Fast control of topological vortex formation in BEC by counter-diabatic driving

TL;DR

This paper introduces a counter-diabatic control scheme for vortex formation in Bose-Einstein condensates that significantly reduces atom loss by physically feasible magnetic field manipulation.

Contribution

It proposes a practical method to implement counter-diabatic magnetic fields in BEC vortex formation using gauge transformation to comply with Maxwell's equations.

Findings

Atom loss during vortex formation is greatly suppressed.

The proposed method is experimentally feasible with existing magnetic control techniques.

The scheme enables faster and more reliable vortex creation in BECs.

Abstract

Topological vortex formation has been known as the simplest method for vortex formation in BEC of alkali atoms. This scheme requires inversion of the bias magnetic field along the axis of the condensate, which leads to atom loss when the bias field crosses zero. In this Letter, we propose a scheme with which the atom loss is greatly suppressed by adding counter-diabatic magnetic field. A naive counter-diabatic field violates the Maxwell equations and we need to introduce an approximation to make it physically feasible. The resulting field requires an extra currents, which is experimentally challenging. Finally we solve this problem by applying a gauge transformation so that the counter-diabatic field is generated by controlling the original trap field with the additional control of the bias field.