The Bose gas in a box with Neumann boundary conditions
arXiv:2205.15284 · doi:10.1007/s00023-022-01252-3
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.
arXiv comment45 pages
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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
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