Transition temperature and thermodynamic properties of homogeneous weakly interacting Bose gas in self-consistent Popov approximation
Abstract
This study utilizes the Cornwall-Jackiw-Tomboulis effective action approach combined with variational perturbation theory to investigate the relative shift in the transition temperature of a homogeneous, repulsive, weakly interacting Bose gas compared to that of an ideal Bose gas. By applying both the one-loop and self-consistent Popov approximations, the universal form of the relative shift in the transition temperature is derived, demonstrating its proportionality to the s-wave scattering length. The results exhibit excellent agreement with those obtained from precise Monte Carlo simulations. Furthermore, the zero-point energy and various thermodynamic properties are examined in both the condensed and normal phases. A comparison with experimental data reveals an excellent agreement, further validating the findings.
Keywords
Cite
@article{arxiv.2412.02269,
title = {Transition temperature and thermodynamic properties of homogeneous weakly interacting Bose gas in self-consistent Popov approximation},
author = {Nguyen Van Thu and Pham Duy Thanh and Lo Thi Thuy},
journal= {arXiv preprint arXiv:2412.02269},
year = {2026}
}