Round 2 verification audit for C079

Model: gpt-5

Claim: The repump (B) is modelled by Markovian jump operators L_{e->down}^{(k)} = sqrt(p_{e->down} kappa)|down>up}^{(k)} = sqrt(p_{e->up} kappa)|up>down}/p_{e->up} = tan^2(gamma).

Source alignment: source/supp_content.tex:174-183 (Eq. (S10))

Prior official verdict: verified with failure_reason None.

Executable evidence: sympy_check.py. Sandbox rerun logs: sympy_check.log.

Independent audit: I scanned the copied script for imports/shared helper dependencies and reran it through the sandbox. The code is self-contained in this attempt directory and targets the claim strategy: Confirm the jump operators implement single-ion decay from |e> with the stated branching and total rate kappa.. I checked the relevant family model rather than relying only on exit status; the rerun is treated as one reproducibility input.

Decision: Round 2 verdict is verified with failure_reason None and limitations []. Notes: Jump operators L_{e->dn}=sqrt(p_dn kappa)|dn>up}=sqrt(p_up kappa)|up> (single-ion decay), total rate out of |e> = (p_dn+p_up)kappa = kappa (since sin^2+cos^2=1), and branching p_dn/p_up = sin^2/cos^2 = tan^2(gamma). All three properties of Eq S10 hold exactly. Conclusion: verified.