The role of the density of states in Bose-Einstein condensation

2025/09/08 by Alexios P. Polychronakos, Polychronakos, Alexios P., Stéphane Ouvry +1
Chemistry · Physics and Astronomy · #Advanced Chemical Physics Studies #Advanced Physical and Chemical Molecular Interactions #Atomic Physics (physics.atom-ph) #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Statistical Mechanics (cond-mat.stat-mech)

paper · pdf · doi:10.48550/arxiv.2509.07089

openalex publication_date 2025/09/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/02

Abstract

The onset of Bose-Einstein condensation in systems with various densities of states is examined, with particular attention to the role of the behavior of their energy spectrum at low and high energies. Specifically, the results of Chatterjee and Diaconis, which rely exclusively on the high-energy behavior, are compared and reconciled with those of the standard physics approach, where the existence of condensation is determined by the low-energy behavior.

Citations

• Microscopic inclusion statistics in a discrete 1-body spectrum

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