cases/case17/sources.md

Scientific Sources — Case17

References

Akira Kofuji and Robert Peters. 2023. Unconventional gap dependence of high-order harmonic generation in the extremely strong light-matter-coupling regime. Physical Review A, 108, 023521. Source

Unconventional gap dependence of high-order harmonic generation in the extremely strong light-matter-coupling regime

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	Kofuji and Peters (2023), article p.023521-2, Eqs.(1)-(5): driven TLS Hamiltonian, population difference x, complex coherence y, distinct longitudinal/transverse damping and p=y+y*.
F2	Kofuji and Peters (2023), article p.023521-7, Appendix Eqs.(A1)-(A4): semiconductor Nambu Hamiltonian, electron/hole occupations, complex Pk and drive-conjugate macroscopic polarization. Printed yk in Eq.(A4) denotes the propagated Pk, not an extra variable.
F3, F4	Kofuji and Peters (2023), article pp.023521-2-4, Eq.(4), Figs.1-3 and Eqs.(8),(9); Appendix p.023521-7 Fig.8: polarization-spectrum fifth-harmonic and optional time-local diagnostic. Reconstructible estimators and common scaling are task-defined; no fixed record/window is compulsory.
O1, I1	Kofuji and Peters (2023), article pp.023521-3-4, Figs.2-3 and Sec.III.A: strong-drive gap-increase domain, joint gap/drive organization and fixed-drive turnover. Ridge near Omega0/Delta=6 and maximum near Delta=4 are illustrative, not exact coordinates.
O2, I2, M1, M2, M3, M4	Kofuji and Peters (2023), article pp.023521-4-5, Figs.4-5, Eqs.(2)-(4),(8),(9): small-gap rapid excitation/early saturation and wing emission; intermediate sustained central polarization; large-gap slow pulse-centred excitation, linking time dynamics to nonmonotonic integrated response.
O3, I3, M5, M6	Kofuji and Peters (2023), article pp.023521-7-8, Appendix Eqs.(A1)-(A4), Figs.9-10 and dispersion discussion: semiconductor transfer of gap-drive organization with momentum aggregation, not generic model equivalence.
O4	Kofuji and Peters (2023), article pp.023521-5-6, Sec.III.B and Fig.6: relaxation smooths response but does not generate unconventional gap dependence. This is an optional canonical discriminator; task accepts another genuinely capable alternative test or dual-purpose evidence.
M7, V1, V2	Kofuji and Peters (2023), article pp.023521-2,6-8, TLS omissions, Sec.IV and Appendix scope: limited transfer with dispersion and momentum-dependent coupling. Synthesis and triggered sampling/normalization/relaxation controls are task duties, not a required universal-scaling study.

Formula and convention notes

For F1/M1-M4, article p.023521-2, Eqs.(2)-(4), $$\dot{x}=2i\mathrm{\Omega }(t)(y-y^{\ast })-{\gamma }_L(x-1),\dot{y}=-(i\mathrm{\Delta }+{\gamma }_T)y+i\mathrm{\Omega }(t)x,p(t)=2\mathrm{\Re }y(t),(x,y{)}_{t_0}=(1,0)\mathrm{.}\backslash dot\; x=2i\backslash Omega(t)(y-y^*)-\backslash gamma\_L(x-1),\backslash quad\; \backslash dot\; y=-(i\backslash Delta+\backslash gamma\_T)y+i\backslash Omega(t)x,\backslash quad\; p(t)=2\backslash Re\; y(t),\backslash quad\; (x,y)\_\{t\_0\}=(1,0).$$ For F2/O3/M5-M6, article p.023521-7, Eqs.(A2)-(A4), $${\dot{f}}_k^{e\mathrm{/}h}=2\mathrm{\Omega }\sin {\theta }_k\mathrm{\Re }{P}_k-{\gamma }_L{f}_k^{e\mathrm{/}h},\backslash dot\; f\_k^\{e/h\}=2\backslash Omega\backslash sin\backslash theta\_k\backslash Re\; P\_k-\backslash gamma\_L\; f\_k^\{e/h\},$$ $${\dot{P}}_k=-[i({\epsilon }_k^e+{\epsilon }_k^h)+{\gamma }_T]P_k+\mathrm{\Omega }\sin {\theta }_k(1-f_k^e-f_k^h),\backslash dot\; P\_k=-[i(\backslash varepsilon\_k^e+\backslash varepsilon\_k^h)+\backslash gamma\_T]P\_k+\backslash Omega\backslash sin\backslash theta\_k(1-f\_k^e-f\_k^h),$$ $$p(t)=\sum _k\{\cos {\theta }_k(1-f_k^e-f_k^h)-2\sin {\theta }_k\mathrm{\Im }{P}_k\}\mathrm{.}p(t)=\backslash sum\_k\backslash \{\backslash cos\backslash theta\_k(1-f\_k^e-f\_k^h)-2\backslash sin\backslash theta\_k\backslash Im\; P\_k\backslash \}.$$ Here $\varepsilon_k^{e/h}=E_k^{e/h}+\Omega\cos\theta_k$. The printed yk in Eq.(A4) is the same propagated Pk. Both branches grade $|\widetilde p(5\omega_0)|^2$ or an explicitly equivalent narrow-bin estimator under one consistent scale, not a derivative spectrum without conversion or independently normalized map slices.

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.