Bose-Einstein condensation beyond the Gross-Pitaevskii regime

DOI10.1007/s00023-020-01004-1zbMath1467.82006arXiv2002.03406OpenAlexW3005141775MaRDI QIDQ2662010

Christian Brennecke, Benjamin Schlein, Arka Adhikari

Publication date: 8 April 2021

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.03406

zbMATH Keywords

Bose-Einstein condensation

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Phase transitions (general) in equilibrium statistical mechanics (82B26) Many-body theory; quantum Hall effect (81V70) Quantum equilibrium statistical mechanics (general) (82B10) Bosonic systems in quantum theory (81V73)

Related Items (22)

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Cites Work

• Ground states of large bosonic systems: the Gross-Pitaevskii limit revisited
• The mathematics of the Bose gas and its condensation.
• The excitation spectrum for weakly interacting bosons
• Derivation of the Gross-Pitaevskii equation for rotating Bose gases
• Complete Bose-Einstein condensation in the Gross-Pitaevskii regime
• Bogoliubov theory in the Gross-Pitaevskii limit
• A simple 2nd order lower bound to the energy of dilute Bose gases
• Optimal rate for Bose-Einstein condensation in the Gross-Pitaevskii regime
• The energy of dilute Bose gases
• Complex bosonic many-body models: overview of the small field parabolic flow
• Gross-Pitaevskii dynamics for Bose-Einstein condensates
• Eigenvalues and Eigenfunctions of a Bose System of Hard Spheres and Its Low-Temperature Properties
• Bogoliubov Spectrum of Interacting Bose Gases
• Quantum-Mechanical Many-Body Problem with Hard-Sphere Interaction

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