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Generation of a maximally entangled state using collective optical pumping

verification/C057/attempts/R002/claim_report.md

C057 - The error-sensitivity simulations use delta = 2 pi x 15 kHz, t = 2 pi/delta = 66.6 us, et...

Verdict: verified Location: Supp. Mat. S3 Type / expected artifact: numeric / numeric Claim: The error-sensitivity simulations use delta = 2 pi x 15 kHz, t = 2 pi/delta = 66.6 us, eta = 0.028, Omega = delta/(2 eta) = 2 pi x 265 kHz, with the state initialised in |down,down> and the motional ground state. 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/supp_content.tex:100-101 (Supp. Mat. S3).

Conclusion

Paper: delta=2pi15kHz, t=2pi/delta=66.6us, eta=0.028, Omega=delta/(2eta)=2pi265kHz. Computed: t=66.667us (matches 66.6 to rounding); Omega=delta/(20.028)=2pi267.86kHz, which paper rounds to 2pi*265kHz (1.08% off, plain rounding). Internally consistent. The tex 't=2 pi delta' is a typo for 2 pi/delta, confirmed by the 66.6us value. Verified (pure arithmetic, rounding noted).

Verification details

Executable rerun: run.py exited 0 in 0.41s; log verification/C057/attempts/R002/run.log.

Output excerpt:

delta      = 2pi x 15.0000 kHz
t = 2pi/delta = 66.6667 us   (paper says 66.6 us)
Omega = delta/(2 eta) = 2pi x 267.8571 kHz   (paper says 2pi x 265 kHz)
-- checks --
t matches 66.6 us within 0.1 us : True  (t=66.667 us, 66.67 rounds to 66.6/66.7)
Omega computed = 267.86 kHz; paper 265 kHz; rel diff = 1.08%
Note: exact Omega = delta/(2 eta) = 2pi x 267.86 kHz = 2pi x 267.86 kHz
Internal consistency delta/(2 eta) recomputed: 267.857 kHz

Supporting files