Coherent tunneling of collective excitation of Bose-Einstein condensate in a double-well potential

TL;DR

This paper develops a multi-mode theoretical framework to analyze the tunneling and dynamics of local excitations in a Bose-Einstein condensate within a double-well potential, highlighting Josephson oscillations and self-trapping phenomena.

Contribution

It introduces a novel multi-mode model that describes local excitations in a double-well BEC, extending the understanding of Josephson effects beyond simple two-mode approximations.

Findings

Analytical prediction of Josephson oscillations and self-trapping.

Numerical confirmation of the theoretical models.

Description of the system using two independent two-mode models.

Abstract

The Josephson effect can be observed in a Bose-Einstein condensate in a double-well potential, which is attributed to the tunneling of bosons between two wells. We propose a multi-mode theory to investigate the dynamics of local excitations in a one-dimensional condensate in a double-well potential. We show that the system can be described by two independent two-mode models. The Josephson oscillation and the self-trapping of local collective excitations are predicted analytically and confirmed by numerical simulation.