Bose--Einstein condensation for particles with repulsive short-range pair interactions in a Poisson random external potential in $\mathbb R^d$

• URL: http://arxiv.org/abs/2110.04587v1
• Date: Sat, 9 Oct 2021 14:52:14 GMT
• Title: Bose--Einstein condensation for particles with repulsive short-range pair interactions in a Poisson random external potential in $\mathbb R^d$
• Authors: Joachim Kerner and Maximilian Pechmann
• Abstract summary: We study Bose gases in $d$ dimensions, $d ge 2$, with short-range repulsive pair interactions, at positive temperature, in the canonical ensemble and in the thermodynamic limit. For sufficiently strong interparticle interactions, we show that almost surely there cannot be Bose-Einstein condensation into a sufficiently localized, normalized one-particle state.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We study Bose gases in $d$ dimensions, $d \ge 2$, with short-range repulsive pair interactions, at positive temperature, in the canonical ensemble and in the thermodynamic limit. We assume the presence of hard Poissonian obstacles and focus on the non-percolation regime. For sufficiently strong interparticle interactions, we show that almost surely there cannot be Bose--Einstein condensation into a sufficiently localized, normalized one-particle state. The results apply to the eigenstates of the underlying one-particle Hamiltonian.

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