Large deviation estimates for weakly interacting bosons

Abstract

We study the many-body dynamics of an initially factorized bosonic wave function in the meanfield 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.

A note on dependent random variables in quantum dynamics

“…Recently, for one-particle operators the probability distribution's tails were characterized through large deviation estimates [14,20], showing that…”