Quantum Impurity in a One-dimensional Trapped Bose Gas

TL;DR

This paper introduces a new theoretical approach to model an impurity in a one-dimensional trapped Bose gas, capable of handling various external confinements, mass ratios, and weak interactions, with validated results matching exact numerical calculations.

Contribution

The paper develops a versatile theoretical framework for impurity problems in 1D Bose gases, accommodating diverse experimental conditions and interactions.

Findings

Excellent agreement with exact numerical results for ground state energy.

Framework applicable to various trap geometries and interaction strengths.

Provides predictions for cold atomic gas experiments.

Abstract

We present a new theoretical framework for describing an impurity in a trapped Bose system in one spatial dimension. The theory handles any external confinement, arbitrary mass ratios, and a weak interaction may be included between the Bose particles. To demonstrate our technique, we calculate the ground state energy and properties of a sample system with eight bosons and find an excellent agreement with numerically exact results. Our theory can thus provide definite predictions for experiments in cold atomic gases.