Large deviation estimates for weakly interacting bosons

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.

16 pages, final version to appear in Journal of Statistical Physics

References in corpus (1)

• On the Mean-Field Limit of Bosons with Coulomb Two-Body Interaction

Cited by in corpus (3)

• Weak Edgeworth expansion for the mean-field interacting Bose gas
• Out-of-time-ordered correlators of mean-field bosons via Bogoliubov theory
• Asymptotic analysis of the weakly interacting Bose gas: A collection of recent results and applications