Structured-Drive Control of Ground-State Cooling Reproducibility in a Quantum Optomechanical Cascade: From Resolved Sideband Proxy Screening to Quasi Static Lyapunov Validation

This archive contains the frozen v9a/v9b pre-registered simulation package for “Structured-Drive Control of Ground-State Cooling Reproducibility in a Quantum Optomechanical Cascade: From Resolved-Sideband Proxy Screening to Quasi-Static Lyapunov Validation.” The work reports a two-stage quantum Langevin simulation study of constraint-induced identity locking (CIIL) in a Teufel-parameterized optomechanical cascade. Version 9a tests a resolved-sideband proxy observable, written as E_N_out_approx, as a monotone diagnostic screen of the V→L→M cascade. Version 9b replaces that proxy with the physically primary quasi-static Lyapunov cooling observables n_m_ss and cooling depth CD. Both versions were pre-registered before execution and each passed six pre-registered predictions across 210 coupled simulation runs with zero logged failures. The archive includes the v9a and v9b source code, preregistration JSON files, manifests, scalar result JSON files, summary TSV files, time-series NPZ archives, generated figures, and failure reports. The v9a preregistration SHA-256 is 2f63bb451787838ad5a9dd67395b693c48ebf54ec7f7c946ebb8e27cf6b0cd77. The v9b preregistration SHA-256 is 541fd80d5348139037d63e0e84df19fb25b5b37a87a4e1320cdb89bc17fb8236. The archive supports the manuscript’s central claim that, at matched RMS drive power, drive waveform structure controls the reproducibility of ground-state cooling through a V→L→M optomechanical cascade. The v9a proxy is retained only as a diagnostic screen and is not claimed as direct evidence of output field two mode entanglement. The v9b results establish a quasi-static Lyapunov ground-state cooling claim under the frozen simulation model. Full time-dependent covariance validation and V_2mode output field covariance reconstruction are reserved for future v9c work.