On Bose-Einstein condensation in one-dimensional noninteracting Bose gases in the presence of soft Poisson obstacles

DOI10.1007/s10955-022-03001-6zbMath1502.82012arXiv2012.15757OpenAlexW3115680338MaRDI QIDQ2087736

Maximilian Pechmann

Publication date: 21 October 2022

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

Full work available at URL: https://arxiv.org/abs/2012.15757

zbMATH Keywords

Bose-Einstein condensationrandom potentialKac-Luttinger conjecture

Mathematics Subject Classification ID

Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Many-body theory; quantum Hall effect (81V70) Quantum equilibrium statistical mechanics (general) (82B10) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

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Cites Work

• On the nature of Bose-Einstein condensation in disordered systems
• Lifschitz tail in a magnetic field: The nonclassical regime
• On a condition for type-I Bose-Einstein condensation in random potentials in \(d\) dimensions
• On Bose-Einstein condensation in the Luttinger-Sy model with finite interaction strength
• Bose-Einstein condensation in the Luttinger-Sy model with contact interaction
• Localization for Schrödinger operators with Poisson random potential
• On localization for the Schrödinger operator with a Poisson random potential
• On the nature of Bose–Einstein condensation enhanced by localization
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