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

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

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.

Keywords: Bose– Einstein condensate resonance periodic modulation symplectic method

Received: 06 April 2013
Revised: 16 August 2013
Accepted manuscript online:

PACS:	03.75.Nt	(Other Bose-Einstein condensation phenomena)
	05.30.Jp	(Boson systems)
	02.60.Cb	(Numerical simulation; solution of equations)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11247288 and 11301350).

Corresponding Authors: Liu Shi-Xing
E-mail: liushixing@lnu.edu.cn

About author: 03.75.Nt; 05.30.Jp; 02.60.Cb

Cite this article:

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

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

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