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On the bosonic behavior of mean-field fluctuations in atomic ensembles

2010/06/17 by Michael Keyl, Keyl, Michael, Dirk-Michael Schlingemann +3
Physics and Astronomy · Computer Science · #Cold Atom Physics and Bose-Einstein Condensates #Quantum optics and atomic interactions #Quantum Information and Cryptography

paper · pdf · doi:10.48550/arxiv.1006.3461

Abstract

The mean field fluctuations of large atomic ensembles can behave like bosonic modes, i.e. they induce a state on an appropriate system of bosonic modes. The most prominent example is that, if the atomic ensemble is in a homogenous product state, then the mean-field fluctuations are inducing a Gaussian state on a system of bosonic modes. In the present paper we show that for atomic ensemble states with exponentially decaying correlations (e.g. with respect to the distance of atoms) the mean-field fluctuations are inducing (possibly non-Gaussian) states on the on a system of bosonic modes. This result is true for a general lattice of atomic systems that is equipped with a reasonable distance function.

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