On Bose-Einstein condensation in the Luttinger-Sy model with finite interaction strength
Mathematical Physics
2019-02-07 v1 math.MP
Abstract
We study Bose-Einstein condensation (BEC) in the Luttinger-Sy model. Here, Bose point particles in one spatial dimension do not interact with each other, but, through a positive (repulsive) point potential with impurities which are randomly located along the real line according to the points of a Poisson process. Our emphasis is on the case in which the interaction strength is not infinite. As a main result, we prove that in thermal equilibrium the one-particle ground state is macroscopically occupied, provided that the particle density is larger than a critical one depending on the temperature.
Keywords
Cite
@article{arxiv.1808.10811,
title = {On Bose-Einstein condensation in the Luttinger-Sy model with finite interaction strength},
author = {Joachim Kerner and Maximilian Pechmann and Wolfgang Spitzer},
journal= {arXiv preprint arXiv:1808.10811},
year = {2019}
}