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Chin. Phys. B, 2021, Vol. 30(6): 060310    DOI: 10.1088/1674-1056/abf34a
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Dynamics of bright soliton in a spin-orbit coupled spin-1 Bose-Einstein condensate

Hui Guo(郭慧)1,2, Xu Qiu(邱旭)3,†, Yan Ma(马燕)1,2, Hai-Feng Jiang(姜海峰)1,2,4, and Xiao-Fei Zhang(张晓斐)1,2,‡
1 Key Laboratory of Time and Frequency Primary Standards, National Time Service Center, Chinese Academy of Sciences(CAS), Xi'an 710600, China;
2 School of Astronomy and Space Science, University of Chinese Academy of Sciences, Beijing 100049, China;
3 School of Economics and Management, Chongqing Normal University, Chongqing 401331, China;
4 CAS Center for Excellence and Synergetic Innovation Center in Quantum Information and Quantum Physics, University of Science and Technology of China, Shanghai 201315, China
Abstract  We have investigated the dynamics of bright solitons in a spin-orbit coupled spin-1 Bose-Einstein condensate analytically and numerically. By using the hyperbolic sine function as the trial function to describe a plane wave bright soliton with a single finite momentum, we have derived the motion equations of soliton's spin and center of mass, and obtained its exact analytical solutions. Our results show that the spin-orbit coupling couples the soliton's spin with its center-of-mass motion, the spin oscillations induced by the exchange of atoms between components result in the periodical oscillation of center-of-mass, and the motion of center of mass of soliton can be viewed as a superposition of periodical and linear motions. Our analytical results have also been confirmed by the direct numerical simulations of Gross-Pitaevskii equations.
Keywords:  Bose-Einstein condensate      spin-orbit coupling      soliton  
Received:  28 November 2020      Revised:  31 December 2020      Accepted manuscript online:  07 January 2021
PACS:  03.75.Lm (Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations)  
  03.75.Mn (Multicomponent condensates; spinor condensates)  
  03.75.Kk (Dynamic properties of condensates; collective and hydrodynamic excitations, superfluid flow)  
Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11775253) and the Key Research Program of Frontier Sciences, Chinese Academy of Sciences (Grant No. ZDBS-LY-7016).
Corresponding Authors:  Xu Qiu, Xiao-Fei Zhang     E-mail:;

Cite this article: 

Hui Guo(郭慧), Xu Qiu(邱旭), Yan Ma(马燕), Hai-Feng Jiang(姜海峰), and Xiao-Fei Zhang(张晓斐) Dynamics of bright soliton in a spin-orbit coupled spin-1 Bose-Einstein condensate 2021 Chin. Phys. B 30 060310

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