Ground state correlations in a trapped quasi one-dimensional Bose Gas

TL;DR

This paper reviews a non-equilibrium kinetic theory for trapped bosonic gases, extending the Gross-Pitaevskii equation to include quantum correlations, and demonstrates enhanced number squeezing at low densities through numerical simulations.

Contribution

It introduces a renormalized interaction framework incorporating quantum correlations into the kinetic theory of trapped Bose gases.

Findings

Strong suppression of density fluctuations at low densities

Enhanced number squeezing observed in simulations

Ground state quantum correlations characterized numerically

Abstract

We review the basic concepts of a non-equilibrium kinetic theory of a trapped bosonic gas. By extending the successful mean-field concept of the Gross-Pitaevskii equation with the effects of non-local, two particle quantum correlations, one obtains a renormalized binary interaction and allows for the dynamic establishment of non-classical many-particle quantum correlations. These concepts are illustrated by self-consistent numerical calculations of the first and second order ground state quantum correlations of a harmonically trapped, quasi one-dimensional bosonic gas. We do find a strong suppression of the density fluctuations or, in other words, an enhanced number squeezing with decreasing particle density.