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Effects of periodic optical lattice potential on dark solitons in a Bose Einstein condensate

Chinese Physics B 2009年第11期18卷 4726-4733页

作者：李宏王东宁 School of Physics and Electronic Science Hubei Normal University School of Mechanical and Electronic Engineering Huangshi Institute of Technology Department of Electrical Engineering Hong Kong Polytechnic University

This paper investigates the dynamics of dark solitons in a Bose-Einstein condensate with a magnetic trap and an optical lattice （OL） trap, and analyses the effects of the periodic OL potential on the dynamics by applying the variational approach based on the renormalized integrals of motion. The results show that the dark soliton becomes only a standing-wave and free propagation of the dark soliton is not possible when the periodic length of the OL potential is approximately equal to the effective width of the dark soliton. When the periodic length is very small or very large, the effects of the OL potential on the dark soliton will be sharply reduced. Finally, the numerical results confirm these theoretical findings.

关键词： Bose-Einstein condensate dark soliton magnetic potential optical lattice potential

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Stationary Classical Chaos of Trapped Two-Component Bose-Einstein Condensates in 1-D optical lattice potentials

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Communications in Theoretical Physics 2007年第7期48卷 125-131页

作者： FANG Jian-Shu LIU Wing-Ki ZHU Shan-Hua1 Institute of Physics,Hunan University of Technology,Zhuzhou 412008,China2 Department of Physics,Hunan Normal University,Changsha 410081,China3 Department of Physics,University of Waterloo,Waterloo,Ontario,Canada N2L 3G1 Institute of Physics Hunan University of Technology Zhuzhou 412008 China Department of Physics Hunan Normal University Changsha 410081 China Department of Physics University of Waterloo Waterloo Ontario Canada N2L 3G1

We study the nonlinear dynamics of two-component Bose-Einstein condensates in one-dimensional pe-riodic optical lattice *** stationary state perturbation solutions of the coupled two-component nonlinearSchr?dinger/Gross-Pitaevskii equations are constructed by using the direct perturbation *** analysisrevels that the perturbation solution is the chaotic one,which indicates the existence of chaos and chaotic region inparameter *** corresponding numerical calculation results agree well with the analytical *** applying thechaotic perturbation solution,we demonstrate the atomic spatial population and the energy distribution of the systemare chaotic generally.

关键词： stationary state classical chaos two-component Bose-Einstein condensates optical lattice potential

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Analytical Periodic Wave and Soliton Solutions of the Generalized Nonautonomous Nonlinear Schrdinger Equation in Harmonic and optical lattice potentials

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Communications in Theoretical Physics 2012年第9期58卷 393-397页

作者：周嘉仪李画眉何俊荣 Department of Physics Zhejiang Normal University

We construct analytical periodic wave and soliton solutions to the generalized nonautonomous nonlinear Schr6dinger equation with timeand space-dependent distributed coefficients in harmonic and optical lattice potentials. We utilize the similarity transformation technique to obtain these solutions. Constraints for the dispersion coefficient, the nonlinearity, and the gain （loss） coefficient are presented at the same time. Various shapes of periodic wave and soliton solutions are studied analytically and physically. Stability analysis of the solutions is discussed numerically.

关键词： generalized nonautonomous nonlinear SchrSdinger equation optical lattice potential periodicwave soliton

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