On the theory of superfluidity

TL;DR

This paper explores the dispersion spectra of one-dimensional periodic Bose systems, revealing how superfluidity arises from Bose exchange symmetry and extends these insights to higher dimensions.

Contribution

It provides a theoretical explanation for superfluidity as a consequence of Bose exchange symmetry and analyzes the dispersion spectra in various dimensions.

Findings

Metastable supercurrent states exist at local minima of dispersion spectra.

Energy barriers between minima are explained by Bose exchange symmetry.

Superfluidity can be understood as a Bose exchange effect.

Abstract

We investigate the properties of dispersion spectra of one-dimensional periodic Bose systems with repulsive interparticle interactions. These systems with sufficient large interactions can support metastable supercurrent states, which correspond to the local minima of the dispersion spectra at non-zero momenta. The existence of local minima in the spectra and the energy barriers, which separate the minima, can be explained in terms of Bose exchange symmetry. We extend our study to the case of higher dimensional Bose systems. We suggest that superfluidity could be understood as a Bose exchange effect.