Gross-Pitaevskii limit of a homogeneous Bose gas at positive temperature

DOI10.1007/s00205-020-01489-4zbMath1439.82006arXiv1901.11363OpenAlexW3104422478MaRDI QIDQ1984798

Andreas Deuchert, Robert Seiringer

Publication date: 7 April 2020

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.11363

zbMATH Keywords

thermodynamic limitGross-Pitaevskii equationBose gas

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Phase transitions (general) in equilibrium statistical mechanics (82B26) Quantum equilibrium statistical mechanics (general) (82B10) Critical phenomena in equilibrium statistical mechanics (82B27) Statistical mechanics of gases (82D05) Statistical thermodynamics (82B30)

Related Items (14)

Bose–Einstein condensation on hyperbolic spaces ⋮ Bogoliubov excitation spectrum of Bose gases ⋮ The excitation spectrum of two-dimensional Bose gases in the Gross-Pitaevskii regime ⋮ A path-integral analysis of interacting Bose gases and loop gases ⋮ Mean-field limits for quantum systems and nonlinear Gibbs measures ⋮ On the emergence of quantum Boltzmann fluctuation dynamics near a Bose-Einstein condensate ⋮ The free energy of the two-dimensional dilute Bose gas. II. Upper bound ⋮ Classical field theory limit of many-body quantum Gibbs states in 2D and 3D ⋮ Scaling limits of bosonic ground states, from many-body to non-linear Schrödinger ⋮ Semiclassical approximation and critical temperature shift for weakly interacting trapped bosons ⋮ Ground state energy of a dilute two-dimensional Bose gas from the Bogoliubov free energy functional ⋮ On the effect of repulsive pair interactions on Bose–Einstein condensation in the Luttinger–Sy model ⋮ Optimal rate of condensation for trapped bosons in the Gross-Pitaevskii regime ⋮ Differential equations of quantum mechanics

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