Driven impurity in an ultracold 1D Bose gas with intermediate interaction strength

TL;DR

This paper presents an exact and perturbative approach to study a driven impurity in a 1D Bose gas with arbitrary interaction strength, providing insights consistent with recent experimental observations.

Contribution

It introduces a Lieb-Liniger based method that is exact in gas interactions and perturbative in impurity interactions, handling arbitrary interaction strengths.

Findings

Good agreement with recent experimental results

Handles arbitrary interaction strength in the Bose gas

Provides a new theoretical framework for impurity dynamics

Abstract

We study a single impurity driven by a constant force through a 1D Bose gas using a Lieb-Liniger based approach. Our calculaton is exact in the interaction amongst the particles in the Bose gas, and is perturbative in the interaction between the gas and the impurity. In contrast to previous studies of this problem, we are able to handle arbitrary interaction strength for the Bose gas. We find very good agreement with recent experiments [Phys. Rev. Lett. 103, 150601 (2009)].