The stochastic Gross-Pitaevskii equation: III

TL;DR

This paper presents a generalized stochastic Gross-Pitaevskii equation for rotating Bose gases, explaining how rotation influences vortex formation and the role of high energy cutoffs in the classical field evolution.

Contribution

It introduces a new formalism for modeling partially condensed Bose gases with rotation, linking vortex formation to thermodynamic instability from first principles.

Findings

Rotation alters the high energy cutoff's role in the classical field.

Bose-enhanced collisions favor vortex formation with matching angular momentum.

The formalism explains vortex lattice formation due to thermodynamic instability.

Abstract

A generalised stochastic Gross-Pitaevskii equation describing a partially condensed trapped Bose gas with rotating thermal component is presented. We elucidate the manner in which the rotation changes the role of the high energy cutoff and introduces centrifugal effects in the classical field evolution. The rotation of the cloud means that Bose-enhanced collision processes occur preferentially into states with the same angular momentum as the thermal cloud, thus favouring vortex formation. We use the formalism to obtain a first principles theory of vortex lattice formation caused by thermodynamic instability.