A Large Deviation Principle in Many-Body Quantum Dynamics

Kay Kirkpatrick; Simone Rademacher; Benjamin Schlein

doi:10.1007/s00023-021-01044-1

A Large Deviation Principle in Many-Body Quantum Dynamics

Kay Kirkpatrick, Simone Rademacher, Benjamin Schlein

Research output: Contribution to journal › Article › peer-review

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.

Original language	English (US)
Pages (from-to)	2595-2618
Number of pages	24
Journal	Annales Henri Poincare
Volume	22
Issue number	8
DOIs	https://doi.org/10.1007/s00023-021-01044-1
State	Published - Aug 2021

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Nuclear and High Energy Physics
Mathematical Physics

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10.1007/s00023-021-01044-1

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title = "A Large Deviation Principle in Many-Body Quantum Dynamics",

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.",

author = "Kay Kirkpatrick and Simone Rademacher and Benjamin Schlein",

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A Large Deviation Principle in Many-Body Quantum Dynamics

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