Quantum gases on a torus
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , , |
|---|---|
| Format: | Preprint |
| Publié: |
2022
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866911909366726656 |
|---|---|
| author | Filho, A. A. Araújo Reis, J. A. A. S. Ghosh, Subir |
| author_facet | Filho, A. A. Araújo Reis, J. A. A. S. Ghosh, Subir |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2209_08017 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Quantum gases on a torus Filho, A. A. Araújo Reis, J. A. A. S. Ghosh, Subir Quantum Physics Quantum Gases Statistical Mechanics High Energy Physics - Theory Applied Physics 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. |
| title | Quantum gases on a torus |
| topic | Quantum Physics Quantum Gases Statistical Mechanics High Energy Physics - Theory Applied Physics |
| url | https://arxiv.org/abs/2209.08017 |