Berezinskii-Kosterlitz-Thouless transition of two-dimensional Bose gases in a synthetic magnetic field

TL;DR

This paper investigates the Berezinskii-Kosterlitz-Thouless transition in 2D Bose gases under synthetic magnetic fields, using Monte Carlo simulations of the frustrated XY model to determine critical temperatures relevant for cold atom experiments.

Contribution

It provides a novel Monte Carlo analysis of the BKT transition in this system, linking theoretical predictions with experimental observables in cold atom setups.

Findings

Critical temperature calculated without central peak in momentum space

Results agree with previous studies on superconducting Josephson arrays

Method applicable for experimental detection via time-of-flight imaging

Abstract

We study the Berezinskii-Kosterlitz-Thouless transition of two-dimensional Bose gases in a synthetic magnetic field using the standard Metropolis Monte Carlo method. The system is described by the frustrated XY model and the critical temperature is calculated though the absence of central peak of the wave function in momentum space, which can be directly measured by the time-of-flight absorbing imaging in cold atoms experiments. The results of our work show agreement with former studies on superconducting Josephson arrays.