The Bose Gas in a box with Neumann boundary conditions

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Journal Article | Epub ahead of print | English

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Abstract
We consider a gas of n bosonic particles confined in a box [−ℓ/2,ℓ/2]3 with Neumann boundary conditions. We prove Bose–Einstein condensation in the Gross–Pitaevskii regime, with an optimal bound on the condensate depletion. Moreover, our lower bound for the ground state energy in a small box [−ℓ/2,ℓ/2]3 implies (via Neumann bracketing) a lower bound for the ground state energy of N bosons in a large box [−L/2,L/2]3 with density ρ=N/L3 in the thermodynamic limit.
Publishing Year
Date Published
2023-01-07
Journal Title
Annales Henri Poincare
ISSN
IST-REx-ID

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