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

TL;DR

This paper demonstrates that mean-field fluctuations in large atomic ensembles can induce bosonic states, including non-Gaussian ones, under broad conditions such as exponential decay of correlations.

Contribution

It extends previous results by showing that even non-Gaussian states can be induced, broadening the understanding of bosonic behavior in atomic ensembles with decaying correlations.

Findings

Mean-field fluctuations induce bosonic states in atomic ensembles.

Non-Gaussian states can also be induced under certain conditions.

Results apply to general lattice structures with decay of correlations.

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.