The Bose gas in a box with Neumann boundary conditions

Abstract

We consider a gas of bosonic particles confined in a box with Neumann boundary conditions. We prove Bose-Einstein condensation in the Gross-Pitaevskii regime, with an optimal bound on the condensate depletion. Our lower bound for the ground state energy in the box implies (via Neumann bracketing) a lower bound for the ground state energy of the Bose gas in the thermodynamic limit.

45 pages

References in corpus (4)

• The Second Order Upper Bound for the Ground Energy of a Bose Gas
• Bose-Einstein Condensation with Optimal Rate for Trapped Bosons in the Gross-Pitaevskii Regime
• Excitation Spectrum for Bose Gases beyond the Gross-Pitaevskii Regime
• Another proof of BEC in the GP-limit

Cited by in corpus (6)

• Upper bound for the grand canonical free energy of the Bose gas in the Gross-Pitaevskii limit
• Quantum Fluctuations of Many-Body Dynamics around the Gross-Pitaevskii Equation
• Upper bound for the grand canonical free energy of the Bose gas in the Gross-Pitaevskii limit for general interaction potentials
• A Short Proof of Bose-Einstein Condensation in the Gross-Pitaevskii Regime and Beyond
• Lower bounds on the energy of the Bose gas
• Second Order Expansion of Gibbs State Reduced Density Matrices in the Gross-Pitaevskii Regime