Erratum: Stable Vortex–Bright-Soliton Structures in Two-Component Bose-Einstein Condensates [Phys. Rev. Lett.<b>105</b>, 160405 (2010)]

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

doi:10.1103/physrevlett.106.199903

Cited by 48 publications

(69 citation statements)

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“…Another possibility is to extend the present considerations to the vortex-bright solitons found in Ref. [28]. There, it would be relevant to identify whether molecular states consisting of two or three vortex-bright solitons can be constructed and whether the relative phases of 0 and π between the bright components can still yield different stationary states.…”

Section: Conclusion and Discussionmentioning

confidence: 99%

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Multiple dark-bright solitons in atomic Bose-Einstein condensates

et al. 2011

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Motivated by recent experimental results, we present a systematic theoretical analysis of dark-bright-soliton interactions and multiple-dark-bright-soliton complexes in atomic two-component Bose-Einstein condensates. We study analytically the interactions between two dark-bright solitons in a homogeneous condensate and then extend our considerations to the presence of the trap. We illustrate the existence of robust stationary dark-bright-soliton "molecules," composed of two or more solitons, which are formed due to the competition of the interaction forces between the dark-and bright-soliton components and the trap force. Our analysis is based on an effective equation of motion, derived for the distance between two dark-bright solitons. This equation provides equilibrium positions and characteristic oscillation frequencies of the solitons, which are found to be in good agreement with the eigenfrequencies of the anomalous modes of the system.

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Section: Conclusion and Discussionmentioning

confidence: 99%

“…[27]. Furthermore, higher-dimensional generalizations, namely, vortex-bright-soliton structures, were studied as well [28].…”

Section: Introductionmentioning

confidence: 99%

Multiple dark-bright solitons in atomic Bose-Einstein condensates

et al. 2011

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“…In a two-component system with inter-component repulsion, a dark soliton or a vortex in one component will induce a potential in the second component. If now atoms of the second ("bright") component are added in the absence of a spatially extended background of the second component, the density suppression in the first component will get filled by atoms of the second component and a dark-bright, a vortex-bright [23,24] or a ring-DB solitary wave [25] will emerge. However, if the second component features a (spatially extended) ground state profile, the presence of inter-component repulsion will produce an effective additional potential which will attract atoms of the second component into the dip of the first one.…”

Section: Introductionmentioning

confidence: 99%

Vector dark-antidark solitary waves in multicomponent Bose-Einstein condensates

et al. 2016

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Multi-component Bose-Einstein condensates exhibit an intriguing variety of nonlinear structures.In recent theoretical work, the notion of magnetic solitons has been introduced. Here we generalize this concept to vector dark-antidark solitary waves in multi-component Bose-Einstein condensates.We first provide concrete experimental evidence for such states in an atomic BEC and subsequently illustrate the broader concept of these states, which are based on the interplay between miscibility and inter-component repulsion. Armed with this more general conceptual framework, we expand the notion of such states to higher dimensions presenting the possibility of both vortex-antidark states and ring-antidark-ring (dark soliton) states. We perform numerical continuation studies, investigate the existence of these states and examine their stability using the method of Bogolyubovde Gennes analysis. Dark-antidark and vortex-antidark states are found to be stable for broad parametric regimes. In the case of ring dark solitons, where the single-component ring state is known to be unstable, the vector entity appears to bear a progressively more and more stabilizing role as the inter-component coupling is increased.

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“…However, we will focus solely on the former case due to its unconditional stability; as discussed e.g. in [34,35], in the case where the components are interchanged, parametric regimes of instabilities may arise.…”

Section: Model Setupmentioning

confidence: 99%

“…In two dimensions, generalizations of these states have been proposed in the form of vortex-bright (VB) solitons, which were introduced about a decade ago (see e.g. [34] and references therein) and were recently further explored in the work of [35].…”

Section: Introductionmentioning

confidence: 99%

Vortex–bright-soliton dipoles: Bifurcations, symmetry breaking, and soliton tunneling in a vortex-induced double well

2012

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The emergence of vortex-bright soliton dipoles in two-component Bose-Einstein condensates through bifurcations from suitable eigenstates of the underlying linear system is examined. These dipoles can have their bright solitary structures be in phase (symmetric) or out of phase (antisymmetric). The dynamical robustness of each of these two possibilities is considered and the out-of-phase case is found to exhibit an intriguing symmetry-breaking instability that can in turn lead to tunneling of the bright wavefunction between the two vortex "wells". We interpret this phenomenon by virtue of a vortex-induced double well system, whose spontaneous symmetry breaking leads to asymmetric vortex-bright dipoles, in addition to the symmetric and anti-symmetric ones. The theoretical prediction of these states is corroborated by detailed numerical computations.arXiv:1207.0386v2 [cond-mat.quant-gas] 19 Oct 2012 2

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Erratum: Stable Vortex–Bright-Soliton Structures in Two-Component Bose-Einstein Condensates [Phys. Rev. Lett.105, 160405 (2010)]

Cited by 48 publications

References 1 publication

Multiple dark-bright solitons in atomic Bose-Einstein condensates

Multiple dark-bright solitons in atomic Bose-Einstein condensates

Vector dark-antidark solitary waves in multicomponent Bose-Einstein condensates

Vortex–bright-soliton dipoles: Bifurcations, symmetry breaking, and soliton tunneling in a vortex-induced double well

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