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Decoherence Dynamics in Low-Dimensional Cold Atom Interferometers

A. A. Burkov·M. D. Lukin·Eugene Demler
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Abstract

We report on a study of the dynamics of decoherence of a matter-wave interferometer, consisting of a pair of low-dimensional cold atom condensates at finite temperature. We identify two distinct regimes in the time dependence of the coherence factor of the interferometer: quantum and classical. Explicit analytical results are obtained in both regimes. In particular, in the two-dimensional (2D) case in the classical (long time) regime, we find that the dynamics of decoherence is universal, exhibiting a power-law decay with an exponent, proportional to the ratio of the temperature to the Kosterlitz-Thouless temperature of a single 2D condensate. In the one-dimensional (1D) case in the classical regime we find a universal nonanalytic time dependence of decoherence, which is a consequence of the nonhydrodynamic nature of damping in 1D liquids.

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A. A. Burkov, M. D. Lukin, Eugene Demler. 2007-05-18. Decoherence Dynamics in Low-Dimensional Cold Atom Interferometers. https://doi.org/10.1103/physrevlett.98.200404

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