%0 Journal Article
%T Quantum gases on a torus
%A Araujo Filho, A. A.
%A Reis, J. A. A. S.
%A Ghosh, S.
%J International Journal of Geometric Methods in Modern Physics
%D 2023
%V 20
%N 10
%I World Scientific Publ Co Pte Ltd
%@ 0219-8878
%G English
%F AraujoFilho_etal2023
%O WOS:000988814200003
%O exported from refbase (https://references.ific.uv.es/refbase/show.php?record=5553), last updated on Sat, 12 Aug 2023 15:35:28 +0000
%X 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.
%K Thermodynamic properties
%K non-Cartesian geometries
%K grand canonical ensemble
%K noninteracting and interacting quantum gases
%K spinless
%K bosons and fermion particles
%R 10.1142/S0219887823501785
%U https://arxiv.org/abs/2209.08017
%U https://doi.org/10.1142/S0219887823501785
%P 2350178 - 19pp