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arXiv · 1309.6091

Many-particle quantum graphs and Bose-Einstein condensation

Jens Bolte·Joachim Kerner
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Abstract

In this paper we propose quantum graphs as one-dimensional models with a complex topology to study Bose-Einstein condensation and phase transitions in a rigorous way. We fist investigate non-interacting many-particle systems on quantum graphs and provide a complete classification of systems that exhibit Bose-Einstein condensation. We then consider models of interacting particles that can be regarded as a generalisation of the well-known Tonks-Girardeau gas. Here our principal result is that no phase transitions occur in bosonic systems with repulsive hardcore interactions, indicating an absence of Bose-Einstein condensation.

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Jens Bolte, Joachim Kerner. 2013-09-24. Many-particle quantum graphs and Bose-Einstein condensation. https://doi.org/10.1063/1.4879497

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