Vector vortex solitons in two-component Bose–Einstein condensates with modulated nonlinearities and a harmonic trap

Xu, Si-Liu; Ze-qiang, Wang; He, Jun-Rong; Xue, L.; Belić, Milivoj R.

doi:10.1080/09500340.2018.1455915

Cited by 3 publications

(1 citation statement)

References 33 publications

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“…Unlike the present setting, such systems readily admit stationary states with different vorticities and different chemical potentials in the components. In particular, systems of this type give rise to stable states with "hidden vorticity", i.e., ones with opposite vorticities and equal norms in the two components, the corresponding total angular moment being zero, as predicted in BEC [18][19][20][21][22][23][24][25] and optics [26][27][28].…”

Section: Introductionmentioning

confidence: 99%

Symmetry Breaking in Interacting Ring-Shaped Superflows of Bose–Einstein Condensates

et al. 2019

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We demonstrate that the evolution of superflows in interacting persistent currents of ultracold gases is strongly affected by symmetry breaking of the quantum vortex dynamics. We study counterpropagating superflows in a system of two parallel rings in regimes of weak (a Josephson junction with tunneling through the barrier) and strong (rings merging across a reduced barrier) interactions. For the weakly interacting toroidal Bose-Einstein condensates, formation of rotational fluxons (Josephson vortices) is associated with spontaneous breaking of the rotational symmetry of the tunneling superflows. The influence of a controllable symmetry breaking on the final state of the merging counter-propagating superflows is investigated in the framework of a weakly dissipative mean-field model. It is demonstrated that the population imbalance between the merging flows and the breaking of the underlying rotational symmetry can drive the double-ring system to final states with different angular momenta.PACS numbers:

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Section: Introductionmentioning

confidence: 99%

Symmetry Breaking in Interacting Ring-Shaped Superflows of Bose–Einstein Condensates

et al. 2019

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Nonlinear dynamics of Josephson vortices in merging superfluid rings

Oliinyk

Malomed

Yakimenko

2020

Communications in Nonlinear Science and Numerical Simulation

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We consider merger of two parallel toroidal atomic Bose-Einstein condensates with different vorticities in a three-dimensional (3D) trap. In the tunnel-coupling regime, Josephson vortices (rotational fluxons) emerge in the barrier between the superflows. When the barrier is gradually eliminated, we observe essentially three-dimensional evolution of quantum vortices, which may include the development of the Kelvin-Helmholtz instability at the interface between the rings, in the framework of a weakly dissipative Gross-Pitaevskii equation. An initially more populated ring, carrying a persistent current, can drag an initially non-rotating less populated one into the same vortex state. The final state of the condensate crucially depends on an initial population imbalance in the double-ring set, as well as on the shape of the 3D trapping potential, oblate or prolate. In the prolate (axially elongated) configuration, robust 3D hybrid structures may appear as a result of the merger of persistent currents corresponding to different vorticities.

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Multipole solitons and vortex solitons in nonlocal nonlinear media

Wang

2024

Opt. Express

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The nonlinear Schrödinger equation (NLSE) under nonlocal nonlinear media (NNM) is described and the approximate analytical solutions of the vector multipole solitons and vortex optical soliton clusters are obtained via the variational method. The results show that the structure of the optical solitons is determined by modulation depth and topological charge. In the propagation process, the spatial soliton has an observable rotation property. Under certain conditions, the rotating space modulated vortex optical solitons degenerate into circular symmetric vortex optical solitons. The results can be extended to other physical systems.

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Vector vortex solitons in two-component Bose–Einstein condensates with modulated nonlinearities and a harmonic trap

Cited by 3 publications

References 33 publications

Symmetry Breaking in Interacting Ring-Shaped Superflows of Bose–Einstein Condensates

Symmetry Breaking in Interacting Ring-Shaped Superflows of Bose–Einstein Condensates

Nonlinear dynamics of Josephson vortices in merging superfluid rings

Multipole solitons and vortex solitons in nonlocal nonlinear media

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