Quantum gases on a torus
- URL: http://arxiv.org/abs/2209.08017v2
- Date: Mon, 24 Apr 2023 13:27:44 GMT
- Title: Quantum gases on a torus
- Authors: A. A. Ara\'ujo Filho, J. A. A. S. Reis, and Subir Ghosh
- Abstract summary: We study the thermodynamic properties of quantum gases confined to a torus.
Fermoins and bosons are taken into account and the calculations are properly provided in both analytical and numerical manners.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: This manuscript is aimed at studying the thermodynamic properties of quantum
gases confined to a torus. To do that, we consider \textit{noninteracting}
gases within the grand canonical ensemble formalism. In this context, fermoins
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
\textit{interacting} quantum gases. To corroborate our results, we implement
such a method for two different scenarios: a ring and a torus.
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