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

Journal Article · Fri Oct 15 00:00:00 EDT 2010 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.82.043632· OSTI ID:21456992

Szigeti, S S; Hush, M R; Carvalho, A R. R.; Hope, J J ^[1]

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1. Australian Centre for Quantum-Atom Optics, Department of Quantum Science, Research School of Physics and Engineering, The Australian National University, ACT 0200 (Australia)

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.

• OSTI ID: 21456992
• Journal Information: Physical Review. A, Vol. 82, Issue 4; Other Information: DOI: 10.1103/PhysRevA.82.043632; (c) 2010 The American Physical Society; ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
APPROXIMATIONS
ATOMS
BOSE-EINSTEIN CONDENSATION
CONTROL
DENSITY
FEEDBACK
FLUCTUATIONS
INTERATOMIC FORCES
LASER RADIATION
LINE WIDTHS
MEAN-FIELD THEORY
NONLINEAR PROBLEMS
NUMERICAL ANALYSIS
CALCULATION METHODS
ELECTROMAGNETIC RADIATION
MATHEMATICS
PHYSICAL PROPERTIES
RADIATIONS
VARIATIONS