Gibbs measures for the repulsive Bose gas
Tianyi Bai, Quirin Vogel
TL;DR
This paper establishes the existence of Gibbs measures for the Feynman representation of the repulsive Bose gas, covering a range of chemical potentials, and explores their Gibbs and Markov properties.
Contribution
It proves the existence of Gibbs measures for the Bose gas with non-negative interactions across various chemical potentials, including new cases.
Findings
Existence of Gibbs measures for the Bose gas with non-negative interaction.
Validation of Gibbs and Markov properties for these measures.
Applicability to all negative and slightly positive chemical potentials.
Abstract
We prove the existence of Gibbs measures for the Feynman representation of the Bose gas with non-negative interaction in the grand-canonical ensemble. Our results are valid for all negative chemical potentials as well as slightly positive chemical potentials. We consider both the Gibbs property of marked points as well as a Markov--Gibbs property of paths.
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Taxonomy
TopicsCold Atom Physics and Bose-Einstein Condensates · Advanced Thermodynamics and Statistical Mechanics · Stochastic processes and statistical mechanics