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Generation of a maximally entangled state using collective optical pumping

verification/C009/attempts/R002/claim_report.md

C009 - The qubit Zeeman sublevels |down>=|S1/2,mj=-1/2> and |up>=|S1/2,mj=+1/2> have a frequency...

Verdict: verified Location: Experiment Type / expected artifact: numeric / numeric Claim: The qubit Zeeman sublevels |down>=|S1/2,mj=-1/2> and |up>=|S1/2,mj=+1/2> have a frequency splitting of 2 pi x 16.5 MHz in the applied magnetic field of 0.59 mT. Models: extraction claude-opus-4-8; verification gpt-5; verification_chain claude-opus-4-8 -> gpt-5; verdict_chain verified -> verified. Source location(s): source/main.tex:113 (Experiment).

Conclusion

Paper: 2pi*16.5 MHz at B=0.59 mT. Pure arithmetic identity f=g_J mu_B B/h with g_J=2 (S1/2) gives 16.516 MHz (16.534 with g=2.00226). Relative error 0.09% vs 16.5 MHz, well within the 1% tolerance set by the paper's 3-sig-fig quote. Fully determined by stated B and known constants -> verified.

Verification details

Executable rerun: run.py exited 0 in 0.5s; log verification/C009/attempts/R002/run.log.

Output excerpt:

mu_B = 9.274010e-24 J/T, h = 6.626070e-34 J s
computed splitting (g_J=2)      = 16.5156 MHz
computed splitting (g_J=2.00226) = 16.5342 MHz
paper value                      = 16.5000 MHz
relative error (g_J=2) = 0.094%

Supporting files