Interacting Bosons beyond the Gross-Pitaevskii Mean-Field

TL;DR

This paper investigates the ground-state properties of interacting bosons beyond mean-field approximation, focusing on strongly correlated one-dimensional charged boson systems using a Hartree-Fock type method.

Contribution

It applies a Hartree-Fock type approximation to analyze strongly correlated bosonic systems beyond the Gross-Pitaevskii mean-field in one dimension.

Findings

Behavior at strong coupling is characterized.

Method reveals effects of correlations and spatial localization.

Provides insights into nonideal bosonic systems.

Abstract

Systems consisting of cold interacting bosons show interesting collective phenomena such as Bose-Einstein condensation or superfluidity and are currently studied in condensed matter and atomic physics. Of particular interest are nonideal bosons which exhibit strong correlation and spatial localization effects. Here we analyse the ground-state of a two-dimensional Bose system with a Hartree-Fock type approximation that was first introduced by Romanovsky et al. [Phys. Rev. Lett. {\bf 93}, 230405 (2004)]. We apply this method to a one dimensional system of charged bosons and analyze the behaviour at strong coupling.