The mean-field limit of quantum Bose gases at positive temperature

DOI10.1090/jams/987zbMath1504.35477arXiv2001.01546OpenAlexW3170907451MaRDI QIDQ5096122

Antti Knowles, Jürg Fröhlich, Vedran Sohinger, Benjamin Schlein

Publication date: 15 August 2022

Published in: Journal of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.01546

zbMATH Keywords

nonlinear Schrödinger equationGibbs measurequantum Bose gases

Mathematics Subject Classification ID

Random fields (60G60) Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Brownian motion (60J65) White noise theory (60H40) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40) Many-body theory; quantum Hall effect (81V70) Quantum equilibrium statistical mechanics (general) (82B10)

Related Items (5)

Interacting loop ensembles and Bose gases ⋮ Gibbs measures as unique KMS equilibrium states of nonlinear Hamiltonian PDEs ⋮ A microscopic derivation of Gibbs measures for the 1D focusing cubic nonlinear Schrödinger equation ⋮ Universality: random matrices, random geometry and SPDEs. Abstracts from the workshop held May 29 -- June 4, 2022 ⋮ Gross-Pitaevskii limit of a homogeneous Bose gas at positive temperature

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