Stable Vortex–Bright-Soliton Structures in Two-Component Bose-Einstein Condensates

Law, Kody J. H.; Kevrekidis, P. G.; Tuckerman, Laurette S.

doi:10.1103/physrevlett.105.160405

Cited by 112 publications

(58 citation statements)

References 49 publications

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“…Figures 3, 4, and 5 depict examples of initially rotated, in order to produce the vortexvortex (VV) state, and dynamically evolved vortex-bright As has been illustrated in the recent study of [38] (even in the absence of a trap) and also in earlier works in the presence of a trap [27], the vortex-bright state is generally stable. As mentioned in Sec.…”

Section: B Vortex-vortex Structures In 2dmentioning

confidence: 79%

“…We then examine the two-dimensional (2D) case by considering vortex-bright solitons. The latter involve a vortex in one component trapping a bright soliton in the other component [27,28]. These structures are also known as "filled core vortices" (experimentally observed in Ref.…”

Section: Introductionmentioning

confidence: 84%

“…These structures are also known as "filled core vortices" (experimentally observed in Ref. [29]), "half-quantum vortices" [30,31], or "baby Skyrmions" [32], and their stability [27,33] and dynamics [27,30] have been studied. Rotating these in Sec.…”

Section: Introductionmentioning

confidence: 99%

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SO(2)-induced breathing patterns in multicomponent Bose-Einstein condensates

et al. 2016

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In this work, we employ the SO(2) rotations of a two-component, one-, two-, and three-dimensional nonlinear Schrödinger system at and near the Manakov limit to construct vector solitons and vortex structures. In this way, stable stationary dark-bright solitons and their higher-dimensional siblings are transformed into robust oscillatory dark-dark solitons (and generalizations thereof) with and without a harmonic confinement. By analogy to the one-dimensional case, vector higher-dimensional structures take the form of vortex-vortex states in two dimensions and, e.g., vortex-ring-vortex-ring ones in three dimensions. We consider the effects of unequal (self-and cross-) interaction strengths, where the SO(2) symmetry is only approximately satisfied, showing the dark-dark soliton oscillation is generally robust. Similar features are found in higher dimensions too, although our examples suggest that phenomena such as phase separation may contribute to the associated dynamics. These results, in connection with the experimental realization of one-dimensional variants of such states in optics and Bose-Einstein condensates, suggest the potential observability of the higher-dimensional bound states proposed herein.

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Section: B Vortex-vortex Structures In 2dmentioning

confidence: 79%

Section: Introductionmentioning

confidence: 84%

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SO(2)-induced breathing patterns in multicomponent Bose-Einstein condensates

et al. 2016

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“…[36,38]. Generalizations of such states in two-dimensional waveguide arrays with the formation of vortex-bright states [39] or of genuinely discrete variants thereof [44] would also be an exciting theme for future investigations.…”

Section: Conclusion and Future Challengesmentioning

confidence: 99%

“…However, it was only quite recently that such structures were experimentally observed [33][34][35][36]. This has led to a renewed interest in this theme, by addressing the interactions of dark-bright solitons from an integrable theory [37] or numerical [38] perspective, as well as their higher-dimensional generalizations [39]. To the best of our knowledge, there is no earlier investigation of such states in models with a periodic potential except in the context of nonlinear dynamical lattices [40].…”

Section: Introductionmentioning

confidence: 99%

Dark-bright gap solitons in coupled-mode one-dimensional saturable waveguide arrays

et al. 2011

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In the present work, we consider the dynamics of dark solitons as one mode of a defocusing photorefractive lattice coupled with bright solitons as a second mode of the lattice. Our investigation is motivated by an experiment that illustrates that such coupled states can exist with both components in the first gap of the linear band spectrum. This finding is further extended by the examination of different possibilities from a theoretical perspective, such as symbiotic ones where the bright component is supported by states of the dark component in the first or second gap, or nonsymbiotic ones where the bright soliton is also a first-gap state coupled to a first or second gap state of the dark component. While the obtained states are generally unstable, these instabilities typically bear fairly small growth rates, which enable their observation for experimentally relevant propagation distances.

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Existence, Stability and Nonlinear Dynamics of Vortices and Vortex Clusters in Anisotropic Bose-Einstein Condensates

Stockhofe

Schmelcher

2012

Progress in Optical Science and Photonics

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This chapter is devoted to the study of vortex excitations in one-component Bose-Einstein condensates, with a special emphasis on the impact of anisotropic confinement on the existence, stability and dynamical properties of vortices and particularly few-vortex clusters. Symmetry breaking features are pervasive within this system even in its isotropic installment, where cascades of symmetry breaking bifurcations give rise to the multi-vortex clusters, but also within the anisotropic realm which naturally breaks the rotational symmetry of the multi-vortex states. Our first main tool for analyzing the system consists of a weakly nonlinear (bifurcation) approach which starts from the linear states of the problem and examines their continuation and bifurcation into novel symmetry-broken configurations in the nonlinear case. This is first done in the isotropic limit and the modifications introduced by the anisotropy are subsequently presented. The second main tool concerns the highly nonlinear regime where the vortices can be considered as individual topologically charged "particles" which precess within the parabolic trap and interact with each other, similarly to fluid vortices. The conclusions stemming from both the bifurcation and the interacting particle picture are corroborated by numerical computations which are also used to bridge the gap between these two opposite-end regimes.

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Stable Vortex–Bright-Soliton Structures in Two-Component Bose-Einstein Condensates

Cited by 112 publications

References 49 publications

SO(2)-induced breathing patterns in multicomponent Bose-Einstein condensates

SO(2)-induced breathing patterns in multicomponent Bose-Einstein condensates

Dark-bright gap solitons in coupled-mode one-dimensional saturable waveguide arrays

Existence, Stability and Nonlinear Dynamics of Vortices and Vortex Clusters in Anisotropic Bose-Einstein Condensates

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