Bose-Einstein condensation on quantum graphs
| Autor: | Bolte, Jens, Kerner, Joachim |
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| Rok vydání: | 2014 |
| Předmět: | |
| Zdroj: | Mathematical results in quantum mechanics, World Sci. Publ., Hackensack, NJ, 2015 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1142/9789814618144_0016 |
| Popis: | We present results on Bose-Einstein condensation (BEC) on general compact quantum graphs, i.e., one-dimensional systems with a (potentially) complex topology. We first investigate non-interacting many-particle systems and provide a complete classification of systems that exhibit condensation. We then consider models with interactions that consist of a singular part as well as a hardcore part. In this way we obtain generalisations of the Tonks-Girardeau gas to graphs. For this we find an absence of phase transitions which then indicates an absence of BEC. Comment: 5 pages, contribution to the proceedings of QMATH12 |
| Databáze: | arXiv |
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