Quantized vortices in a rotating Bose-Einstein condensate with spatiotemporally modulated interaction

Wang, Deng‐Shan; Song, Shu-Wei; Xiong, Bo; Liu, W. M.

doi:10.1103/physreva.84.053607

Cited by 81 publications

(36 citation statements)

References 63 publications

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“…Such initial wave functions are widely used for the study of singly, doubly, or multiply quantized vortices [11,22,52]. As bases of the present work, the exact stationary solutions of ring vortex solitons with topological phases have been proposed in the nonrotating [28] and rotating BEC framework [29]. It is shown that when the initial state is the exact stationary solutions with topological charge, the stability and the number of vortices are almost the same for both rotating and nonrotating BECs.…”

Section: Discussionmentioning

confidence: 86%

“…The radial excited state is of multiple concentric density-wave rings, i.e., n 2, and here we call it the multiple ring vortex soliton (MRVS). The one-dimensional (1D) and 2D solutions of the MRVS are also proposed for a specific, spatially modulated nonlinearity [27][28][29]. In experiments, the ringlike excitations have been observed in the hyperfine states |F = 1,m f = −1 and |F = 2,m f = +1 of 87 Rb under a rotating cylindrical magnetic trap [8].…”

Section: Introductionmentioning

confidence: 98%

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Three-dimensional ring vortex solitons and their stabilities in Bose-Einstein condensates under magnetic confinement

Wang

et al. 2012

Phys. Rev. A

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A three-dimensional study of the ring vortex solitons is conducted for both attractive and repulsive Bose-Einstein condensates subject to harmonic potential confinement. A family of stationary ring vortex solitons, which is defined by the radial excitation number and the winding number of the intrinsic vorticity, are obtained numerically for a given atomic interaction strength. We find that stabilities of the ground and radially excited states of the ring vortex soliton are dependent on the winding number differently. The ground state of the ring vortex soliton with the large winding number is unstable dynamically against random perturbation. The radially excited state of the ring vortex soliton with large winding number corresponds to the increased collapse threshold and therefore can be made stable for sufficiently small atomic interaction strengths. The ground and radially excited states also demonstrate different dynamic evolutions under large atomic interaction strengths. The former exhibits simultaneous symmetric splitting in the transverse plane, while the latter displays periodic expand-merge cycles in the longitudinal direction.

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Section: Discussionmentioning

confidence: 86%

Section: Introductionmentioning

confidence: 98%

Three-dimensional ring vortex solitons and their stabilities in Bose-Einstein condensates under magnetic confinement

Wang

et al. 2012

Phys. Rev. A

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“…For the case of = 2 we demonstrate some novel nonlinear structures by choosing the arbitrary function ( 1 + 2 + 0 + 3 ) specially. The separation transformation method may also be useful to solve other nonlinear wave models to explain the nonlinear excitations and localized nonlinear wave structures [19][20][21][22][23] in the physics of elementary particles and fields.…”

Section: Resultsmentioning

confidence: 99%

Separation Transformation and a Class of Exact Solutions to the Higher-Dimensional Klein-Gordon-Zakharov Equation

Chen

Liu

Liu³

2014

Advances in Mathematical Physics

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The separation transformation method is extended to then+1-dimensional Klein-Gordon-Zakharov equation describing the interaction of the Langmuir wave and the ion acoustic wave in plasma. We first reduce then+1-dimensional Klein-Gordon-Zakharov equation to a set of partial differential equations and two nonlinear ordinary differential equations of the separation variables. Then the general solutions of the set of partial differential equations are given and the two nonlinear ordinary differential equations are solved by extendedF-expansion method. Finally, some new exact solutions of then+1-dimensional Klein-Gordon-Zakharov equation are proposed explicitly by combining the separation transformation with the exact solutions of the separation variables. It is shown that, for the case ofn≥2, there is an arbitrary function in every exact solution, which may reveal more nontrivial nonlinear structures in the high-dimensional Klein-Gordon-Zakharov equation.

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“…Here, the system can be reduced to quasi-two-dimensional by considering a very strong confinement along z axis, i.e. ÿω z being much larger than any other energy scale [42][43][44][45][46], which is easily realized in the experiments, e.g. the experiments of Kwon et al [20][21][22][23].…”

Section: Formulation Of the Problemmentioning

confidence: 99%

Kármán vortex street in a two-component Bose–Einstein condensate

Xiao-hui

Tang

et al. 2019

New J. Phys.

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Vortex shedding from a moving obstacle potential in a two-component Bose-Einstein condensate is investigated numerically. For a miscible two-component condensate composed of 23 Na and 87 Rb atoms, in the wake of obstacle, the Kármán vortex street is discovered in one component, while the Kármán-like vortex street named 'half-quantum vortex street' is formed in another component. The other patterns of vortex shedding, such as the vortex dipoles, V-shaped vortex pairs and corresponding 'half-quantum vortex shedding', can also be found. The drag force acting on obstacle potential is calculated and discussed. The parameter region for various vortex patterns and critical velocity for vortex emission are presented. In addition, a 85 Rb-87 Rb mixture is also considered, where the Kármán vortex street and other typical patterns exist in both components. Finally, we provide an experimental protocol for the above realization and observation.

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Quantized vortices in a rotating Bose-Einstein condensate with spatiotemporally modulated interaction

Cited by 81 publications

References 63 publications

Three-dimensional ring vortex solitons and their stabilities in Bose-Einstein condensates under magnetic confinement

Three-dimensional ring vortex solitons and their stabilities in Bose-Einstein condensates under magnetic confinement

Separation Transformation and a Class of Exact Solutions to the Higher-Dimensional Klein-Gordon-Zakharov Equation

Kármán vortex street in a two-component Bose–Einstein condensate

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