Fluctuations of the Bose–Einstein condensate

DOI10.1088/1751-8113/47/8/085201zbMath1287.82005arXiv1306.3625OpenAlexW3101349601MaRDI QIDQ5408503

Persi Diaconis, Sourav Chatterjee

Publication date: 10 April 2014

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

Full work available at URL: https://arxiv.org/abs/1306.3625

zbMATH Keywords

canonical ensemblecentral limit theoremBose-Einstein condensationanomalous fluctuations

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Other elementary particle theory in quantum theory (81V25) Quantum equilibrium statistical mechanics (general) (82B10) Continuum models (systems of particles, etc.) arising in equilibrium statistical mechanics (82B21)

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Aspects of PDEs Related to Fluid Flows ⋮ The metric space of limit laws for $q$-hook formulas ⋮ The shape of the emerging condensate in effective models of condensation ⋮ Bose-Einstein condensation in a dilute, trapped gas at positive temperature ⋮ Grand canonical versus canonical ensemble: universal structure of statistics and thermodynamics in a critical region of Bose-Einstein condensation of an ideal gas in arbitrary trap ⋮ Randomization and the Gross-Pitaevskii hierarchy ⋮ Limit shapes for Gibbs ensembles of partitions ⋮ Local existence of solutions to randomized Gross-Pitaevskii hierarchies ⋮ An explicit large deviation analysis of the spatial cycle Huang-Yang-Luttinger model ⋮ Limit shapes for Gibbs partitions of sets ⋮ Law of large numbers unifying Maxwell-Boltzmann, Bose-Einstein and Zipf-Mandelbrot distributions, and related fluctuations

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