article A large deviation principle in many-body quantum dynamics published yes Kay Kirkpatrick author Simone Anna Elvira Rademacher author 856966FE-A408-11E9-977E-802DE66974250000-0001-5059-4466 Benjamin Schlein author RoSe department ISTplus - Postdoctoral Fellowships project IST Austria Open Access Fund project 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. https://research-explorer.ista.ac.at/download/9351/10143/2021_Annales_Kirkpatrick.pdf application/pdfno https://creativecommons.org/licenses/by/4.0/ Springer Nature2021 eng Annales Henri Poincare 1424-0637 2010.13754 34776771 00063802260000110.1007/s00023-021-01044-1 222595-2618 Kirkpatrick, Kay, et al. “A Large Deviation Principle in Many-Body Quantum Dynamics.” <i>Annales Henri Poincare</i>, vol. 22, Springer Nature, 2021, pp. 2595–618, doi:<a href="https://doi.org/10.1007/s00023-021-01044-1">10.1007/s00023-021-01044-1</a>. Kirkpatrick, K., Rademacher, S. A. E., &#38; Schlein, B. (2021). A large deviation principle in many-body quantum dynamics. <i>Annales Henri Poincare</i>. Springer Nature. <a href="https://doi.org/10.1007/s00023-021-01044-1">https://doi.org/10.1007/s00023-021-01044-1</a> Kirkpatrick, Kay, Simone Anna Elvira Rademacher, and Benjamin Schlein. “A Large Deviation Principle in Many-Body Quantum Dynamics.” <i>Annales Henri Poincare</i>. Springer Nature, 2021. <a href="https://doi.org/10.1007/s00023-021-01044-1">https://doi.org/10.1007/s00023-021-01044-1</a>. Kirkpatrick K, Rademacher SAE, Schlein B. 2021. A large deviation principle in many-body quantum dynamics. Annales Henri Poincare. 22, 2595–2618. Kirkpatrick K, Rademacher SAE, Schlein B. A large deviation principle in many-body quantum dynamics. <i>Annales Henri Poincare</i>. 2021;22:2595-2618. doi:<a href="https://doi.org/10.1007/s00023-021-01044-1">10.1007/s00023-021-01044-1</a> K. Kirkpatrick, S. A. E. Rademacher, and B. Schlein, “A large deviation principle in many-body quantum dynamics,” <i>Annales Henri Poincare</i>, vol. 22. Springer Nature, pp. 2595–2618, 2021. K. Kirkpatrick, S.A.E. Rademacher, B. Schlein, Annales Henri Poincare 22 (2021) 2595–2618. 93512021-04-25T22:01:30Z2025-06-12T06:39:59Z