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Quantum reflection of a Bose-Einstein condensate with a dark soliton from a step potential |
| Dong-Mei Wang(王冬梅)1, Jian-Chong Xing(邢健崇)1, Rong Du(杜荣)1, Bo Xiong(熊波)2,†, and Tao Yang(杨涛)1,3,4,‡ |
1 Shaanxi Key Laboratory for Theoretical Physics Frontiers, Institute of Modern Physics, Northwest University, Xi'an 710127, China;
2 School of Science, Wuhan University of Technology, Wuhan 430070, China;
3 School of Physics, Northwest University, Xi'an 710127, China;
4 Peng Huanwu Center for Fundamental Theory, Xi'an 710127, China |
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Abstract We study dynamical behaviors of a Bose-Einstein condensate (BEC) containing a dark soliton reflected from potential wells and potential barriers, respectively. The orientation angle of the dark soliton and the width of the potential change play key roles on the reflection probability Rs. Variation of the reflection probability with respect to the orientation angle θ of the dark soliton can be well described by a cosine function Rs~cos[λ(θ-π/2)], where λ is a parameter determined by the width of the potential change. There are two characteristic lengths which determine the reflection properties. The dependence of the reflection probability on the width of the potential change shows distinct characters for potential wells and potential barriers. The length of the dark soliton determines the sensitive width of potential wells, whereas for potential barriers, the decay length of the matter wave in the region of the barrier qualifies the sensitive width of the barrier. The time evolution of the density profiles of the system during the reflection process is studied to disclose the different behaviors of matter waves in the region of the potential variation.
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Received: 28 March 2021
Revised: 19 April 2021
Accepted manuscript online: 26 May 2021
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PACS:
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03.75.Nt
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(Other Bose-Einstein condensation phenomena)
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05.45.Yv
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(Solitons)
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34.50.-s
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(Scattering of atoms and molecules)
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| Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11775178, 12075175, 11934015, and 12047502), the Major Basic Research Program of Natural Science of Shaanxi Province, China (Grant Nos. 2017KCT-12 and 2017ZDJC-32), and the Open Research Fund of Shaanxi Key Laboratory for Theoretical Physics Frontiers (Grant No. SXKLTPF-K20190602). |
Corresponding Authors:
Bo Xiong, Tao Yang
E-mail: boxiongpd@gmail.com;yangt@nwu.edu.cn
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Cite this article:
Dong-Mei Wang(王冬梅), Jian-Chong Xing(邢健崇), Rong Du(杜荣), Bo Xiong(熊波), and Tao Yang(杨涛) Quantum reflection of a Bose-Einstein condensate with a dark soliton from a step potential 2021 Chin. Phys. B 30 120303
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