TY  - JOUR
AU  - Araujo Filho, A. A.
AU  - Reis, J. A. A. S.
AU  - Ghosh, S.
PY  - 2023
DA  - 2023//
TI  - Quantum gases on a torus
T2  - Int. J. Geom. Methods Mod. Phys.
JO  - International Journal of Geometric Methods in Modern Physics
SP  - 2350178 - 19pp
VL  - 20
IS  - 10
PB  - World Scientific Publ Co Pte Ltd
KW  - Thermodynamic properties
KW  - non-Cartesian geometries
KW  - grand canonical ensemble
KW  - noninteracting and interacting quantum gases
KW  - spinless
KW  - 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.
SN  - 0219-8878
UR  - https://arxiv.org/abs/2209.08017
UR  - https://doi.org/10.1142/S0219887823501785
DO  - 10.1142/S0219887823501785
LA  - English
N1  - WOS:000988814200003
ID  - AraujoFilho_etal2023
ER  -