A large deviation principle in many-body quantum dynamics
Kirkpatrick K, Rademacher SAE, Schlein B. 2021. A large deviation principle in many-body quantum dynamics. Annales Henri Poincare. 22, 2595–2618.
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Author
Kirkpatrick, Kay;
Rademacher, Simone Anna ElviraISTA 
;
Schlein, Benjamin
;
Schlein, BenjaminDepartment
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.
Publishing Year
Date Published
2021-04-08
Journal Title
Annales Henri Poincare
Publisher
Springer Nature
Acknowledgement
The authors gratefully acknowledge Gérard Ben Arous for suggesting this kind of result. K.L.K. was partially supported by NSF CAREER Award DMS-125479 and a Simons Sabbatical Fellowship. S.R. acknowledges funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie Grant Agreement No. 754411. B. S. gratefully acknowledges partial support from the NCCR SwissMAP, from the Swiss National Science Foundation through the Grant “Dynamical and energetic properties of Bose–Einstein condensates” and from the European Research Council through the ERC-AdG CLaQS. Funding Open access funding provided by Institute of Science and Technology (IST Austria).
Volume
22
Page
2595-2618
ISSN
IST-REx-ID
Cite this
Kirkpatrick K, Rademacher SAE, Schlein B. A large deviation principle in many-body quantum dynamics. Annales Henri Poincare. 2021;22:2595-2618. doi:10.1007/s00023-021-01044-1
Kirkpatrick, K., Rademacher, S. A. E., & Schlein, B. (2021). A large deviation principle in many-body quantum dynamics. Annales Henri Poincare. Springer Nature. https://doi.org/10.1007/s00023-021-01044-1
Kirkpatrick, Kay, Simone Anna Elvira Rademacher, and Benjamin Schlein. “A Large Deviation Principle in Many-Body Quantum Dynamics.” Annales Henri Poincare. Springer Nature, 2021. https://doi.org/10.1007/s00023-021-01044-1.
K. Kirkpatrick, S. A. E. Rademacher, and B. Schlein, “A large deviation principle in many-body quantum dynamics,” Annales Henri Poincare, vol. 22. Springer Nature, pp. 2595–2618, 2021.
Kirkpatrick K, Rademacher SAE, Schlein B. 2021. A large deviation principle in many-body quantum dynamics. Annales Henri Poincare. 22, 2595–2618.
Kirkpatrick, Kay, et al. “A Large Deviation Principle in Many-Body Quantum Dynamics.” Annales Henri Poincare, vol. 22, Springer Nature, 2021, pp. 2595–618, doi:10.1007/s00023-021-01044-1.
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