Bose Gases at Positive Temperature and Non-Linear Gibbs Measures

2016/02/16 by Mathieu Lewin, Phan Thành Nam, Lewin, Mathieu +3
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Analysis of PDEs (math.AP) #Cold Atom Physics and Bose-Einstein Condensates #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Gases (cond-mat.quant-gas) #Quantum many-body systems

paper · pdf · doi:10.48550/arxiv.1602.05166

openalex publication_date 2016/02/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We summarize recent results on positive temperature equilibrium states of large bosonic systems. The emphasis will be on the connection between bosonic grand-canonical thermal states and the (semi-) classical Gibbs measures on one-body quantum states built using the corresponding mean-field energy functionals. An illustrative comparison with the case of "distinguishable" particles (boltzons) is provided.

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