Finite Temperature Description of an Interacting Bose Gas
Abstract
We derive the equation of state of a Bose gas with contact interactions using relativistic quantum field theory. The calculation accounts for both thermal and quantum corrections up to 1-loop order. We work in the Hartree-Fock-Bogoliubov approximation and follow Yukalov's prescription of introducing two chemical potentials, one for the condensed phase and another one for the excited phase, to circumvent the well-known Hohenberg-Martin dilemma. As a check on the formalism, we take the non-relativistic limit and reproduce known non-relativistic results. Finally, we translate our results to the hydrodynamical, two-fluid model for finite-temperature superfluids. Our results are relevant for the phenomenology of Bose-Einstein Condensate and superfluid dark matter candidates, as well as the color-flavor locking phase of quark matter in neutron stars.
Keywords
Cite
@article{arxiv.2204.02423,
title = {Finite Temperature Description of an Interacting Bose Gas},
author = {Anushrut Sharma and Guram Kartvelishvili and Justin Khoury},
journal= {arXiv preprint arXiv:2204.02423},
year = {2022}
}