Static impurities in a weakly-interacting Bose gas

TL;DR

This paper investigates the ground-state properties of dilute weakly-interacting Bose gases with static impurities in various dimensions, focusing on energy calculations for systems with one or two impurities.

Contribution

It provides a detailed analysis of how static impurities affect the ground-state energy of dilute Bose gases across different dimensions.

Findings

Calculated energies for Bose gases with impurities in 2D and 3D.

Analyzed effects of one and two static impurities on system properties.

Provided theoretical framework for impurity interactions in dilute Bose gases.

Abstract

We present a comprehensive discussion of the ground-state properties of dilute $D$-dimensional Bose gas interacting with a few static impurities. Assuming the short-ranged character of the boson-impurity interaction, we calculate the energy of three- and two-dimensional Bose systems with one and two impurities immersed.