[2209.08017] Quantum gas on the torus

[Submitted on 16 Sep 2022]

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Overview: This manuscript aims to study the thermodynamic properties of a quantum gas confined in a torus. To that end, we consider \textit{noninteracting} gases in the canonical ensemble form. In this context, fermoines and bosons are considered and computations are adequately provided in analytical and numerical methods. In particular, the system turned out to be sensitive to the number of turns, the topology parameter under consideration. We also derive a model to take into account the \textit{interacting} quantum gas. To corroborate the results, we implement such a method for his two different scenarios of rings and torus.