Bose-Einstein condensation in a dilute, trapped gas at positive temperature

DOI10.1007/s00220-018-3239-0zbMath1435.81061arXiv1803.05180OpenAlexW3102504842WikidataQ129321953 ScholiaQ129321953MaRDI QIDQ2415342

Andreas Deuchert, Robert Seiringer, Jakob Yngvason

Publication date: 21 May 2019

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.05180

zbMATH Keywords

free energyharmonic potentialBose-Einstein condensationinteracting Bose gasGross-Pitaevskii limit

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) KdV equations (Korteweg-de Vries equations) (35Q53) Perturbation theories for operators and differential equations in quantum theory (81Q15) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Statistical mechanics of gases (82D05) Statistical thermodynamics (82B30) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26) Ion traps (78A37) Computational stability and error-correcting codes for quantum computation and communication processing (81P73)

Related Items (11)

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

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