Dynamics of quantized vortices in rotating superfluid

Tsubota, Makoto; Yoneda, Hideki

doi:10.1007/bf00753396

Cited by 15 publications

(9 citation statements)

References 5 publications

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“…5(d) and 5(e)]. As is well known in the study of rotating superfluid helium [34,35], the rotating drive pulls vortices into the rotation axis, while repulsive interaction between vortices tends to push them apart; this competition yields a vortex lattice whose vortex density depends on the rotation frequency. In the presence of dissipation, six vortices enter the condensate, eventually forming a vortex lattice.…”

Section: B Dynamics From a Non-vortex State To A Vortex Statementioning

confidence: 91%

Nonlinear dynamics of vortex lattice formation in a rotating Bose-Einstein condensate

2003

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We study the response of a trapped Bose-Einstein condensate to a sudden turn-on of a rotating drive by solving the two-dimensional Gross-Pitaevskii equation. A weakly anisotropic rotating potential excites a quadrupole shape oscillation and its time evolution is analyzed by the quasiparticle projection method. A simple recurrence oscillation of surface mode populations is broken in the quadrupole resonance region that depends on the trap anisotropy, causing stochastization of the dynamics. In the presence of the phenomenological dissipation, an initially irrotational condensate is found to undergo damped elliptic deformation followed by unstable surface ripple excitations, some of which develop into quantized vortices that eventually form a lattice. Recent experimental results on the vortex nucleation should be explained not only by the dynamical instability but also by the Landau instability; the latter is necessary for the vortices to penetrate into the condensate.

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Section: B Dynamics From a Non-vortex State To A Vortex Statementioning

confidence: 91%

Nonlinear dynamics of vortex lattice formation in a rotating Bose-Einstein condensate

2003

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“…Its dynamics is driven by the rotation in the quenching process and the intrinsic spin-Hall effect derived from the effective SOC. As is well known in the study of rotating superfluid helium [41,42], the rotating drive pulls vortices into the rotation axis, while repulsive interaction tends to push them apart; this competition yields a vortex lattice whose vortex density depends on the rotation frequency. Meanwhile, SOC causes the spin separation and creates the dipole structure of spin, which is embedded in the three-vortex structure.…”

Section: The Effect Of the Rotation Frequencymentioning

confidence: 94%

Spin-orbit-coupling-induced half-skyrmion excitations in rotating and rapidly quenched spin-1 Bose-Einstein condensates

Liu

2012

Phys. Rev. A

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We investigate the half-Skyrmion excitations induced by spin-orbit coupling in the rotating and rapidly quenched spin-1 Bose-Einstein condensates. We give three expressions of the corresponding spin vectors to describe the half-Skyrmion. Our results show that the half-Skyrmion excitation depends on the combination of spin-orbit coupling and rotation, and it originates from a dipole structure of spin which is always embedded in three vortices constructed by each condensate component respectively. When both the strength of spin-orbit coupling and rotation frequency are larger than some critical values, the half-Skyrmions encircle the center with one or several circles to form a radial lattice, which occurs even in the strong ferromagnetic/antiferromagnetic condensates. We can use both the spin-orbit coupling and the rotation to adjust the radial lattice. The realization and the detection of the half-Skyrmions are compatible with current experimental technology.

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“…In order to make progress in our problem, we need to generalize this vortex dynamics approach to a rotating frame 22 . The natural way to perform the calculation in a rotating frame would require to consider a cylindrical container.…”

Section: Vortex Dynamics In a Rotating Framementioning

confidence: 99%

Instability of vortex array and transitions to turbulence in rotating helium II

et al. 2004

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We consider superfluid helium inside a container which rotates at constant angular velocity and investigate numerically the stability of the array of quantized vortices in the presence of an imposed axial counterflow. This problem was studied experimentally by Swanson et al., who reported evidence of instabilities at increasing axial flow but were not able to explain their nature. We find that Kelvin waves on individual vortices become unstable and grow in amplitude, until the amplitude of the waves becomes large enough that vortex reconnections take place and the vortex array is destabilized. The eventual nonlinear saturation of the instability consists of a turbulent tangle of quantized vortices which is strongly polarized. The computed results compare well with the experiments. Finally we suggest a theoretical explanation for the second instability which was observed at higher values of the axial flow.

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Dynamics of quantized vortices in rotating superfluid

Cited by 15 publications

References 5 publications

Nonlinear dynamics of vortex lattice formation in a rotating Bose-Einstein condensate

Nonlinear dynamics of vortex lattice formation in a rotating Bose-Einstein condensate

Spin-orbit-coupling-induced half-skyrmion excitations in rotating and rapidly quenched spin-1 Bose-Einstein condensates

Instability of vortex array and transitions to turbulence in rotating helium II

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