Penetration of a vortex dipole across an interface of Bose-Einstein condensates

Aioi, Tomohiko; Kadokura, Tsuyoshi; Saito, Hiroki

doi:10.1103/physreva.85.023618

Cited by 17 publications

(21 citation statements)

References 22 publications

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“…Advances in spatiotemporal optical trap control in BECs [27][28][29] now enable a broad range of superfluid dynamics experiments, and the possibility of studying detailed vortex motion is increasingly within reach of current technology. In recent numerical work [30], it was shown that a vortex dipole at sufficiently high velocity could cross an interface in an immiscible two-component BEC. At lower velocities, the dipole either disappeared or disintegrated, with the remnants moving along the interface.…”

Section: Introductionmentioning

confidence: 99%

Snell's Law for a vortex dipole in a Bose-Einstein condensate

Cawte

Anderson

et al. 2019

SciPost Phys.

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A quantum vortex dipole, comprised of a closely bound pair of vortices of equal strength with opposite circulation, is a spatially localized travelling excitation of a planar superfluid that carries linear momentum, suggesting a possible analogy with ray optics. We investigate numerically and analytically the motion of a quantum vortex dipole incident upon a step-change in the background superfluid density of an otherwise uniform two-dimensional Bose-Einstein condensate. Due to the conservation of fluid momentum and energy, the incident and refracted angles of the dipole satisfy a relation analogous to Snell's law, when crossing the interface between regions of different density. The predictions of the analogue Snell's law relation are confirmed for a wide range of incident angles by systematic numerical simulations of the Gross-Piteavskii equation. Near the critical angle for total internal reflection, we identify a regime of anomalous Snell's law behaviour where the finite size of the dipole causes transient capture by the interface. Remarkably, despite the extra complexity of the interface interaction, the incoming and outgoing dipole paths obey Snell's law.Contents arXiv:1811.02110v5 [cond-mat.quant-gas]

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Section: Introductionmentioning

confidence: 99%

Snell's Law for a vortex dipole in a Bose-Einstein condensate

Cawte

Anderson

et al. 2019

SciPost Phys.

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“…The parameters corresponding to figure 8 can be taken as m 1 =1.42×10 −25 kg, m 2 =1.45×10 −25 kg, μ m =1.02, N 1 ≈3.28×10 6 , N 2 ≈3.27×10 6 , n 0 =50, ω 0 =2π×2 Hz, a 0 =7.70 μm, V 0 =1.32× 10 −31 J, (x 0 , y 0 )=(0.98,0) mm, d=7.70 μm, 0.068 mm s 1 u = -, a 11 ≈99.24a B ≈5.25 nm, a 22 » a 100. 40 5.31 nm B » , and a a a 89.58 4.74 nm 12…”

Section: Vortex Shedding From the Obstaclementioning

confidence: 99%

“…In component 2, it is significant that the two point quantized vortices in a pair, which shed from the moving obstacle potential at a time, have the same circulation. The quantized vortex is the topological defect of order parameter and the circulation is quantized to h/m j [9,40] with h being the Planck's constant. Here, the symbols + and − denote the clockwise and counterclockwise circulations of quantized vortices.…”

Section: Vortex Shedding From the Obstaclementioning

confidence: 99%

“…Especially, the quantized vortices have been created and studied [32][33][34][35][36][37][38][39]. For instance, a vortex dipole can not only penetrate the interface between the two components, but also disappear or disintegrate at the interface, depending on its velocity and the interaction parameters [40]. However, as far as we know, there has been little work on studying the vortex shedding from a moving obstacle in a twocomponent BEC.…”

Section: Introductionmentioning

confidence: 99%

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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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“…We create a vortex dipole on one side of the magnetic regions, and it moves toward the phase boundary. When a vortex dipole has a sufficiently large velocity, it can penetrate the phase boundary [22]. Passing through the phase boundary, the vortices experience a change in the magnetic phase, and consequently, the topological properties of the vortices are forced to change.…”

Section: Introductionmentioning

confidence: 99%

Dynamics of a vortex dipole across a magnetic phase boundary in a spinor Bose-Einstein condensate

Kaneda

Saito

2014

Phys. Rev. A

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Dynamics of a vortex dipole in a spin-1 Bose-Einstein condensate in which magnetic phases are spatially distributed is investigated. When a vortex dipole travels from the ferromagnetic phase to the polar phase, or vice versa, it penetrates the phase boundary and transforms into one of the various spin vortex dipoles, such as a leapfrogging ferromagnetic-core vortex dipole and a halfquantum vortex dipole. Topological connections of spin wave functions across the phase boundary are discussed.

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Penetration of a vortex dipole across an interface of Bose-Einstein condensates

Cited by 17 publications

References 22 publications

Snell's Law for a vortex dipole in a Bose-Einstein condensate

Snell's Law for a vortex dipole in a Bose-Einstein condensate

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

Dynamics of a vortex dipole across a magnetic phase boundary in a spinor Bose-Einstein condensate

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