Soliton evolution and associated sonic horizon formation dynamics in two-dimensional Bose-Einstein condensate with quintic-order nonlinearity

Ying Wang; Yujie Chen; Jun Dai; Li Zhao; Wen Wen; Wei Wang

doi:10.1063/5.0031741

Soliton evolution and associated sonic horizon formation dynamics in two-dimensional Bose-Einstein condensate with quintic-order nonlinearity

Ying Wang^*, Yujie Chen, Jun Dai, Li Zhao, Wen Wen, Wei Wang

^*Corresponding author for this work

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3 Citations (Scopus)

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Abstract

This study explored the two-dimensional Bose-Einstein condensate with an inter-particle nonlinear interaction up to quintic order. Based on the two-dimensional Gross-Pitaevskii equation model with quintic-order nonlinearity, we first derived the bright soliton solution for the system based on the self-similar approach and the modified variational method. We identified that the kinematic quantities derived from the two methods agreed very well. The two-dimensional sonic horizon formation dynamics was then calculated based on the bright soliton solution that was obtained. The periodic formation and evolution patterns of the two-dimensional sonic horizon were quantitatively analyzed and pictorially illustrated. The results can be used to guide sonic black hole related phenomenon observations in a two-dimensional Bose-Einstein condensate with quintic-order nonlinearity.

Original language	English
Article number	0031741
Journal	Chaos
Volume	31
Issue number	2
Early online date	1 Feb 2021
DOIs	https://doi.org/10.1063/5.0031741
Publication status	Published - Feb 2021

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics
General Physics and Astronomy
Applied Mathematics

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title = "Soliton evolution and associated sonic horizon formation dynamics in two-dimensional Bose-Einstein condensate with quintic-order nonlinearity",

abstract = "This study explored the two-dimensional Bose-Einstein condensate with an inter-particle nonlinear interaction up to quintic order. Based on the two-dimensional Gross-Pitaevskii equation model with quintic-order nonlinearity, we first derived the bright soliton solution for the system based on the self-similar approach and the modified variational method. We identified that the kinematic quantities derived from the two methods agreed very well. The two-dimensional sonic horizon formation dynamics was then calculated based on the bright soliton solution that was obtained. The periodic formation and evolution patterns of the two-dimensional sonic horizon were quantitatively analyzed and pictorially illustrated. The results can be used to guide sonic black hole related phenomenon observations in a two-dimensional Bose-Einstein condensate with quintic-order nonlinearity. ",

author = "Ying Wang and Yujie Chen and Jun Dai and Li Zhao and Wen Wen and Wei Wang",

note = "Funding Information: This work was supported by the National Natural Science Foundation of China (NNSFC) under Grant Nos. 11547024 and 11874185. Publisher Copyright: {\textcopyright} 2021 Author(s). Copyright: Copyright 2021 Elsevier B.V., All rights reserved.",

year = "2021",

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doi = "10.1063/5.0031741",

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AU - Wang, Ying

AU - Chen, Yujie

AU - Dai, Jun

AU - Zhao, Li

AU - Wen, Wen

AU - Wang, Wei

N1 - Funding Information: This work was supported by the National Natural Science Foundation of China (NNSFC) under Grant Nos. 11547024 and 11874185. Publisher Copyright: © 2021 Author(s). Copyright: Copyright 2021 Elsevier B.V., All rights reserved.

PY - 2021/2

Y1 - 2021/2

N2 - This study explored the two-dimensional Bose-Einstein condensate with an inter-particle nonlinear interaction up to quintic order. Based on the two-dimensional Gross-Pitaevskii equation model with quintic-order nonlinearity, we first derived the bright soliton solution for the system based on the self-similar approach and the modified variational method. We identified that the kinematic quantities derived from the two methods agreed very well. The two-dimensional sonic horizon formation dynamics was then calculated based on the bright soliton solution that was obtained. The periodic formation and evolution patterns of the two-dimensional sonic horizon were quantitatively analyzed and pictorially illustrated. The results can be used to guide sonic black hole related phenomenon observations in a two-dimensional Bose-Einstein condensate with quintic-order nonlinearity.

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Soliton evolution and associated sonic horizon formation dynamics in two-dimensional Bose-Einstein condensate with quintic-order nonlinearity

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