Bound vortex states and exotic lattices in multicomponent Bose-Einstein condensates: The role of vortex-vortex interaction

Dantas, David S.; Lima, Aristeu R. P.; Chaves, Andrey; Almeida, C. A. S.; Farias, G. A.; Miloševıć, M. V.

doi:10.1103/physreva.91.023630

Cited by 20 publications

(12 citation statements)

References 53 publications

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“…and this is indeed the case Alama and Gao discuss. It is noted that the potential V ansatz is monotonous about distance between two-vortex configuration [23,27]. However, in the case of 1VEV, (1, 0) is of importance because that it is the global minimum.…”

Section: Model and Main Resultsmentioning

confidence: 99%

Existence of global vortices in a class of Ginzburg-Landau models

Han¹,

Zhang²

2021

Preprint

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In this paper, the two-component Ginzburg-Landau (TCGL) model, which is an important research object in mathematics and physics of two scalar fields with U(1) × U(1) symmetry, is studied in detail by the shooting method and the fixed point theorem, which contains two cases: single vacuum expectation value (1VEV) and two vacuum expectation values (2VEV). This represents two different physical states: superconductivity-normal state and superconductivitysuperconductivity state, and we prove the existence, uniqueness, asymptotic properties and quantization of the solutions to these two boundary value problems.

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Section: Model and Main Resultsmentioning

confidence: 99%

Existence of global vortices in a class of Ginzburg-Landau models

Han¹,

Zhang²

2021

Preprint

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“…Such fractional vortex molecules have been extensively studied theoretically [9][10][11][12][13][14][15][16][17], including sine-Gordon like solitons [18][19][20][21]. Moreover, such studies have been extended to three or more components [22][23][24][25][26][27] as well as spinor BECs [28]. Similarities with QCD were found by studying the dynamics of a single vortex molecule composed of two fractional vortices [14,16], for which a vortex in the first component and that in the second component are confined by a sine-Gordon soliton.…”

Section: Introductionmentioning

confidence: 92%

Collision dynamics and reactions of fractional vortex molecules in coherently coupled Bose-Einstein condensates

Eto

Ikeno²,

Nitta

2020

Phys. Rev. Research

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Coherently coupled two-component Bose-Einstein condensates (BEC) exhibit vortex confinement resembling quark confinement in quantum chromodynamics (QCD). Fractionally quantized vortices winding only in one of two components are attached by solitons, and they cannot stably exist alone. Possible stable states are "hadrons" either of mesonic type, i.e., molecules made of a vortex and antivortex in the same component connected by a soliton, or of baryonic type, i.e., molecules made of two vortices winding in two different components connected by a soliton. Mesonic molecules move straight with a constant velocity while baryonic molecules rotate. We numerically simulate collision dynamics of mesonic and baryonic molecules and find that the molecules swap partners in collisions in general like chemical and nuclear reactions, as well as summarizing all collisions as vortex reactions, and describe those by Feynman diagrams. We find a selection rule for final states after collisions of vortex molecules, analogous to that for collisions of hadrons in QCD.

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“…In this case, the repulsive intercomponent interaction γ > 0 prevents the shrink of the wall. In equilibrium, the balance of the repulsive vortex-vortex interaction [36] and the attractive force by the Rabi coupling realizes the stable vortex molecule [13,26,27,29,32].…”

Section: A Domain Wall In a Uniform Systemmentioning

confidence: 99%

“…Son and Stephanov proposed that, when vortices are present in two-component BECs, the Rabi coupling can bind a pair of vortices in the different components via the sine-Gordon domain wall. After that the binding of vortices and composite structures of the resulting vortex molecules have been studied in various situations [14][15][16][25][26][27][28][29][30][31][32].…”

Section: Transverse Instability Of Domain Wall Of Relative Phasementioning

confidence: 99%

Transverse instability and disintegration of a domain wall of a relative phase in coherently coupled two-component Bose-Einstein condensates

Ihara

Kasamatsu

2019

Phys. Rev. A

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We study transverse instability and disintegration dynamics of a domain wall of a relative phase in two-component Bose-Einstein condensates with a coherent Rabi coupling. We obtain analytically the stability phase diagram of the stationary solution of the domain wall for the one-dimensional coupled Gross-Pitaevskii equations in the plane of the Rabi frequency and the intercomponent coupling constant. Outside the stable region, the domain wall is dynamically unstable for the transverse modulation along the direction perpendicular to the phase kink. The nonlinear evolution associated with the instability is demonstrated through numerical simulations for both the domain wall without edges and that with edges formed by the quantized vortices.

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Bound vortex states and exotic lattices in multicomponent Bose-Einstein condensates: The role of vortex-vortex interaction

Cited by 20 publications

References 53 publications

Existence of global vortices in a class of Ginzburg-Landau models

Existence of global vortices in a class of Ginzburg-Landau models

Collision dynamics and reactions of fractional vortex molecules in coherently coupled Bose-Einstein condensates

Transverse instability and disintegration of a domain wall of a relative phase in coherently coupled two-component Bose-Einstein condensates

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