Bogoliubov excitation spectrum of trapped Bose gases in the Gross-Pitaevskii regime
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Publication:6114021
DOI10.1016/j.matpur.2023.06.002zbMath1527.81119arXiv2106.11949OpenAlexW3175833324MaRDI QIDQ6114021
Publication date: 11 July 2023
Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2106.11949
Estimates of eigenvalues in context of PDEs (35P15) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Phase transitions (general) in equilibrium statistical mechanics (82B26) Bosonic systems in quantum theory (81V73)
Related Items (10)
The low energy spectrum of trapped bosons in the Gross–Pitaevskii regime ⋮ Dilute Bose gas with three-body interaction: Recent results and open questions ⋮ Ground state energy of a Bose gas in the Gross–Pitaevskii regime ⋮ Reduced fluctuations for bosons in a double well ⋮ A second order upper bound on the ground state energy of a Bose gas beyond the Gross–Pitaevskii regime ⋮ Friedrichs diagrams: bosonic and fermionic ⋮ Beyond mean-field: Condensate coupled with pair excitations ⋮ An optimal upper bound for the dilute Fermi gas in three dimensions ⋮ Exponential decay of the number of excitations in the weakly interacting Bose gas ⋮ On Bose-Einstein condensates in the Thomas-Fermi regime
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