Central limit theorem for Bose-Einstein condensates

DOI10.1063/1.5094348zbMath1421.82035arXiv1903.00365OpenAlexW3106294225WikidataQ127528804 ScholiaQ127528804MaRDI QIDQ5228058

Simone Rademacher, Benjamin Schlein

Publication date: 8 August 2019

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

Full work available at URL: https://arxiv.org/abs/1903.00365

zbMATH Keywords

Bose-Einstein condensatesBose gasGross-Pitaevskii regime

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Phase transitions (general) in equilibrium statistical mechanics (82B26) Quantum equilibrium statistical mechanics (general) (82B10) Statistical mechanics of gases (82D05)

Related Items (8)

Reduced fluctuations for bosons in a double well ⋮ Dependent random variables in quantum dynamics ⋮ Two-term expansion of the ground state one-body density matrix of a mean-field Bose gas ⋮ Large deviation estimates for weakly interacting bosons ⋮ Weak Edgeworth expansion for the mean-field Bose gas ⋮ Central limit theorem for Bose gases interacting through singular potentials ⋮ Bosons in a double well: two-mode approximation and fluctuations ⋮ A large deviation principle in many-body quantum dynamics

Cites Work

• Ground states of large bosonic systems: the Gross-Pitaevskii limit revisited
• Derivation of the Gross-Pitaevskii equation for rotating Bose gases
• Bogoliubov theory in the Gross-Pitaevskii limit
• Multivariate central limit theorem in quantum dynamics
• A central limit theorem in many-body quantum dynamics
• Bogoliubov Spectrum of Interacting Bose Gases

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