Modulational Instability of Trapped Two-Component Bose-Einstein Condensates

• 来源期刊: 中国物理快报（英文版）
• 年，卷（期）: 2019,（9）
• 页码范围: 7-10
• 页数: 4页
• 语种: 英文
• DOI: 10.1088/0256-307X/36/9/090302

摘要

The modulational instability of two-component Bose-Einstein condensates (BECs) under an external parabolic potential is discussed.Based on the trapped two-component Gross-Pitaevskill equations,a time-dependent dispersion relation is obtained analytically by means of the modified lens-type transformation and linear stability analysis.It is shown that a modulational unstable time scale exists for trapped two-component BECs.The modulational properties-which are determined by the wave number,external trapping parameter,intraand inter-species atomic interactions-are modified significantly.The analytical results are confirmed by direct numerical simulation.Our results provide a criterion for judging the occurrence of instability of the trapped two-component BECs in experiment.