Local correlations in a strongly interacting 1D Bose gas

TL;DR

This paper introduces an analytical approach to compute local correlations in strongly interacting 1D Bose gases, aiding experimental identification of the Tonks-Girardeau regime.

Contribution

It provides a new analytical method based on the Lieb-Liniger model for calculating local correlations at various temperatures in 1D Bose gases.

Findings

Reduction of local correlations with increased interaction strength

Method applicable at zero and finite temperatures

Facilitates experimental detection of the Tonks-Girardeau regime

Abstract

We develop an analytical method for calculating local correlations in strongly interacting 1D Bose gases, based on the exactly solvable Lieb-Liniger model. The results are obtained at zero and finite temperatures. They describe the interaction-induced reduction of local many-body correlation functions and can be used for achieving and identifying the strong-coupling Tonks-Girardeau regime in experiments with cold Bose gases in the 1D regime.