C087 - Fig. (liouvillian_gap): the Liouvillian gap as a function of Omega_C and sin^2(gamma) kap...
Verdict: partial
Location: Supp. Mat. S6, Fig.
Type / expected artifact: plot / figure (liouvillian_gap_with_beta.png)
Claim: Fig. (liouvillian_gap): the Liouvillian gap as a function of Omega_C and sin^2(gamma) kappa^opt, where kappa^opt is the optimal repump rate from a multivariate minimization over (Omega_C,gamma).
Models: extraction claude-opus-4-8; verification gpt-5; verification_chain claude-opus-4-8 -> gpt-5; verdict_chain partial -> partial.
Limitations: visual_match_only.
Source location(s): source/supp_content.tex:267-271 (Fig. liouvillian_gap).
Conclusion
Reproduced Fig liouvillian_gap_with_beta: gap vs Omega_C (0..10J) and sin^2(gamma)*kappa^opt (0..1.9J), kappa^opt = argmax_kappa gap. Vertical dark-red lobe near Omega_C~2J reproduced; global max gap=0.123J at Omega_C=1.87J, gamma=0.24pi, kappa^opt=2.59J, matching paper hotspot and the paper colorbar max (~12e-2 J). Note: paper colorbar max ~0.12J = full gap = 2x the text's R_t^opt=0.061J (cf C084/C085). Tier-A visual match (visual_score 0.85); no raw plot data and no digitization -> partial based on visual comparison. See plot_comparison.json.
Verification details
Executable rerun: run.py exited 0 in 88.565s; log verification/C087/attempts/R002/run.log.
Output excerpt:
wrote figure.png
global max gap = 0.1227 J at Omega_C=1.871J, sin^2(gamma)=0.478 (gamma=0.243pi), kappa^opt=2.593J
y-axis at optimum sin^2*kappa^opt = 1.240 J
gap range: 0.0017 .. 0.1227 J
Plot evidence:
Visual comparison notes: - Reproduced the Liouvillian-gap heatmap as a function of Omega_C (x, 0..10 J) and sin^2(gamma)kappa^opt (y, 0..1.9 J), with kappa^opt obtained by optimizing the gap over kappa for each (Omega_C, gamma); RdBu_r colormap and colorbar in units of 1e-2 J matching the paper. - Central hotspot reproduced: a vertical dark-red lobe centered near Omega_C ~ 2 J and y ~ 1.0-1.3 J, with peak gap ~ 0.123 J (12.3e-2 J), matching the paper's hotspot location and the paper's colorbar maximum (~12e-2 J). - Global maximum of the reproduced map: gap = 0.1227 J at Omega_C = 1.87 J, sin^2(gamma) = 0.478 (gamma = 0.243 pi), kappa^opt = 2.59 J; consistent with the C084 optimum parameters (paper: Omega_C=1.95J, kappa=2.58J, gamma=0.29pi). - A sparse white-speckle region appears at the top-left of the map where kappa^opt is weakly determined and the scattered-to-regular interpolation has no support; this is an artifact of the (Omega_C, sin^2kappa^opt) regridding and does not affect the central feature.
