Probability Seminar

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

Speaker: Maximilian Pechmann, UTK

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 canonical eigenstates of the underlying one-particle Hamiltonian. This is joint work with Joachim Kerner.