1 results
Bose–Einstein condensation for particles with repulsive short-range pair interactions in a Poisson random external potential in
$\mathbb{R}^{d}$
- Part of
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- Journal:
- Journal of Applied Probability / Volume 60 / Issue 2 / June 2023
- Published online by Cambridge University Press:
- 28 October 2022, pp. 382-393
- Print publication:
- June 2023
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- Article
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We study Bose gases in
$d \ge 2$
dimensions 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 canonical eigenstates of the underlying one-particle Hamiltonian.
