Oscillation properties of matter-wave bright solitons in harmonic potentials

doi:10.1088/1674-1056/ac4e0f

中国物理B ›› 2022, Vol. 31 ›› Issue (8): 80506-080506.doi: 10.1088/1674-1056/ac4e0f

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

收稿日期:2021-12-22 修回日期:2022-01-15 接受日期:2022-01-24 出版日期:2022-07-18 发布日期:2022-08-02
通讯作者: Li-Chen Zhao E-mail:zhaolichen3@nwu.edu.cn
基金资助:
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).

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

Received:2021-12-22 Revised:2022-01-15 Accepted:2022-01-24 Online:2022-07-18 Published:2022-08-02
Contact: Li-Chen Zhao E-mail:zhaolichen3@nwu.edu.cn
Supported by:
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).

摘要/Abstract

摘要： 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.

关键词: matter-wave bright soliton, harmonic potential, oscillation period

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.

Key words: matter-wave bright soliton, harmonic potential, oscillation period

中图分类号: (Solitons)

05.45.Yv

02.30.Ik (Integrable systems) 42.65.Tg (Optical solitons; nonlinear guided waves)

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[J]. 中国物理B, 2022, 31(8): 80506-080506.

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[J]. Chin. Phys. B, 2022, 31(8): 80506-080506.

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Oscillation properties of matter-wave bright solitons in harmonic potentials

Oscillation properties of matter-wave bright solitons in harmonic potentials

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