On Bose-Einstein condensation in interacting Bose gases in the Kac-Luttinger model
Mathematical Physics
2024-07-02 v1 Quantum Gases
math.MP
Quantum Physics
Abstract
We study interacting Bose gases of dimensions at zero temperature in a random model known as the Kac-Luttinger model. Choosing the pair-interaction between the bosons to be of a mean-field type, we prove (complete) Bose-Einstein condensation in probability or with probability almost one into the minimizer of a Hartree-type functional. We accomplish this by building upon very recent results by Alain-Sol Sznitman on the spectral gap of the noninteracting Bose gas.
Keywords
Cite
@article{arxiv.2312.14357,
title = {On Bose-Einstein condensation in interacting Bose gases in the Kac-Luttinger model},
author = {Chiara Boccato and Joachim Kerner and Maximilian Pechmann},
journal= {arXiv preprint arXiv:2312.14357},
year = {2024}
}