Dynamical density-density correlations in the one-dimensional Bose gas

TL;DR

This paper calculates the zero-temperature dynamical structure factor of the 1D Bose gas with delta interaction using a hybrid Bethe Ansatz method, bridging weak and strong coupling regimes, and provides results accessible to experiments.

Contribution

It introduces a hybrid theoretical/numerical approach to compute the dynamical structure factor across different interaction regimes in the Lieb-Liniger model.

Findings

Provides continuous interpolation between weak and strong coupling regimes.

Results are relevant for experimental Bragg spectroscopy.

Enhances understanding of density correlations in 1D Bose gases.

Abstract

The zero-temperature dynamical structure factor of the one-dimensional Bose gas with delta-function interaction (Lieb-Liniger model) is computed using a hybrid theoretical/numerical method based on the exact Bethe Ansatz solution, which allows to interpolate continuously between the weakly-coupled Thomas-Fermi and strongly-coupled Tonks-Girardeau regimes. The results should be experimentally accessible with Bragg spectroscopy.