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Generation of a maximally entangled state using collective optical pumping

verification/C010/attempts/R002/claim_report.md

C010 - Drive (A) uses a bichromatic 729 nm field with two components detuned by delta = +/- 2 pi...

Verdict: partial Location: Experiment Type / expected artifact: numeric / numeric Claim: Drive (A) uses a bichromatic 729 nm field with two components detuned by delta = +/- 2 pi x 14.7 kHz from the red and blue motional sidebands of |down><->|e>, using the axial stretch mode at omega_m ~= 2 pi x 2.4 MHz with Lamb-Dicke parameter eta = 0.026. 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:115 (Experiment).

Conclusion

Paper: eta=0.026 for axial stretch mode omega_m=2pi2.4MHz, 729nm 40Ca+. Lamb-Dicke eta=k sqrt(hbar/(2 m_eff omega)) gives 0.0626 (single-ion mass m) or 0.0442 (stretch effective mass 2m), both with laser along axis. To match 0.026 requires a beam-axis projection cos(theta)~0.42 (single) or ~0.59 (stretch) — a geometry assumption from the setup not fixed by the claim's own quantities. delta=2pi14.7kHz consistent (t=2*2pi/delta=136us). Internally consistent only via an unstated projection -> partial.

Verification details

Executable rerun: run.py exited 0 in 0.489s; log verification/C010/attempts/R002/run.log.

Output excerpt:

k = 8.6189e+06 1/m, m = 6.6359e-26 kg, omega = 1.5080e+07 rad/s
eta_single  (cos=1, mass m)  = 0.06256
eta_stretch (cos=1, mass 2m) = 0.04424
  single: ratio to paper 0.026 = 2.406, implied cos(theta) to match = 0.416
  stretch: ratio to paper 0.026 = 1.702, implied cos(theta) to match = 0.588
delta = 2pi*14.7kHz; t(n=2) = 2*2pi/delta = 136.1 us

Supporting files