Nonlinear localized eigenmodes for a Bose–Einstein condensate in a double-well potential

Author:

Xie Qiongtao12,Liu Xiaoliang3,Rong Shiguang4

Affiliation:

1. College of Physics and Electronic Engineering, Hainan Normal University, Haikou 571158, China

2. Department of Physics, Hunan Normal University, Changsha 410081, China

3. School of Physics and Electronics, Central South University, Changsha 410083, China

4. Department of Physics, Hunan University of Science and Technology, Xiangtan 411201, China

Abstract

In this paper, we investigate the nonlinear localized eigenmodes for a Bose–Einstein condensate in a double-well potential. For a specific choice of the potential parameters, certain exact analytical solutions for nonlinear localized eigenmodes are presented. By applying the linear stability analysis, the stability regions of these exact nonlinear localized eigenmodes are obtained numerically. It is shown that under certain conditions, the unstable nonlinear localized modes display the breathing behavior characterized by repeated appearance of symmetric and asymmetric distributions in the two potentials. This breathing behavior is shown to arise from the symmetry breaking for these nonlinear localized eigenmodes.

Publisher

World Scientific Pub Co Pte Lt

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

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