On the Josephson effect in a Bose-Einstein condensate subject to a density dependent gauge potential

TL;DR

This paper explores how a density-dependent gauge potential influences the Josephson effect and self-trapping phenomena in a Bose-Einstein condensate within a double well, using a classical Hamiltonian approach.

Contribution

It derives nonlinear Josephson equations incorporating a density-dependent gauge potential, providing a new classical Hamiltonian framework for analyzing many-body BEC dynamics.

Findings

Self-trapping behavior is modified by the gauge potential.

Phase-space trajectories reveal altered dynamical regimes.

The gauge potential affects the stability of the condensate's oscillations.

Abstract

We investigate the coherent dynamics of a Bose-Einstein condensate in a double well, subject to a density dependent gauge potential. Further, we derive the nonlinear Josephson equations that allow us to understand the many-body system in terms of a classical Hamiltonian that describes the motion of a nonrigid pendulum with an initial angular offset. Finally we analyze the phase-space trajectories of the system, and describe how the self-trapping is affected by the presence of an interacting gauge potential.