigger this obligation.). Judge the role-specific failure facts, not the corresponding atom scores."
],
"RC4": [
"All required scientific roles of every indispensable and co-primary claim close, including applicable material-risk treatment and evidence-bounded scope. Supporting claims do not independently determine RC; untriggered risk N/A does not block RC4.",
"Choose the lowest applicable level when required role failures coexist. RC has no score cap, floor or multiplier and cannot be inferred mechanically from criterion awards. A scope restriction removes unsupported breadth but cannot repair a wrong signal, absent component or missing principal mechanism.",
"Close CL0 central physical object: all of: F1 (Establish the joint physical driver from the two supplied finite-support pulses on one time origin, consistently treating electric field, vector potential, phase, momentum axes, helicity and units.); F3 (Construct one coherent two-pulse final SFA amplitude and final momentum/angular distribution with the same combined field, vector potential and dipole argument; do not add unrelated pulse probabilities.).",
"Close CL1 indispensable material component: all of: F2 (Select a standard hydrogen-1s ADK relative rate and construct a computable release-weight-to-no-Coulomb-drift-momentum/angle route without depletion or post-release Coulomb interaction.); O1 (Present physically valid, sufficiently exposed and reconstructible combined-field and ADK release-weight/drift-direction evidence. This output criterion does not itself require the release or detection-direction causal explanation.).",
"Close CL1 principal mechanism or commissioned conclusion: all of: M1 (Explain with concrete combined-field and release features how strong tunnelling nonlinearity makes the weak IAP observable in the release weights.); M2 (Close the angular-streaking causal chain from release information through vector potential/drift momentum to final detection direction, rather than equating instantaneous field angle with detected electron angle.).",
"Close CL2 indispensable material component: all of: O2 (Present the 67 nm coherent, nonnegative, ring-supported, angularly modulated final photoelectron distribution at a reference phase and through genuine multi-CEP recalculation, exposing a reconstructible phase-observable relation.); O4 (Present the 100 nm coherent, nonnegative, ring-supported, angularly modulated final photoelectron distribution at a reference phase and through genuine multi-CEP recalculation, using the same diagnostic definition as at 67 nm.).",
"Close CL2 principal mechanism or commissioned conclusion: all of: M3 (Use attribution evidence to explain which part of the final coherent signal carries two-pulse phase information and why it is not a single-pulse, normalization or display effect.); M4 (Define a reconstructible CEP diagnostic and establish its phase-observable mapping and discriminating power through genuine multi-phase calculation.); M5 (Assess diagnostic visibility in the complete nonnegative observable, ambiguity or non-uniqueness, and the CEP resolution or characterization actually supported.); M6 (Determine from the two wavelength-specific calculations whether the same diagnostic remains applicable and explain the case-specific differences; fixed-phase summaries do not establish cross-wavelength phase characterization.).",
"Close CL3 principal mechanism or commissioned conclusion: all of: M7 (State a final CEP-characterization conclusion commensurate with the ADK/SFA evidence, distinguishing model-level characterization from experimental quantitative or unique inversion claims.); M8 (Reconcile field, ADK, SFA, attribution and final-diagnostic evidence; investigate material conflicts before concluding, and distinguish a genuine negative result from information lost by observable compression.).",
"Close CL3 material validation/scope: V2 (When the submitted method, data, anomaly or claim exposes a material risk, exclude a concrete alternative with discriminating evidence or narrow the threatened conclusion; omission of an examiner-preferred check alone does not trigger this obligation.)."
]
},
"references": [
{
"citation": "Pei-Lun He, Camilo Ruiz, and Feng He. 2016. *Carrier-Envelope-Phase Characterization for an Isolated Attosecond Pulse by Angular Streaking*. *Physical Review Letters*, 116, 203601.",
"url": "https://doi.org/10.1103/PhysRevLett.116.203601",
"scientific_scope": "Carrier-Envelope-Phase Characterization for an Isolated Attosecond Pulse by Angular Streaking",
"anchors": [
"He et al. (2016), article p.203601-2, Eq.(1) and Fig.1(a): finite-support circular pulses, intensity-to-field convention and combined waveform.",
"He et al. (2016), article p.203601-2, Fig.1(a,b) and paragraph beginning \"At the moment\": parallel/antiparallel field addition modulates nonlinear ADK release, and subsequent vector-potential streaking maps release to detection direction. The ADK reference is their Ref.[32].",
"He et al. (2016), article pp.203601-2-3, Eqs.(2)-(4), Fig.2(c,h): one combined-field SFA amplitude; its interference contribution is signed, not a probability or two independently propagated single-pulse yields.",
"He et al. (2016), article p.203601-3, Fig.2(a-d), especially final total (d), and adjacent ring/modulation discussion. These are 67 nm fixed-phase SFA anchors; genuine multi-CEP recalculation is a task-defined inference duty, not an existing source phase-map target.",
"He et al. (2016), article p.203601-3, Fig.2(f-i), especially 100 nm total (i), compared with 67 nm Fig.2(a-d); p.203601-2 states wavelength generality. Applying one diagnostic across genuine CEP recalculations is task-defined.",
"He et al. (2016), article pp.203601-3-4, Fig.3(a) and paragraphs defining angular integration and CEP dependence; pp.203601-2-3, Eq.(4), Fig.2(d,i). Fig.3(a) is a hydrogen 100 nm TDSE phase map: it motivates phase-sensitive inference but does not prescribe the different ADK/SFA diagnostic or its geometry.",
"He et al. (2016), article pp.203601-2-4, Eqs.(2)-(5), discussion distinguishing explanatory SFA from quantitative TDSE and Fig.4(a,b) noise examples. The positive stated model domain and risk-triggered validation are task/evaluation duties; neither TDSE nor these particular noise controls is compulsory."
]
}
]
}