A large deviation principle in many-body quantum dynamics
arXiv:2010.13754 · doi:10.1007/s00023-021-01044-1
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.
arXiv comment21 pages, small changes in the introduction
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Cited by in corpus (6)
- Large deviation estimates for weakly interacting bosons
- Weak Edgeworth expansion for the mean-field interacting Bose gas
- A note on dependent random variables in quantum dynamics
- 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
- Large deviations in the quantum quasi-1D jellium