Finite temperature stability of quantized vortex structures in rotating Bose-Einstein condensates via complex Langevin simulation

TL;DR

This study uses complex Langevin simulations to analyze the finite temperature stability of quantized vortex structures in rotating Bose-Einstein condensates, revealing how fluctuations influence vortex stabilization.

Contribution

It introduces a complex Langevin simulation approach to efficiently study vortex stability at finite temperatures, overcoming sign problems in the field theoretic representation.

Findings

Vortices are stabilized at lower rotation speeds by quantum and thermal fluctuations.

A temperature-rotation phase diagram is constructed showing vortex stability regions.

High-resolution density and momentum images visualize vortex structures.

Abstract

The thermodynamic stability of quantized vortex patterns in rotating Bose-Einstein condensates is assessed at finite temperature using complex Langevin sampling. We construct a temperature-rotation frequency phase diagram and find that that vortices are stabilized at lower rotation speeds by the addition of quantum and thermal fluctuations. The coherent states field theoretic representation of the imaginary time path integral enables efficient simulation of large systems at finite temperature, and the complex Langevin simulation scheme bypasses the sign problems that arise from the complex-valued coherent states fields as well as the gauge potential describing solid body rotation. Field operators allow us to generate high-resolution images of particle and momentum density of the cloud. Quantized vortices appear as dark spots on density images, and vector plots of cloud momentum detail circulation around each vortex.