Feedback control of an interacting Bose-Einstein condensate using phase-contrast imaging

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

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    Abstract

    The linewidth of an atom laser is limited by density fluctuations in the Bose-Einstein condensate (BEC) from which the atom laser beam is outcoupled. In this paper we show that a stable spatial mode for an interacting BEC can be generated using a realistic control scheme that includes the effects of the measurement backaction. This model extends the feedback theory, based on a phase-contrast imaging setup, presented by Szigeti, Hush, Carvalho, and Hope [Phys. Rev. APLRAAN1050-294710.1103/PhysRevA.80.013614 80, 013614 (2009)]. In particular, it is applicable to a BEC with large interatomic interactions and solves the problem of inadequacy of the mean-field (coherent state) approximation by utilizing a fixed number state approximation. Our numerical analysis shows the control to be more effective for a condensate with a large nonlinearity.

    Original languageEnglish
    Article number043632
    JournalPhysical Review A - Atomic, Molecular, and Optical Physics
    Volume82
    Issue number4
    DOIs
    Publication statusPublished - 29 Oct 2010

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