论文标题
圆环上的量子气
Quantum gases on a torus
论文作者
论文摘要
该手稿旨在研究限制在圆环的量子气体的热力学特性。为此,我们考虑\ textIt {非互操作}气体内部的气体。在这种情况下,考虑到费莫因和玻色子,并以分析和数值方式正确地提供了计算。特别是,该系统对所考虑的拓扑参数很敏感:绕组数。此外,我们还得出一个模型,以考虑\ textit {互动}量子气。为了证实我们的结果,我们针对两种不同的情况实施了这种方法:环和圆环。
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.