Work

Quantum gases on a torus

Year: 2023

Type: article

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.

Source: International Journal of Geometric Methods in Modern Physics

DOI: 10.1142/s0219887823501785

Authors: A. A. Araújo Filho, J. A. A. S. Reis, Subir Ghosh

Institutions: Universitat de València, Universidade Federal do Ceará, Southwest Bahia State University, Universidade Federal do Maranhão, Indian Statistical Institute

Language: English

Topic: Statistical Mechanics and Entropy

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: Coordenação de Aperfeiçoamento de Pessoal de Nível Superior, Conselho Nacional de Desenvolvimento Científico e Tecnológico, Fundação de Amparo à Pesquisa e ao Desenvolvimento Científico e Tecnológico do Maranhão

Awards: G1360931169, G3376068040