Statistical properties of one dimensional attractive Bose gas

TL;DR

This paper investigates the statistical properties of a one-dimensional attractive Bose gas using classical field approximation and Monte Carlo methods, revealing phenomena like condensate depletion, fluctuations, and reduced coherence length.

Contribution

It is the first study to analyze the statistical properties of an attractive Bose gas in one dimension using these methods.

Findings

Condensate depletion increases with temperature

Observed fluctuations in the condensate

Reduced coherence length similar to quasicondensation

Abstract

Using classical field approximation we present the first study of statistical properties of one dimensional Bose gas with attractive interaction. The canonical probability distribution is generated with the help of a Monte Carlo method. This way we obtain not only the depletion of the condensate with growing temperature but also its fluctuations. The most important is our discovery of a reduced coherence length, the phenomenon observed earlier only for the repulsive gas, known as quasicondensation.