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

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...

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Bibliographic Details
Published in:Physical review. A, Atomic, molecular, and optical physics Atomic, molecular, and optical physics, 2010-10, Vol.82 (4), Article 043632
Main Authors: Szigeti, S. S., Hush, M. R., Carvalho, A. R. R., Hope, J. J.
Format: Article
Language:English
Subjects:
APPROXIMATIONS
ATOMIC AND MOLECULAR PHYSICS
ATOMS
BOSE-EINSTEIN CONDENSATION
CALCULATION METHODS
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
CONTROL
DENSITY
ELECTROMAGNETIC RADIATION
FEEDBACK
FLUCTUATIONS
INTERATOMIC FORCES
LASER RADIATION
LINE WIDTHS
MATHEMATICS
MEAN-FIELD THEORY
NONLINEAR PROBLEMS
NUMERICAL ANALYSIS
PHYSICAL PROPERTIES
RADIATIONS
VARIATIONS
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Summary: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. A 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.
ISSN:1050-2947
1094-1622
DOI:10.1103/PhysRevA.82.043632