Dynamic structure factor and drag force in a one-dimensional strongly-interacting Bose gas at finite temperature

TL;DR

This paper investigates the dynamical response of a one-dimensional strongly-interacting Bose gas at finite temperature, combining theoretical models to analyze the structure factor and drag force experienced by a moving potential barrier.

Contribution

It introduces a combined approach using Luttinger liquid theory and Bose-Fermi mapping to analyze finite-temperature effects in strongly-interacting 1D Bose gases.

Findings

Derived the dynamic structure factor at finite temperature.

Calculated the drag force on a moving potential barrier.

Provided insights into thermal and quantum fluctuation effects.

Abstract

We study the effect of thermal and quantum fluctuations on the dynamical response of a one-dimensional strongly-interacting Bose gas in a tight atomic waveguide. We combine the Luttinger liquid theory at arbitrary interactions and the exact Bose-Fermi mapping in the Tonks-Girardeau-impenetrable-boson limit to obtain the dynamic structure factor of the strongly-interacting fluid at finite temperature. Then, we determine the drag force felt by a potential barrier moving along the fluid in the experimentally realistic situation of finite barrier width and temperature.