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

Charalampidis, E. G.; Wang, Wenlong; Kevrekidis, P. G.; Frantzeskakis, D. J.; Cuevas–Maraver, Jesús

doi:10.1103/physreva.93.063623

Cited by 39 publications

(39 citation statements)

References 45 publications

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“…These complementarities are reminiscent of the vortex-vortex states and their SU(2) rotations considered earlier in Ref. [52]. All of the obtained AR solutions for the different parameters considered (variations of the chemical potential and trapping strengths), including the second AR branch (see below), display this general structure.…”

Section: A Steady Statessupporting

confidence: 68%

Existence, Stability and Dynamics of Monopole and Alice Ring Solutions in Anti-Ferromagnetic Spinor Condensates

Mithun,

Carretero-González,

Charalampidis

et al. 2021

Preprint

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In this work we study the existence, stability, and dynamics of select topological point and line defects in anti-ferromagnetic, polar phase, F = 1 23 Na spinor condensates. Specifically, we leverage fixed-point and numerical continuation techniques in three spatial dimensions to identify solution families of monopole and Alice rings as the chemical potential (number of atoms) and trapping strengths are varied within intervals of realizable experimental parameters. We are able to follow the monopole from the linear limit of small atom number all the way to the Thomas-Fermi regime of large atom number. Additionally, and importantly, our studies reveal the existence of two Alice ring solution branches, corresponding to, relatively, smaller and larger ring radii, that bifurcate from each other in a saddle-center bifurcation as the chemical potential is varied. We find that the monopole solution is always dynamically unstable in the regimes considered. In contrast, we find that the larger Alice ring is indeed stable close to the bifurcation point until it destabilizes from an oscillatory instability bubble for a larger value of the chemical potential. We also report on the possibility of dramatically reducing, yet not completely eliminating, the instability rates for the smaller Alice ring by varying the trapping strengths. The dynamical evolution of the different unstable waveforms is also probed via direct numerical simulations.

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Section: A Steady Statessupporting

confidence: 68%

Existence, Stability and Dynamics of Monopole and Alice Ring Solutions in Anti-Ferromagnetic Spinor Condensates

Mithun,

Carretero-González,

Charalampidis

et al. 2021

Preprint

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“…From an experimental perspective, it would be particularly interesting to explore the possibility to form such states in both two-and three-dimensions. In the latter setting of 3d, computations would also be especially useful in elucidating such states: recently, vortex-line-bright and vortex-ring-bright [43] states have been identified, and their generalization to antidark ones would be quite relevant, as well as the study of their stability. From a theoretical perspective, it would also be quite intriguing to explore further the "particle description" of such entities, both at the level of the single particle (e.g.…”

Section: Discussionmentioning

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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“…where f + a 2 denotes the amplitude of plane wave background for dark soliton component. The beating period is obviously determined by the chemical potential difference for solitons [21]. The beating behaviors are distinctive for attractive and repulsive interactions cases.…”

Section: Modelmentioning

confidence: 99%

“…All those previous reported solitons are stable and have no beating effects, but some of them can be used to generate beating solitons. For example, beating dark solitons were shown to exist in the two-component coupled BEC with equal inter and intra-species repulsive interactions [19][20][21], which were generated from the dark-bright soliton with the SU (2) symmetry property [22]. Based on abundant vector solitons for more components cases, it is naturally expected that there should be more exotic beating patterns for more components coupled BEC systems.…”

Section: Introductionmentioning

confidence: 99%

Beating effects of vector solitons in Bose-Einstein condensates

Zhao¹

2018

Phys. Rev. E

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We study the beating effects of solitons in multicomponent coupled Bose-Einstein condensate systems. Our analysis indicates that the period of beating behavior is determined by the energy eigenvalue difference in the effective quantum well induced by solitons, and the beating pattern is determined by the eigenstates of a quantum well, which are involved in the beating behavior. We show that the beating solitons correspond to linear superpositions of eigenstates in some quantum wells, and the correspondence relations are identical for solitons in both an attractive interaction and a repulsive interaction condensate. This provides a possible way to understand the beating effects of solitons for attractive and repulsive interaction cases in a unified way, based on the knowledge of quantum eigenstates. Moreover, our results demonstrate many different beating patterns for solitons in multicomponent coupled condensates, in sharp contrast to the beating dark soliton reported before. The beating behavior can be used to test the eigenvalue differences in certain quantum wells, and more abundant beating patterns are expected to exist in more component-coupled systems.

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

Cited by 39 publications

References 45 publications

Existence, Stability and Dynamics of Monopole and Alice Ring Solutions in Anti-Ferromagnetic Spinor Condensates

Existence, Stability and Dynamics of Monopole and Alice Ring Solutions in Anti-Ferromagnetic Spinor Condensates

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

Beating effects of vector solitons in Bose-Einstein condensates

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