| # Scientific Sources — Case17 |
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| ## References |
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| 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](https://doi.org/10.1103/PhysRevA.108.023521) |
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| Unconventional gap dependence of high-order harmonic generation in the extremely strong light-matter-coupling regime |
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| ## Criterion-to-source crosswalk |
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| 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. |
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| | Criteria | Source locations, scientific use and limits | |
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| | 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. | |
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| ## Formula and convention notes |
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| For F1/M1-M4, article p.023521-2, Eqs.(2)-(4), |
| $$\dot x=2i\Omega(t)(y-y^*)-\gamma_L(x-1),\quad |
| \dot y=-(i\Delta+\gamma_T)y+i\Omega(t)x,\quad p(t)=2\Re y(t),\quad (x,y)_{t_0}=(1,0).$$ |
| For F2/O3/M5-M6, article p.023521-7, Eqs.(A2)-(A4), |
| $$\dot f_k^{e/h}=2\Omega\sin\theta_k\Re P_k-\gamma_L f_k^{e/h},$$ |
| $$\dot P_k=-[i(\varepsilon_k^e+\varepsilon_k^h)+\gamma_T]P_k+\Omega\sin\theta_k(1-f_k^e-f_k^h),$$ |
| $$p(t)=\sum_k\{\cos\theta_k(1-f_k^e-f_k^h)-2\sin\theta_k\Im P_k\}.$$ |
| 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. |
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| ## Scope of the source anchors |
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| 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. |
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