English

A large deviation principle in many-body quantum dynamics

Mathematical Physics 2021-08-04 v3 math.MP

Abstract

We consider the many-body quantum evolution of a factorized initial data, in the mean-field regime. We show that fluctuations around the limiting Hartree dynamics satisfy large deviation estimates, that are consistent with central limit theorems that have been established in the last years.

Keywords

Cite

@article{arxiv.2010.13754,
  title  = {A large deviation principle in many-body quantum dynamics},
  author = {Kay Kirkpatrick and Simone Rademacher and Benjamin Schlein},
  journal= {arXiv preprint arXiv:2010.13754},
  year   = {2021}
}

Comments

21 pages, small changes in the introduction

R2 v1 2026-06-23T19:39:42.357Z