Analysis of the Holzmann-Chevallier-Krauth theory for the trapped quasi-two-dimensional Bose gas

TL;DR

This paper critically analyzes and improves upon the Holzmann-Chevallier-Krauth theory for predicting the BKT transition temperature in trapped quasi-2D Bose gases, providing a more accurate lower bound.

Contribution

It develops a consistent meanfield-based theory that refines the prediction of the BKT transition temperature in trapped quasi-2D Bose gases.

Findings

HCK predictions vary with improved meanfield theory

The new theory provides a lower bound for the transition temperature

Analysis enhances understanding of superfluid transition in quasi-2D gases

Abstract

We provide an in depth analysis of the theory proposed by Holzmann, Chevallier and Krauth (HCK) [Europhys. Lett., {\bf 82}, 30001 (2008)] for predicting the temperature at which the Berezinskii-Kosterlitz-Thouless (BKT) transition to a superfluid state occurs in the harmonically trapped quasi-two-dimensional (2D) Bose gas. Their theory is based on a meanfield model of the system density and we show that the HCK predictions change appreciably when an improved meanfield theory and identification of the transition point is used. In this analysis we develop a consistent theory that provides a lower bound for the BKT transition temperature in the trapped quasi-2D Bose gas.