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Chin. Phys. B, 2022, Vol. 31(8): 080506    DOI: 10.1088/1674-1056/ac4e0f
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Oscillation properties of matter-wave bright solitons in harmonic potentials

Shu-Wen Guan(关淑文)1, Ling-Zheng Meng(孟令正)1, and Li-Chen Zhao(赵立臣)1,2,3,†
1 School of Physics, Northwest University, Xi'an 710127, China;
2 NSFC-SPTP Peng Huanwu Center for Fundamental Theory, Xi'an 710127, China;
3 Shaanxi Key Laboratory for Theoretical Physics Frontiers, Xi'an 710127, China
Abstract  We investigate the oscillation periods of bright soliton pair or vector bright soliton pair in harmonic potentials. We demonstrate that periods of low-speed solitons are greatly affected by the position shift during their collisions. The modified oscillation periods are described by defining a characterized speed, with the aid of asymptotic analysis on related exact analytic soliton solutions in integrable cases. The oscillation period can be used to distinguish the inter- and intra-species interactions between solitons. However, a bright soliton cannot oscillate in a harmonic trap, when it is coupled with a dark soliton (without any trapping potentials). Interestingly, it can oscillate in an anti-harmonic potential, and the oscillation behavior is explained by a quasi-particle theory. The modified period of two dark-bright solitons can be also described well by the characterized speed. These results address well the effects of position shift during soliton collision, which provides an important supplement for previous studies without considering phase shift effects.
Keywords:  matter-wave bright soliton      harmonic potential      oscillation period  
Received:  22 December 2021      Revised:  15 January 2022      Accepted manuscript online:  24 January 2022
PACS:  05.45.Yv (Solitons)  
  02.30.Ik (Integrable systems)  
  42.65.Tg (Optical solitons; nonlinear guided waves)  
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 12022513, 11775176, 11947301, and 12047502) and the Major Basic Research Program of the Natural Science of Foundation of Shaanxi Province, China (Grant Nos. 2018KJXX-094 and 2017KCT-12).
Corresponding Authors:  Li-Chen Zhao     E-mail:

Cite this article: 

Shu-Wen Guan(关淑文), Ling-Zheng Meng(孟令正), and Li-Chen Zhao(赵立臣) Oscillation properties of matter-wave bright solitons in harmonic potentials 2022 Chin. Phys. B 31 080506

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