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arXiv · 1006.3461

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

Michael Keyl·Dirk-Michael Schlingemann·Zoltan Zimboras
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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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Michael Keyl, Dirk-Michael Schlingemann, Zoltan Zimboras. 2010-06-17. On the bosonic behavior of mean-field fluctuations in atomic ensembles. https://arxiv.org/abs/1006.3461

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