The Bose Gas in a box with Neumann boundary conditions
Boccato C, Seiringer R. 2023. The Bose Gas in a box with Neumann boundary conditions. Annales Henri Poincare. 24, 1505–1560.
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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
2023-05-01
Journal Title
Annales Henri Poincare
Acknowledgement
Funding from the European Union’s Horizon 2020 research and innovation programme under the ERC grant agreement No 694227 is gratefully acknowledged.
Volume
24
Page
1505-1560
ISSN
IST-REx-ID
Cite this
Boccato C, Seiringer R. The Bose Gas in a box with Neumann boundary conditions. Annales Henri Poincare. 2023;24:1505-1560. doi:10.1007/s00023-022-01252-3
Boccato, C., & Seiringer, R. (2023). The Bose Gas in a box with Neumann boundary conditions. Annales Henri Poincare. Springer Nature. https://doi.org/10.1007/s00023-022-01252-3
Boccato, Chiara, and Robert Seiringer. “The Bose Gas in a Box with Neumann Boundary Conditions.” Annales Henri Poincare. Springer Nature, 2023. https://doi.org/10.1007/s00023-022-01252-3.
C. Boccato and R. Seiringer, “The Bose Gas in a box with Neumann boundary conditions,” Annales Henri Poincare, vol. 24. Springer Nature, pp. 1505–1560, 2023.
Boccato C, Seiringer R. 2023. The Bose Gas in a box with Neumann boundary conditions. Annales Henri Poincare. 24, 1505–1560.
Boccato, Chiara, and Robert Seiringer. “The Bose Gas in a Box with Neumann Boundary Conditions.” Annales Henri Poincare, vol. 24, Springer Nature, 2023, pp. 1505–60, doi:10.1007/s00023-022-01252-3.
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