@article{285622b2e7d9464281a20e836d8541ee,
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",
note = "Funding Information: The authors gratefully acknowledge G{\'e}rard 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{\textquoteright}s Horizon 2020 research and innovation programme under the Marie Sk{\l}odowska-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. Publisher Copyright: {\textcopyright} 2021, The Author(s).",
year = "2021",
month = aug,
doi = "10.1007/s00023-021-01044-1",
language = "English (US)",
volume = "22",
pages = "2595--2618",
journal = "Annales Henri Poincare",
issn = "1424-0637",
publisher = "Birkhauser Verlag Basel",
number = "8",
}