Pair correlations in a finite-temperature 1D Bose gas

TL;DR

This paper calculates two-particle local correlations in a finite-temperature 1D Bose gas, providing exact numerical solutions and analytical approaches to classify physical regimes, with implications for atom lasers and fermionization.

Contribution

It offers the first comprehensive classification of physical regimes in a finite-temperature 1D Bose gas using exact and analytical methods.

Findings

Exact numerical solutions via Yang-Yang equations

Identification of regimes for atom laser coherence

Insights into finite-temperature fermionization

Abstract

We calculate the two-particle local correlation for an interacting 1D Bose gas at finite temperature and classify various physical regimes. We present the exact numerical solution by using the Yang-Yang equations and Hellmann-Feynman theorem and develop analytical approaches. Our results draw prospects for identifying the regimes of coherent output of an atom laser, and of finite-temperature ''fermionization'' through the measurement of the rates of two-body inelastic processes, such as photo-association.