Modulational Instability of Trapped Two-Component Bose–Einstein Condensates
Jian-Wen Zhou, Xiao-Xun Li, Rui Gao, Wen-Shan Qin, Hao-Hao Jiang, Tao-Tao Li, Ju-Kui Xue**
College of Physics and Electronics Engineering, Northwest Normal University, Lanzhou 730070
Abstract ：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, intra- and 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.
收稿日期: 2019-05-30
出版日期: 2019-08-23
:
03.75.Lm
(Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations)
03.75.Kk
(Dynamic properties of condensates; collective and hydrodynamic excitations, superfluid flow)
33.80.Be
(Level crossing and optical pumping)
引用本文:
. [J]. 中国物理快报, 2019, 36(9): 90302-.
链接本文:
https://cpl.iphy.ac.cn/CN/10.1088/0256-307X/36/9/090302
或
https://cpl.iphy.ac.cn/CN/Y2019/V36/I9/90302
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2019, Vol. 36 
