On a condition for type-I Bose-Einstein condensation in random potentials in $d$ dimensions
Mathematical Physics
2020-07-20 v1 math.MP
Quantum Physics
Abstract
In this paper we discuss Bose-Einstein condensation (BEC) in systems of pairwise non-interacting bosons in random potentials in dimensions. Working in a rather general framework, we provide a "gap condition" which is sufficient to conclude existence of type-I BEC in probability and in the th mean. We illustrate our results in the context of the well-known (one-dimensional) Luttinger-Sy model. Here, whenever the particle density exceeds a critical value, we show in addition that only the ground state is macroscopically occupied.
Cite
@article{arxiv.1911.03200,
title = {On a condition for type-I Bose-Einstein condensation in random potentials in $d$ dimensions},
author = {Joachim Kerner and Maximilian Pechmann and Wolfgang Spitzer},
journal= {arXiv preprint arXiv:1911.03200},
year = {2020}
}
Comments
26 pages