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
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author Kirkpatrick, Kay
Rademacher, Simone
Schlein, Benjamin
author_facet Kirkpatrick, Kay
Rademacher, Simone
Schlein, Benjamin
author_sort Kirkpatrick, Kay
collection PubMed
description 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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spelling pubmed-85505532021-11-10 A Large Deviation Principle in Many-Body Quantum Dynamics Kirkpatrick, Kay Rademacher, Simone Schlein, Benjamin Ann Henri Poincare Original Paper 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. Springer International Publishing 2021-04-08 2021 /pmc/articles/PMC8550553/ /pubmed/34776771 http://dx.doi.org/10.1007/s00023-021-01044-1 Text en © The Author(s) 2021 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Original Paper
Kirkpatrick, Kay
Rademacher, Simone
Schlein, Benjamin
A Large Deviation Principle in Many-Body Quantum Dynamics
title A Large Deviation Principle in Many-Body Quantum Dynamics
title_full A Large Deviation Principle in Many-Body Quantum Dynamics
title_fullStr A Large Deviation Principle in Many-Body Quantum Dynamics
title_full_unstemmed A Large Deviation Principle in Many-Body Quantum Dynamics
title_short A Large Deviation Principle in Many-Body Quantum Dynamics
title_sort large deviation principle in many-body quantum dynamics
topic Original Paper
url 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
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