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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 |
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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.
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Received: 28 November 2020
Revised: 31 December 2020
Accepted manuscript online: 07 January 2021
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PACS:
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03.75.Lm
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(Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations)
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03.75.Mn
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(Multicomponent condensates; spinor condensates)
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03.75.Kk
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(Dynamic properties of condensates; collective and hydrodynamic excitations, superfluid flow)
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| 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: aileenchur@126.com;xfzhang@ntsc.ac.cn
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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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