Vortex Waves in Superfluid<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi mathvariant="normal">He</mml:mi></mml:mrow><mml:mprescripts /><mml:mrow /><mml:mrow><mml:mn>4</mml:mn></mml:mrow><mml:mrow /><mml:mrow /></mml:mmultiscripts></mml:mrow></mml:math>

Ashton, R.A.; Glaberson, W. I.

doi:10.1103/physrevlett.42.1062

Cited by 59 publications

(12 citation statements)

References 9 publications

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“…Some time ago Ashton and Glaberson (1979) tested the dispersion law [Eq. (3.22)j at high frequencies where collective effects are not important; in this experiment they dealt with pure Kelvin waves in isolated vortex lines.…”

Section: 13)mentioning

confidence: 99%

Vortex oscillations and hydrodynamics of rotating superfluids

Sonin

1987

Rev. Mod. Phys.

361

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This review covers the progress in the study of vortex oscillations in rotating superfluids. The paper deals with the theory as its principal coricern, but the experimerits that one can compare with the theory considered are also discussed. Attention is focused mainly on the d'fects of crystalline order in the vorte~lattice (the Tkachenko waves especially) and on the boundary problems arising in studies of vortex oscillations in finite containers. The approach is based mostly on the continuum hydrodynamic theory dealing with dense vortex arrays, and considerable attention is devoted to discussion of this theory in order to understand better the principles upon which the obtained results rest. The theory is traced from the simple description of a rotating classical fluid with continuous vorticity, through that of a perfect fluid with quantized vorticity in the form of an array of vortex lines, then the two-fluid theory of an isotropic superfluid, and finally the theory of rotating anisotropic superfluids such as He-A. Applications of the theory to He II, the superfluid phases of He, and the superfluid neutron matter in pulsars are discussed. CONTENTS

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Section: 13)mentioning

confidence: 99%

Vortex oscillations and hydrodynamics of rotating superfluids

Sonin

1987

Rev. Mod. Phys.

361

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“…In superfluids these vortices differ from their classical counterparts by having quantized circulation and a single line of vorticity (a vortex line) associated with them [2]. A quantised vortex line, in analogy with a classical vortex, supports Kelvin waves [2][3][4][5][6][7][8][9][10][11]. The first experimental investigations of Kelvin waves, in a superfluid, were in carried out in cryogenically cooled helium [2][3][4]6].…”

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confidence: 99%

Vibrations of a columnar vortex in a trapped Bose-Einstein condensate

2013

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We derive a governing equation for a Kelvin wave supported on a vortex line in a Bose-Einstein condensate, in a rotating cylindrically symmetric parabolic trap. From this solution the Kelvin wave dispersion relation is determined. In the limit of an oblate trap and in the absence of longitudinal trapping our results are consistent with previous work. We show that the derived Kelvin wave dispersion in the general case is in quantitative agreement with numerical calculations of the Bogoliubov spectrum and offer a significant improvement upon previous analytical work.

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“…Pitaevskii predicted similar vortex excitation modes to exist in superfluids [2]. Kelvin waves of quantized vortices have been observed both in superfluid helium [3] and in trapped atomic Bose-Einstein condensates [4]. However, measurement of the long-wavelength superfluid kelvon dispersion relation remains an experimental challenge.…”

Section: Introductionmentioning

confidence: 99%

Collective dynamics of vortices in trapped Bose-Einstein condensates

Simula

2013

Phys. Rev. A

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We have calculated collective mode spectra for three-dimensional, rotating Bose-Einstein condensates in oblate harmonic traps using the microscopic Bogoliubov-deGennes field theory. For condensates with Nv vortices, Nv Kelvin-Tkachenko mode branches are obtained. The features of these modes are compared with those predicted by a classical point vortex model. We have created movies to visualize the motion of the vortices corresponding to the Kelvin-Tkachenko waves.

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Vortex Waves in SuperfluidHe4

Cited by 59 publications

References 9 publications

Vortex oscillations and hydrodynamics of rotating superfluids

Vortex oscillations and hydrodynamics of rotating superfluids

Vibrations of a columnar vortex in a trapped Bose-Einstein condensate

Collective dynamics of vortices in trapped Bose-Einstein condensates

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