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

S. S. Szigeti*, S. J. Adlong, M. R. Hush, A. R.R. Carvalho, J. J. Hope

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    19 Citations (Scopus)

    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.

    Original languageEnglish
    Article number013626
    JournalPhysical Review A - Atomic, Molecular, and Optical Physics
    Volume87
    Issue number1
    DOIs
    Publication statusPublished - 23 Jan 2013

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