Excitation spectrum of Bose gases beyond the Gross–Pitaevskii regime

DOI10.1142/S0129055X22500271MaRDI QIDQ5044160

Christian Brennecke, Marco Caporaletti, Benjamin Schlein

Publication date: 24 October 2022

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.13003

zbMATH Keywords

Bose-Einstein condensatesbeyond the Gross-Pitaevskii limitreal Bose gas

Mathematics Subject Classification ID

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

Related Items (12)

A second order upper bound on the ground state energy of a Bose gas beyond the Gross–Pitaevskii regime ⋮ The Bose gas in a box with Neumann boundary conditions ⋮ Bogoliubov excitation spectrum of Bose gases ⋮ Mini-workshop: A geometric fairytale full of spectral gaps and random fruit. Abstracts from the mini-workshop held November 27 -- December 3, 2022 ⋮ Bogoliubov excitation spectrum of trapped Bose gases in the Gross-Pitaevskii regime ⋮ The excitation spectrum of two-dimensional Bose gases in the Gross-Pitaevskii regime ⋮ An optimal upper bound for the dilute Fermi gas in three dimensions ⋮ Validity of Bogoliubov's approximation for translation-invariant Bose gases ⋮ A second order upper bound for the ground state energy of a hard-sphere gas in the Gross-Pitaevskii regime ⋮ The energy of dilute Bose gases. II: The general case ⋮ On the emergence of quantum Boltzmann fluctuation dynamics near a Bose-Einstein condensate ⋮ On Bose-Einstein condensates in the Thomas-Fermi regime

Cites Work

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• Bose-Einstein condensation beyond the Gross-Pitaevskii regime
• Bogoliubov Spectrum of Interacting Bose Gases
• Derivation of the time dependent Gross–Pitaevskii equation with external fields
• Quantitative Derivation of the Gross‐Pitaevskii Equation
• Theory of the Superfluidity of Helium II

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