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Generation of a maximally entangled state using collective optical pumping

verification/C007/attempts/R002/claim_report.md

C007 - The most rapid convergence is found for Phi = pi/4, theta ~= 0.72 pi and gamma ~= 0.22 pi...

Verdict: partial Location: Dissipation scheme; Supp. Mat. S1 Type / expected artifact: numeric / math / numeric Claim: The most rapid convergence is found for Phi = pi/4, theta ~= 0.72 pi and gamma ~= 0.22 pi, where N_0 = 7.62 cycles. Models: extraction claude-opus-4-8; verification gpt-5; verification_chain claude-opus-4-8 -> gpt-5; verdict_chain partial -> partial. Limitations: paper_text_only_reimplementation. Source location(s): source/main.tex:108 (Dissipation scheme); source/supp_content.tex:27 (Supp. Mat. S1).

Conclusion

Minimized lambda_max of S(pi/4,gamma,theta) over (theta,gamma). Coarse grid + Nelder-Mead optimum: theta=0.716pi, gamma=0.221pi, lambda_max=0.876964, N0=-1/log(lambda_max)=7.617. Paper: theta~0.72pi, gamma~0.22pi, N0=7.62. Match within <0.5% on all three; tolerance |dtheta/pi|,|dgamma/pi|<0.01 and |dN0|<0.05 satisfied. Physical model reimplemented from paper text (no paper-provided code/data), so capped at partial.

Verification details

Executable rerun: run.py exited 0 in 1.353s; log verification/C007/attempts/R002/run.log.

Output excerpt:

coarse grid min: lambda_max=0.87698 at theta=0.720pi gamma=0.220pi
refined optimum:
  theta_opt = 0.7161 pi   (paper 0.72 pi)
  gamma_opt = 0.2212 pi   (paper 0.22 pi)
  lambda_max = 0.876964
  N0 = -1/log(lambda_max) = 7.6168   (paper 7.62)
match to paper (theta~0.72pi, gamma~0.22pi, N0~7.62): True
PASS

Supporting files