Controlling the Population Imbalance of a Bose-Einstein Condensate by a Symmetry-Breaking Driving Field

TL;DR

This paper demonstrates how symmetry-breaking driven nonlinear Floquet states can be used to control the population imbalance in a Bose-Einstein condensate within a double-well potential, advancing quantum control methods.

Contribution

It introduces a novel approach to manipulate many-body quantum states using symmetry-breaking Floquet states, extending control techniques to nonlinear regimes.

Findings

Population imbalance is controllable via parameter tuning.

Extends symmetry-breaking control to many-body systems.

Navigation of nonlinear Floquet states is feasible.

Abstract

Nonlinear Floquet states associated with a symmetry-breaking driving field are exploited to control the dynamics of a Bose-Einstein condensate in a double-well potential. The population imbalance between the two wells is shown to be controllable by slowly tuning system parameters along a closed path. The results extend symmetry-breaking-based quantum control to many-body systems and extend navigation of linear Floquet states to navigation of nonlinear Floquet states.