Generic transverse stability of kink structures in atomic and optical nonlinear media with competing attractive and repulsive interactions

Abstract

We demonstrate the existence and stability of one-dimensional (1D) topological kink configurations immersed in higher-dimensional bosonic gases and nonlinear optical setups. Our analysis pertains, in particular, to the two- and three-dimensional extended Gross-Pitaevskii models with quantum fluctuations describing droplet-bearing environments but also to the two-dimensional cubic-quintic nonlinear Schrödinger equation containing higher-order corrections to the nonlinear refractive index. Contrary to the generic dark soliton transverse instability, the kink structures are generically robust under the interplay of low-amplitude attractive and high-amplitude repulsive interactions. A quasi-1D effective potential picture dictates the existence of these defects, while their stability is obtained numerically and analytically through linearization analysis and direct dynamics in the presence of external fluctuations showcasing their unprecedented resilience. These generic (across different models) findings should be detectable in current cold atom and optics experiments, offering insights towards controlling topological excitations.

5 pages, 3 figures

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• Stability and dynamics of nonlinear excitations in a two-dimensional droplet-bearing environment
• Mobile Kink Solitons in a Van der Waals Charge-Density-Wave Layer

Cited by in corpus (5)

• Localization and splitting of a quantum droplet with a potential defect
• Rogue waves in extended Gross-Pitaevskii Models with a Lee-Huang-Yang correction
• Energy spectra and fluxes of two-dimensional turbulent quantum droplets
• Phases and dynamics of an impurity immersed in one-dimensional quantum droplets
• Bosonic quantum Hall droplets in rapidly rotating two-dimensional Bose-Einstein condensates