Instability of Bose-Einstein condensation into the one-particle ground state on quantum graphs under repulsive perturbations

Jens Bolte, Joachim Kerner

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Abstract

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.
Original languageEnglish
Article number043301
Pages (from-to)1-9
Number of pages9
JournalJournal of Mathematical Physics
Volume57
DOIs
Publication statusPublished - 18 Apr 2016

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