Scientific Sources — Case06
References
Xiaoxia Wu, Linxuan Zhang, Shaofeng Zhang, and Difa Ye. 2021. Theory of dipole moment reconstruction by attosecond transient absorption spectroscopy. Physical Review A, 104, 063121. Source
Theory of dipole moment reconstruction by attosecond transient absorption spectroscopy
Criterion-to-source crosswalk
Article page identifiers below are journal pages, not PDF viewer indices. Supplemental pages are explicitly marked. The crosswalk distinguishes direct source facts, mathematical entailments and task-defined evidence duties. Original images and PDFs are referenced only; none are reproduced.
| Criteria | Source locations, scientific use and limits |
|---|---|
| F1 | Wu et al. (2021), article p.063121-3, Eq.(11) and coupling paragraph: three-level g-a-f topology, energy gaps and transition moments; coherent physical dipole follows the stated basis convention. |
| F2, M1 | Wu et al. (2021), article pp.063121-1-2, Eqs.(1)-(4), p.063121-3 Eq.(12) and p.063121-5 Appendix A Eqs.(A1)-(A5): absorption, even frequency extension and real causal response. |
| F3 | Wu et al. (2021), article p.063121-4, Fig.2 caption specifies 50 fs decoherence scale. Applying it to the real dipole after propagation and using no extra Fourier window are explicit task conventions, not an added Hamiltonian relaxation law. |
| O1, I1, M5 | Wu et al. (2021), article p.063121-4, Fig.3(b), caption and adjacent onset/long-time discussion: 100 as direct and convolved dipoles versus impulse response. |
| O2, I2, M6 | Wu et al. (2021), article p.063121-4, Fig.2(b,c) for the 300 as case and Fig.3(c): persistent long-time direct/reconstructed agreement; record-truncation rejection follows the task numerical-evidence boundary. |
| O3, I3 | Wu et al. (2021), article p.063121-4, Fig.3(d): 500 as finite-probe difference from impulse response, including late-time structure; full convolution remains faithful. |
| O4, I4, M2, M3 | Wu et al. (2021), article pp.063121-2-4, Eqs.(2),(7),(10), Fig.3(b-d): finite waveform convolution differs from the impulse response and the distinction grows with probe duration. Eq.(7) is an explanatory approximation, not a substitute for the stated reconstruction. |
| M4, M7, V1, V2 | Wu et al. (2021), article pp.063121-4-5, Fig.4, Eq.(13) and Sec.IV: linear-response/probe-duration fidelity boundary. Actual long-record evidence, processing safeguards and triggered alternative tests are task-defined; no exact correlation value is required. |
Formula and convention notes
The reconstruction formulas correspond to article pp.063121-2-3, Eqs.(2)-(4),(11),(12). With the source symmetric Fourier convention $\widetilde f=(2\pi)^{-1/2}\int f(t)e^{-i\omega t}dt$, the real-dipole identity requires $\widetilde d(-\omega)=\widetilde d(\omega)^*$ and the physical continuation $\sigma(-\omega)=\sigma(\omega)$. The causal inverse transform is retained only for $t>0$ before folding with the finite probe. A global convention change is accepted only when absorption sign, time direction, phases and normalization transform consistently. The 50 fs task decay is post-propagation readout processing, not a relaxation term in Eq.(11).
Scope of the source anchors
The locators identify scientific objects and mechanisms, not compulsory figure layouts, solver settings, exact grids, pointwise tolerances or a fixed evidence package. Canonical examples may be replaced by functionally equivalent evidence subject to the rubric. Source readback verifies the candidate's science; it cannot supply missing candidate presentation, identification or inference. Reporting, applicability/N/A and descriptive Research Closure duties remain those stated in the rubric and task.