C086 - Fig. (kappa_Rt): the convergence rate R_t versus repump rate kappa for two branching rati...
Verdict: partial
Location: Supp. Mat. S6, Fig.
Type / expected artifact: plot / figure (kappa_Rt_with_beta.pdf)
Claim: Fig. (kappa_Rt): the convergence rate R_t versus repump rate kappa for two branching ratios gamma, comparing the empirical Eq. (S18) (factor 2.4) with the numerical Liouvillian gap at Omega_C = 6 J.
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, paper_text_only_reimplementation.
Source location(s): source/supp_content.tex:244-249 (Fig. kappa_Rt).
Conclusion
Reproduced Fig kappa_Rt_with_beta: two panels sin^2(gamma)=0.40,0.99, log-log axes kappa 1e-2..1e4 J at Omega_C=6J, numerical Liouvillian gap (solid) vs empirical Eq S18 x2.4 (dashed). Curves overlap as in the paper; peak R_t ~0.052J (top), ~0.034J (bottom); median(emp/num)=1.10/0.94 over the formula-validity region. Tier-A visual match (visual_score 0.9); no raw data, no digitization -> capped at partial. See plot_comparison.json.
Verification details
Executable rerun: run.py exited 0 in 3.086s; log verification/C086/attempts/R002/run.log.
Output excerpt:
wrote figure.png
$\\sin^2\\gamma=0.40$: peak num R_t=0.0523J @kappa=5.79J ; median(emp/num|valid)=1.099
$\\sin^2\\gamma=0.99$: peak num R_t=0.0340J @kappa=3.52J ; median(emp/num|valid)=0.939
Plot evidence:
Visual comparison notes: - Reproduced both panels matching the paper: sin^2(gamma)=0.40 (top) and sin^2(gamma)=0.99 (bottom), log-log axes spanning kappa from 1e-2 to 1e4 J at Omega_C=6J. - Numerical Liouvillian gap (solid black) and empirical Eq. S18 with proportionality factor 2.4 (dashed orange) overlap closely across the full kappa range, reproducing the paper's tent-shaped curves. - Peak position and magnitude match: top panel peak R_t ~ 0.052 J near kappa ~ 5.8 J; bottom panel peak R_t ~ 0.034 J near kappa ~ 3.5 J; median(empirical/numerical) over the formula-validity region is 1.10 (top) and 0.94 (bottom). - Quantitative agreement of empirical vs numerical (diagnostic, not a digitized residual): median(empirical/numerical) over the formula-validity region is 1.10 (sin^2 gamma=0.40) and 0.94 (sin^2 gamma=0.99).
