# Microscopic Computational Model of a Superfluid

## TL;DR

This paper introduces a finite 1D microscopic model of a superfluid with interacting Bose particles and an impurity, demonstrating dissipationless impurity motion and analyzing excitation spectra through ground state structure.

## Contribution

It presents a novel finite 1D microscopic model of a superfluid with an impurity, combining semiclassical and quantum analyses to explore impurity dynamics and excitation spectra.

## Key findings

- Impurity exhibits dissipationless motion with increased effective mass.
- Excitation spectra can be derived from the ground state structure.
- Both semiclassical and quantum calculations agree on key properties.

## Abstract

A finite one-dimensional microscopic model of a superfulid is presented. The model consists of interacting Bose particles with an additional impurity particle confined to a ring. Both semiclassical and exact quantum calculations reveal dissipationless motion of impurity with increased effective mass due to its interaction with the excitations of Bose fluid. It is shown that both the excitation spectrum of Bose fluid and the excitation spectrum of impurity can be analyzed using the structure of the ground state of the system.