Nonlinear resonance phenomenon of one-dimensional Bose–Einstein condensate under periodic modulation

doi:10.1088/1674-1056/23/2/020309

中国物理B ›› 2014, Vol. 23 ›› Issue (2): 20309-020309.doi: 10.1088/1674-1056/23/2/020309

Nonlinear resonance phenomenon of one-dimensional Bose–Einstein condensate under periodic modulation

花巍^a, 刘世兴^b

a College of Physics and Technology, Shenyang Normal University, Shenyang 110034, China;
b College of Physics, Liaoning University, Shenyang 110036, China

收稿日期:2013-04-06 修回日期:2013-08-16 出版日期:2013-12-12 发布日期:2013-12-12
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11247288 and 11301350).

Nonlinear resonance phenomenon of one-dimensional Bose–Einstein condensate under periodic modulation

Hua Wei (花巍)^a, Liu Shi-Xing (刘世兴)^b

a College of Physics and Technology, Shenyang Normal University, Shenyang 110034, China;
b College of Physics, Liaoning University, Shenyang 110036, China

Received:2013-04-06 Revised:2013-08-16 Online:2013-12-12 Published:2013-12-12
Contact: Liu Shi-Xing E-mail:liushixing@lnu.edu.cn
About author:03.75.Nt; 05.30.Jp; 02.60.Cb
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11247288 and 11301350).

摘要/Abstract

摘要： We investigate the effect of an external periodic modulation on the one-dimensional (1D) Bose–Einstein condensate with harmonic trapping potential. By numerically solving the Gross–Pitaevskii equation with symplectic algorithm, the nonlinear resonance phenomenon is shown and the corresponding Fourier spectrum is given. The autoresonance phenomenon is also presented under almost periodic external modulation, and it shows that the condensate eventually evolves into quasi-periodic oscillation.

关键词: Bose–, Einstein condensate, resonance, periodic modulation, symplectic method

Abstract: We investigate the effect of an external periodic modulation on the one-dimensional (1D) Bose–Einstein condensate with harmonic trapping potential. By numerically solving the Gross–Pitaevskii equation with symplectic algorithm, the nonlinear resonance phenomenon is shown and the corresponding Fourier spectrum is given. The autoresonance phenomenon is also presented under almost periodic external modulation, and it shows that the condensate eventually evolves into quasi-periodic oscillation.

Key words: Bose–, Einstein condensate, resonance, periodic modulation, symplectic method

中图分类号: (Other Bose-Einstein condensation phenomena)

03.75.Nt

05.30.Jp (Boson systems) 02.60.Cb (Numerical simulation; solution of equations)

花巍, 刘世兴. Nonlinear resonance phenomenon of one-dimensional Bose–Einstein condensate under periodic modulation[J]. 中国物理B, 2014, 23(2): 20309-020309.

Hua Wei (花巍), Liu Shi-Xing (刘世兴). Nonlinear resonance phenomenon of one-dimensional Bose–Einstein condensate under periodic modulation[J]. Chin. Phys. B, 2014, 23(2): 20309-020309.

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Nonlinear resonance phenomenon of one-dimensional Bose–Einstein condensate under periodic modulation

Nonlinear resonance phenomenon of one-dimensional Bose–Einstein condensate under periodic modulation

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