PT Journal
AU Araujo Filho, AA
   Reis, JAAS
   Ghosh, S
TI Quantum gases on a torus
SO International Journal of Geometric Methods in Modern Physics
JI Int. J. Geom. Methods Mod. Phys.
PY 2023
BP 2350178 - 19pp
VL 20
IS 10
DI 10.1142/S0219887823501785
LA English
DE Thermodynamic properties; non-Cartesian geometries; grand canonical ensemble; noninteracting and interacting quantum gases; spinless; bosons and fermion particles
AB 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.
ER