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arXiv · 2204.02423

Finite Temperature Description of an Interacting Bose Gas

Anushrut Sharma·Guram Kartvelishvili·Justin Khoury
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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.

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Anushrut Sharma, Guram Kartvelishvili, Justin Khoury. 2022-04-05. Finite Temperature Description of an Interacting Bose Gas. https://doi.org/10.1103/physrevd.106.045025

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