Dynamics of 1D and 3D quantum droplets in parity-time-symmetric harmonic-Gaussian potentials with two competing nonlinearities

doi:10.1016/j.physd.2022.133527

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	Dynamics of 1D and 3D quantum droplets in parity-time-symmetric harmonic-Gaussian potentials with two competing nonlinearities
	Song, Jin 1,2; Yan, Zhenya 1,2
	2022-12-15
发表期刊	PHYSICA D-NONLINEAR PHENOMENA
ISSN	0167-2789
卷号	442 页码:15
摘要	In this paper, we investigate stable quantum droplet (alias soliton) propagations in the one-and three-dimensional (1D and 3D) amended Gross-Pitaevskii equations (alias nonlinear Schrodinger equations) with two competing nonlinearities and PT-symmetric harmonic-Gaussian potentials. Especially, in the 1D case, we demonstrate that the PT potential can admit fully-real linear spectra in certain potential parameter region, with apparent PT symmetry breaking behaviors. And, the stabilities of exact and numerical solitons are investigated. It can be found that the stabilities of solitons depend on not only the gain-and-loss strength (the condensate norm) but also the chemical potential. Then the relationship between two competing nonlinearities is adjusted by changing the strength of nonlinearity. It is concluded that the Lee-Huang-Yang (LHY) correction plays an active role in droplet stabilization Furthermore, collisions between solitons with unequal norms are explored in the PT potential in detail, and there exist elastic collisions for certain parameters. And the strong LHY correction term will ensure the stable dynamical behaviors of the droplets. Finally, we explore the excitation initialized by density-modulation and find that some excited droplets can propagate like breathers. And the adiabatic excitations by changing the potential parameters and strength of the cubic nonlinearity are also discussed. These results will have the implication for understanding the relevant quantum droplet phenomena and designing the related experiments.(c) 2022 Elsevier B.V. All rights reserved.
关键词	Amended Gross-Pitaevskii equations PT -symmetric potential Quantum droplets Stable solitons Soliton interactions and excitations
DOI	10.1016/j.physd.2022.133527
收录类别	SCI
语种	英语
资助项目	National Natural Science Foundation of China ; [11925108]
WOS研究方向	Mathematics ; Physics
WOS类目	Mathematics, Applied ; Physics, Fluids & Plasmas ; Physics, Multidisciplinary ; Physics, Mathematical
WOS记录号	WOS:000880401700006
出版者	ELSEVIER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/60647
专题	中国科学院数学与系统科学研究院
通讯作者	Yan, Zhenya
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, KLMM, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Song, Jin,Yan, Zhenya. Dynamics of 1D and 3D quantum droplets in parity-time-symmetric harmonic-Gaussian potentials with two competing nonlinearities[J]. PHYSICA D-NONLINEAR PHENOMENA,2022,442:15.
APA	Song, Jin,&Yan, Zhenya.(2022).Dynamics of 1D and 3D quantum droplets in parity-time-symmetric harmonic-Gaussian potentials with two competing nonlinearities.PHYSICA D-NONLINEAR PHENOMENA,442,15.
MLA	Song, Jin,et al."Dynamics of 1D and 3D quantum droplets in parity-time-symmetric harmonic-Gaussian potentials with two competing nonlinearities".PHYSICA D-NONLINEAR PHENOMENA 442(2022):15.