A Large Deviation Principle in Many-Body Quantum Dynamics

Kay Kirkpatrick; Simone Rademacher; Benjamin Schlein

doi:10.1007/s00023-021-01044-1

A Large Deviation Principle in Many-Body Quantum Dynamics

Ann Henri Poincare. 2021;22(8):2595-2618. doi: 10.1007/s00023-021-01044-1. Epub 2021 Apr 8.

Authors

Kay Kirkpatrick¹, Simone Rademacher², Benjamin Schlein³

Affiliations

¹ Department of Mathematics, University of Illinois at Urbana-Champaign, Urbana, IL 61801 USA.
² Institute of Science and Technology Austria, Am Campus 1, 3400 Klosterneuburg, Austria.
³ Institute of Mathematics, University of Zurich, Winterthurerstrasse 190, 8057 Zurich, Switzerland.

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.