Instability of Bose-Einstein condensation into the one-particle ground state on quantum graphs under repulsive perturbations
Journal Article
·
· Journal of Mathematical Physics
- Department of Mathematics, Royal Holloway, University of London, Egham TW20 0EX (United Kingdom)
- Department of Mathematics and Computer Science, FernUniversität in Hagen, Hagen 58084 (Germany)
In this paper we investigate Bose-Einstein condensation into the one-particle ground state in interacting quantum many-particle systems on graphs. We extend previous results obtained for particles on an interval and show that even arbitrarily small repulsive two-particle interactions destroy the condensate in the one-particle ground state present in the non-interacting Bose gas. Our results also cover singular two-particle interactions, such as the well-known Lieb-Liniger model, in the thermodynamic limit.
- OSTI ID:
- 22597058
- Journal Information:
- Journal of Mathematical Physics, Vol. 57, Issue 4; Other Information: (c) 2016 Author(s); Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
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