Quantum gases on a torus

Article Type

Research Article

Publication Title

International Journal of Geometric Methods in Modern Physics

Abstract

This paper is aimed at studying the thermodynamic properties of quantum gases confined to a torus. To do that, we consider noninteracting gases within the grand canonical ensemble formalism. In this context, fermions and bosons are taken into account and the calculations are properly provided in both analytical and numerical manners. In particular, the system turns out to be sensitive to the topological parameter under consideration: the winding number. Furthermore, we also derive a model in order to take into account interacting quantum gases. To corroborate our results, we implement such a method for two different scenarios: a ring and a torus.

DOI

https://10.1142/S0219887823501785

Publication Date

9-15-2023

Comments

Open Access, Green

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