Time-dependent self-trapping of Bose-Einstein Condensates in a double-well potential

TL;DR

This paper investigates how Bose-Einstein condensates in a double-well potential can be dynamically trapped in time-dependent states through periodic modulation, revealing new control mechanisms for condensate dynamics.

Contribution

It introduces the concept of time-dependent self-trapping of BECs and demonstrates how to achieve adiabatic evolution beyond traditional conditions by manipulating system parameters.

Findings

Time-dependent self-trapping enables control of BEC dynamics.

Adiabatic evolution can be achieved beyond linear conditions.

Fixed points of the system are characterized.

Abstract

Based on the mean-field approximation and the phase space analysis, we discuss the dynamics of Bose-Einstein condensates in a double-well potential. By applying a periodic modulation to the coupling between the condensates, we find the condensates can be trapped in the time-dependent eigenstates of the effective Hamiltonian, we refer to this effect as time-dependent self-trapping of BECs. A comparison of this self-trapping with the adiabatic evolution is made, finding that the adiabatic evolution beyond the traditional(linear) adiabatic condition can be achieved in BECs by manipulating the nonlinearity and the ratio of the level bias to the coupling constant. The fixed points for the system are calculated and discussed.