Ground state energy of a dilute two-dimensional Bose gas from the Bogoliubov free energy functional

DOI10.1063/1.5096987zbMath1421.82034arXiv1903.09268OpenAlexW2923490271MaRDI QIDQ5228059

Robin Reuvers, Marcin Napiórkowski, Søren Fournais, Jan Philip Solovej

Publication date: 8 August 2019

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

Full work available at URL: https://arxiv.org/abs/1903.09268

zbMATH Keywords

Bose gasBogoliubov free energy

Mathematics Subject Classification ID

Quantum equilibrium statistical mechanics (general) (82B10) Statistical mechanics of gases (82D05) Statistical thermodynamics (82B30)

Related Items (12)

The Bogoliubov free energy functional. II: The dilute limit ⋮ A simple 2nd order lower bound to the energy of dilute Bose gases ⋮ On an intercritical log-modified nonlinear Schrödinger equation in two spatial dimensions ⋮ Self-bound vortex states in nonlinear Schrödinger equations with LHY correction ⋮ The excitation spectrum of two-dimensional Bose gases in the Gross-Pitaevskii regime ⋮ The ground state energy of a two-dimensional Bose gas ⋮ THE FREE ENERGY OF THE TWO-DIMENSIONAL DILUTE BOSE GAS. I. LOWER BOUND ⋮ The free energy of the two-dimensional dilute Bose gas. II. Upper bound ⋮ Gross-Pitaevskii limit of a homogeneous Bose gas at positive temperature ⋮ Optimal upper bound for the correlation energy of a Fermi gas in the mean-field regime ⋮ Bose-Einstein condensation for two dimensional bosons in the Gross-Pitaevskii regime ⋮ The second-order correction to the ground state energy of the dilute Bose gas

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