Self-bound states induced by the Lee–Huang–Yang effect in non-$$\mathcal{PT}\mathcal{}$$-symmetric complex potentials

Zhou, Zheng; Shi, Yi-Min; Fu-qiu, YE; Chen, Hao; Tang, Shi-Qing; Deng, Haiming; Zhong, Honghua

doi:10.1007/s11071-022-07797-6

Nonlinear Dyn

2022

DOI: 10.1007/s11071-022-07797-6

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Self-bound states induced by the Lee–Huang–Yang effect in non-$$\mathcal{PT}\mathcal{}$$-symmetric complex potentials

Zheng Zhou

Yi-Min Shi²,

YE Fu-qiu³

et al.

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Cited by 7 publications

(1 citation statement)

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“…Here T = −(2𝑚) −1 ∇ 2 , with 𝑚 being the atomic mass, represents the kinetic-energy operator, nonlinear terms 𝑉 mf and 𝑉LHY represent the MF and LHY local nonlinear terms, 𝑉ex is an external potential, and 𝑉sp encapsulates effects that extend beyond the framework of the basic GPE, such as the scaled rate of three-body losses, or the loss and gain terms (which are often characterized by 𝒫𝒯symmetric potential [88][89][90] ). It is relevant to stress that the choice of an appropriate potential 𝑉ex makes it possible to create QDs with diverse shapes.…”

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confidence: 99%

Vortex Quantum Droplets under Competing Nonlinearities

Chen 陈,

Wang 王,

Deng 邓

et al. 2024

Chinese Phys. Lett.

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This concise review summarizes recent advancements in theoretical studies of vortex quantum droplets (VQDs) in matter-wave fields. These are robust self-trapped vortical states in two- and three-dimensional (2D and 3D) Bose-Einstein condensates (BECs) with intrinsic nonlinearity. Stability of VQDs is provided by additional nonlinearities resulting from quantum fluctuations around mean-field states, often referred to as the Lee-Huang-Yang (LHY) corrections. The basic models are presented, with emphasis on the interplay between the mean-field nonlinearity, LHY correction, and spatial dimension, that determines the structure and stability of VQDs. We embark by delineating fundamental properties of VQDs in the 3D free space, followed by consideration of their counterparts in the 2D setting. Additionally, we address stabilization of matter-wave VQDs by optical potentials. Finally, we summarize results for the study of VQDs in the single-component BEC of atoms carrying magnetic moments. In that case, the anisotropy of the long-range dipole-dipole interactions endows the VQDs with unique characteristics. The results produced by the theoretical studies in this area directly propose experiments for the observation of novel physical effects in the realm of quantum matter, and suggest potential applications to the design of new schemes for processing classical and quantum information.

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mentioning

confidence: 99%

Vortex Quantum Droplets under Competing Nonlinearities

Chen 陈,

Wang 王,

Deng 邓

et al. 2024

Chinese Phys. Lett.

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Bright and kink solitons of time-modulated cubic–quintic–septic–nonic nonlinear Schrödinger equation under space-time rotated $$\mathcal{P}\mathcal{T}$$-symmetric potentials

Zhong,

Triki,

Zhou

2023

Nonlinear Dyn

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Vortex-ring quantum droplets in a radially-periodic potential

et al. 2022

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We establish stability and characteristics of two-dimensional (2D) vortex ring-shaped quantum droplets (QDs) formed by binary Bose-Einstein condensates (BECs). The system is modeled by the Gross-Pitaevskii (GP) equation with the cubic term multiplied by a logarithmic factor (as produced by the Lee-Huang-Yang correction to the mean-field theory) and a potential which is a periodic function of the radial coordinate. Narrow vortex rings with high values of the topological charge, trapped in particular circular troughs of the radial potential, are produced. These results suggest an experimentally relevant method for the creation of vortical QDs (thus far, only zero-vorticity ones have been reported). The 2D GP equation for the narrow rings is approximately reduced to the 1D form, which makes it possible to study the modulational stability of the rings against azimuthal perturbations. Full stability areas are delineated for these modes. The trapping capacity of the circular troughs is identified for the vortex rings with different winding numbers (WNs). Stable compound states in the form of mutually nested concentric multiple rings are constructed too, including ones with opposite signs of the WNs. Other robust compound states combine a modulationally stable narrow ring in one circular potential trough and an azimuthal soliton performing orbital motion in an adjacent one. The results may be used to design a device employing coexisting ring-shaped modes with different WNs for data storage.

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Self-bound states induced by the Lee–Huang–Yang effect in non-$$\mathcal{PT}\mathcal{}$$-symmetric complex potentials

Cited by 7 publications

References 59 publications

Vortex Quantum Droplets under Competing Nonlinearities

Vortex Quantum Droplets under Competing Nonlinearities

Bright and kink solitons of time-modulated cubic–quintic–septic–nonic nonlinear Schrödinger equation under space-time rotated $$\mathcal{P}\mathcal{T}$$-symmetric potentials

Vortex-ring quantum droplets in a radially-periodic potential

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