On the effect of repulsive interactions on Bose-Einstein condensation in the Luttinger-Sy model
Mathematical Physics
2021-05-17 v1 math.MP
Quantum Physics
Abstract
In this paper we investigate the effect of repulsive pair interactions on Bose-Einstein condensation in a well-established random one-dimensional system known as the Luttinger-Sy model at positive temperature. We study separately hard core interactions as well as a class of more general repulsive interactions, also allowing for a scaling of certain interaction parameters in the thermodynamic limit. As a main result, we prove in both cases that for sufficiently strong interactions all eigenstates of the non-interacting one-particle Luttinger-Sy Hamiltonian as well as any sufficiently localized one-particle state are almost surely not macroscopically occupied.
Keywords
Cite
@article{arxiv.2007.06448,
title = {On the effect of repulsive interactions on Bose-Einstein condensation in the Luttinger-Sy model},
author = {Joachim Kerner and Maximilian Pechmann},
journal= {arXiv preprint arXiv:2007.06448},
year = {2021}
}