Dynamics of bright soliton in a spin-orbit coupled spin-1 Bose-Einstein condensate

doi:10.1088/1674-1056/abf34a

中国物理B ›› 2021, Vol. 30 ›› Issue (6): 60310-060310.doi: 10.1088/1674-1056/abf34a

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

收稿日期:2020-11-28 修回日期:2020-12-31 接受日期:2021-01-07 出版日期:2021-05-18 发布日期:2021-05-25
通讯作者: Xu Qiu, Xiao-Fei Zhang E-mail:aileenchur@126.com;xfzhang@ntsc.ac.cn
基金资助:
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).

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

Received:2020-11-28 Revised:2020-12-31 Accepted:2021-01-07 Online:2021-05-18 Published:2021-05-25
Contact: Xu Qiu, Xiao-Fei Zhang E-mail:aileenchur@126.com;xfzhang@ntsc.ac.cn
Supported by:
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).

摘要/Abstract

摘要： 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.

关键词: Bose-Einstein condensate, spin-orbit coupling, soliton

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.

Key words: Bose-Einstein condensate, spin-orbit coupling, soliton

中图分类号: (Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations)

03.75.Lm

03.75.Mn (Multicomponent condensates; spinor condensates) 03.75.Kk (Dynamic properties of condensates; collective and hydrodynamic excitations, superfluid flow)

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[J]. 中国物理B, 2021, 30(6): 60310-060310.

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[J]. Chin. Phys. B, 2021, 30(6): 60310-060310.

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Dynamics of bright soliton in a spin-orbit coupled spin-1 Bose-Einstein condensate

Dynamics of bright soliton in a spin-orbit coupled spin-1 Bose-Einstein condensate

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