A Large Deviation Principle in Many-Body Quantum Dynamics

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.

Detalles Bibliográficos
Autores principales: Kirkpatrick, Kay, Rademacher, Simone, Schlein, Benjamin
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2021
Materias:
Original Paper
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8550553/
https://www.ncbi.nlm.nih.gov/pubmed/34776771
http://dx.doi.org/10.1007/s00023-021-01044-1
Descripción
Sumario: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.

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