Large deviation estimates for weakly interacting bosons
Mathematical Physics
2022-07-07 v2 math.MP
Abstract
We study the many-body dynamics of an initially factorized bosonic wave function in the mean-field regime. We prove large deviation estimates for the fluctuations around the condensate. We derive an upper bound extending a recent result to more general interactions. Furthermore, we derive a new lower bound which agrees with the upper bound in leading order.
Cite
@article{arxiv.2112.01999,
title = {Large deviation estimates for weakly interacting bosons},
author = {Simone Rademacher and Robert Seiringer},
journal= {arXiv preprint arXiv:2112.01999},
year = {2022}
}
Comments
16 pages, final version to appear in Journal of Statistical Physics