A simple 2nd order lower bound to the energy of dilute Bose gases

DOI10.1007/s00220-020-03715-2zbMath1439.82043arXiv1901.00539OpenAlexW3102192772MaRDI QIDQ2181982

Jan Philip Solovej, Birger Brietzke, Søren Fournais

Publication date: 20 May 2020

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

Full work available at URL: https://arxiv.org/abs/1901.00539

zbMATH Keywords

interacting bosons

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Statistical mechanics of gases (82D05)

Related Items (17)

The low energy spectrum of trapped bosons in the Gross–Pitaevskii regime ⋮ Bogoliubov theory for trapped bosons in the Gross-Pitaevskii regime ⋮ Bose-Einstein condensation with optimal rate for trapped bosons in the Gross-Pitaevskii regime ⋮ Bose-Einstein condensation beyond the Gross-Pitaevskii regime ⋮ The Bose gas in a box with Neumann boundary conditions ⋮ The energy of dilute Bose gases. II: The general case ⋮ The energy of dilute Bose gases ⋮ Microscopic derivation of the Fröhlich Hamiltonian for the Bose polaron in the mean-field limit ⋮ The excitation spectrum of the Bose gas in the Gross–Pitaevskii regime ⋮ Scaling limits of bosonic ground states, from many-body to non-linear Schrödinger ⋮ The second-order correction to the ground state energy of the dilute Bose gas ⋮ Length scales for BEC in the dilute Bose gas ⋮ Ground state energy of a dilute two-dimensional Bose gas from the Bogoliubov free energy functional ⋮ Another proof of BEC in the GP-limit ⋮ Asymptotic expansion of low-energy excitations for weakly interacting bosons ⋮ Optimal rate of condensation for trapped bosons in the Gross-Pitaevskii regime ⋮ A new second-order upper bound for the ground state energy of dilute Bose gases

Cites Work

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• Bogoliubov theory in the Gross-Pitaevskii limit
• Optimal rate for Bose-Einstein condensation in the Gross-Pitaevskii regime
• The second-order correction to the ground state energy of the dilute Bose gas
• Ground-State Energy of a Hard-Sphere Gas
• Eigenvalues and Eigenfunctions of a Bose System of Hard Spheres and Its Low-Temperature Properties
• Ground state energy of a dilute two-dimensional Bose gas from the Bogoliubov free energy functional
• Ground state energy of the one-component charged Bose gas.

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