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Chaos in a Bose-Einstein condensate
Authors:Wang Zhi-Xi  Ni Zheng-Guo  Cong Fu-Zhong  Liu Xue-Shen and Chen Lei
Institution:Aviation University of Air Force, Changchun 130022, China;Aviation University of Air Force, Changchun 130022, China;Aviation University of Air Force, Changchun 130022, China;Institute of Atomic and Molecular Physics, Jilin University, Changchun 130012, China;Aviation University of Air Force, Changchun 130022, China
Abstract:It is demonstrated that Smale-horseshoe chaos exists in the time evolution of the one-dimensional Bose--Einstein condensate driven by time-periodic harmonic or inverted-harmonic potential. A formally exact solution of the time-dependent Gross-Pitaevskii equation is constructed, which describes the matter shock waves with chaotic or periodic amplitudes and phases.
Keywords:Bose-Einstein condensate  chaos  Gross-Pitaevskii equation
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