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Robustness of system-filter separation for the feedback control of a quantum harmonic oscillator undergoing continuous position measurement

2012/11/13 by Stuart S. Szigeti, Sarah J. Adlong, S. J. Adlong +6
Computer Science · Mathematics · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Computer science #Context (archaeology) #Control (management) #Control theory (sociology) #Estimator #Filter (signal processing) #Harmonic oscillator #Inefficiency #Mathematics #Physics #Position (finance) #Quantum Information and Cryptography #Quantum mechanics #Robustness (evolution) #Statistical physics #Statistics #Strong Light-Matter Interactions #physics.atom-ph #quant-ph

paper · pdf · doi:10.1103/physreva.87.013626

published as Phys. Rev. A 87, 013626 (2013) · 14 pages, 8 figures

arxiv created 2012/11/13 · openalex publication_date 2013/01/23 · arxiv updated 2013/02/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We consider the effects of experimental imperfections on the problem of estimation-based feedback control of a trapped particle undergoing continuous position measurement. These limitations violate the assumption that the estimator (i.e., filter) accurately models the underlying system, thus requiring a separate analysis of the system and filter dynamics. We quantify the parameter regimes for stable cooling and show that the control scheme is robust to detector inefficiency, time delay, technical noise, and miscalibrated parameters. We apply these results to the specific context of a weakly-interacting Bose-Einstein condensate (BEC). Given that this system has previously been shown to be less stable than a feedback-cooled BEC with strong interatomic interactions, this result shows that reasonable experimental imperfections do not limit the feasibility of cooling a BEC by continuous measurement and feedback.

Citations