A note on dependent random variables in quantum dynamics

Abstract

We consider the many-body time evolution of weakly interacting bosons in the mean field regime for initial coherent states. We show that bounded k-particle operators, corresponding to dependent random variables, satisfy both, a law of large numbers and a central limit theorem.

Contribution to the Proceedings of ICMP 2021, 10 pages

References in corpus (1)

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

Cited by in corpus (2)

• Weak Edgeworth expansion for the mean-field interacting Bose gas
• Out-of-time-ordered correlators of mean-field bosons via Bogoliubov theory