Optimal Conditions for Atomic Homodyne Detection on Bose-Einstein Condensates

Abstract

The dynamics of a two-mode Bose-Einstein condensate trapped in a double-well potential results approximately in an effective Rabi oscillation regime of exchange of population between both wells for sufficiently strong overlap between the modes functions. Facing this system as a temporal atomic beam splitter we show that this regime is optimal for a nondestructive atom-number measurement allowing an atomic homodyne detection, thus yielding indirect relative phase information about one of the two-mode condensates.

9 pages, 5 figures

References in corpus (1)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms

Cited by in corpus (7)

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• Detection of continuous variable entanglement without coherent local oscillators
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• Dynamics for partially coherent Bose-Einstein condensates in double wells
• Coherent state approach to the cross collisional effects in the population dynamics of a two-mode Bose-Einstein condensate
• Quantification of Continuous Variable Entanglement with only Two Types of Simple Measurements