Full HTML report

Generation of a maximally entangled state using collective optical pumping

verification/C084/attempts/R002/claim_report.md

C084 - The optimal continuous convergence rate is R_t^opt = 6.1e-2 J at Omega_C = 1.95 J, kappa...

Verdict: partial (mismatch) Location: Supp. Mat. S6; Fig. liouvillian_gap Type / expected artifact: numeric / numeric Claim: The optimal continuous convergence rate is R_t^opt = 6.1e-2 J at Omega_C = 1.95 J, kappa = 2.58 J, gamma = 0.29 pi. 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/supp_content.tex:274 (Supp. Mat. S6).

Conclusion

Numerical Liouvillian-gap optimization over (Omega_C,kappa,gamma), beta=J. Optimal PARAMETERS match the paper: Omega_C^opt=1.95J (paper 1.95J), kappa^opt=2.58J (paper 2.58J), gamma^opt=0.24pi (paper 0.29pi; gap broad in gamma). Optimal RATE: computed gap = 0.122-0.123 J, about 2x the paper's printed R_t^opt=6.1e-2 J. The factor of 2 is a rate-convention/typo issue: the paper's own J=0.58kHz->72Hz conversion (C085) requires R_t/J=0.124, i.e. the FULL gap 0.122 J, not 0.061 J. mismatch on the printed value; parameters and physics verified.

Verification details

Derivation excerpt: Maximising the numerical Liouvillian gap over $(\Omega_C,\kappa,\gamma)$ at $\beta=J$, in units of $J$ (coarse grid + Nelder-Mead refine):

Executable rerun: run.py exited 0 in 17.429s; log verification/C084/attempts/R002/run.log.

Output excerpt:

R_t at paper stated optimum (1.95J,2.58J,0.29pi): 0.11424 J
grid best: R_t=0.12174 J at Omega_C=1.804J kappa=2.457J gamma=0.2500pi
refined optimum: R_t=0.12292 J at Omega_C=1.9482J kappa=2.5808J gamma=0.2410pi (0.2410pi mod)
gamma mod pi/2 = 0.2410pi, sin^2(gamma)=0.4717

Supporting files