Renormalised thermodynamics for Bose gases from low to critical temperatures

Fuente: arXiv
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Autori principali: Heinrich, Michael H., Wowchik, Alexander, Berges, Jürgen
Natura: Preprint
Pubblicazione: 2026
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author Heinrich, Michael H.
Wowchik, Alexander
Berges, Jürgen
author_facet Heinrich, Michael H.
Wowchik, Alexander
Berges, Jürgen
contents We compute thermodynamic properties of dilute Bose gases using non-perturbative approximations of the two-particle irreducible (2PI) effective action. It is shown how to systematically renormalise the self-consistent descriptions beyond conventional Gaussian approximations such as Hartree-Fock-Bogoliubov theory. This allows us to determine the condensate depletion from low to high temperatures, including its critical behaviour at the phase transition. While the universal anomalous dimension at criticality is vanishing for Gaussian approximations, we determine its non-zero value at next-to-leading order of a self-consistent expansion in the number of field components.
format Preprint
id arxiv_https___arxiv_org_abs_2604_16290
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Renormalised thermodynamics for Bose gases from low to critical temperatures
Heinrich, Michael H.
Wowchik, Alexander
Berges, Jürgen
Quantum Gases
Quantum Physics
We compute thermodynamic properties of dilute Bose gases using non-perturbative approximations of the two-particle irreducible (2PI) effective action. It is shown how to systematically renormalise the self-consistent descriptions beyond conventional Gaussian approximations such as Hartree-Fock-Bogoliubov theory. This allows us to determine the condensate depletion from low to high temperatures, including its critical behaviour at the phase transition. While the universal anomalous dimension at criticality is vanishing for Gaussian approximations, we determine its non-zero value at next-to-leading order of a self-consistent expansion in the number of field components.
title Renormalised thermodynamics for Bose gases from low to critical temperatures
topic Quantum Gases
Quantum Physics
url https://arxiv.org/abs/2604.16290