Kelvin Waves of Quantized Vortex Lines in Trapped Bose-Einstein Condensates
arXiv:0803.2574 · doi:10.1103/PhysRevLett.101.020402
Abstract
We have theoretically investigated Kelvin waves of quantized vortex lines in trapped Bose-Einstein condensates. Counterrotating perturbation induces an elliptical instability to the initially straight vortex line, driven by a parametric resonance between a quadrupole mode and a pair of Kelvin modes of opposite momenta. Subsequently, Kelvin waves rapidly decay to longer wavelengths emitting sound waves in the process. We present a modified Kelvin wave dispersion relation for trapped superfluids and propose a simple method to excite Kelvin waves of specific wave number.
4 pages, 4 figures, title changed, minor revisions
References in corpus (23)
- Stationary states of a rotating Bose-Einstein condensate: routes to vortex nucleation
- Dynamic instability of a rotating Bose-Einstein condensate
- Observation of Tkachenko Oscillations in Rapidly Rotating Bose-Einstein Condensates
- Kelvin Wave Cascade and Decay of Superfluid Turbulence
- Dynamics of a single vortex line in a Bose-Einstein condensate
- Dissipation of Quantum Turbulence in the Zero Temperature Limit
- A Kelvin-wave cascade on a vortex in superfluid He at a very low temperature
- Quadrupole Oscillation of a Single-Vortex Condensate: Evidence for Kelvin Modes
- The nucleation, growth and stabilization of vortex lattices
- Tkachenko modes of vortex lattices in rapidly rotating Bose-Einstein condensates
- Anomalous modes drive vortex dynamics in confined Bose-Einstein condensates
- Kolmogorov and Kelvin-Wave Cascades of Superfluid Turbulence at T=0: What is in Between?
- Stability of multiquantum vortices in dilute Bose-Einstein condensates
- Instability of Non-vortex State toward a Quantized Vortex in Bose-Einstein Condensate under External Rotation
- Collective Oscillations of Vortex Lattices in Rotating Bose-Einstein Condensates
- Tkachenko waves in rapidly rotating Bose-Einstein condensates
- Kelvin mode of a vortex in a nonuniform Bose-Einstein condensate
- Giant Vortex Lattice Deformations in Rapidly Rotating Bose-Einstein Condensates
- Beliaev Damping and Kelvin Mode Spectroscopy of a Condensate in the Presence of a Vortex Line
- Vortex--Phonon Interaction
- Angular momentum exchange between coherent light and matter fields
- Surface modes and vortex formation in dilute Bose-Einstein condensates at finite temperatures
- Quantum theory of a vortex line in an optical lattice
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- A Tale of Two Distributions: From Few To Many Vortices In Quasi-Two-Dimensional Bose-Einstein Condensates
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- Kelvin-Tkachenko waves of few-vortex arrays in trapped Bose-Einstein condensates
- Collective dynamics of vortices in trapped Bose-Einstein condensates
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- Reservoir interactions of a vortex in a trapped 3D Bose-Einstein condensate
- Excitations of a vortex line in an elongated dipolar condensate
- Collective modes and generation of a new vortex in a trapped Bose gas at finite temperature
- Kelvin modes as Nambu-Goldstone modes along superfluid vortices and relativistic strings: finite volume size effects
- Coherent cross-talk and parametric driving of matter-wave vortices
- Non-Abelian Quasi-Gapless Modes Localized on Mass Vortices in Superfluid 3He-B
- Spontaneous Radiation and Amplification of Kelvin Waves on Quantized Vortices in Bose-Einstein Condensates
- Helical spin textures in dipolar Bose-Einstein condensates
- Hamiltonian dynamics of two same-sign point vortices
- Perturbative behaviour of a vortex in a trapped Bose-Einstein condensate
- Vibrations of a Columnar Vortex in a Trapped Bose-Einstein Condensate
- Vortex Turbulence in Linear Schroedinger Wave Mechanics
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- Stationary states, dynamical stability, and vorticity of Bose-Einstein condensates in tilted rotating harmonic traps
- Kelvin waves in nonequilibrium universal dynamics of relativistic scalar field theories
- Dispersion relations and self-localization of quasiparticles in coupled elongated Bose-Einstein condensates
- Parametric oscillations in a dissipative bosonic Josephson junction
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- Two-dimensional Schrödinger symmetry and three-dimensional breathers and Kelvin-ripple complexes as quasi-massive-Nambu-Goldstone modes
- Torquing the Condensate: Angular Momentum Transport in Bose-Einstein Condensates by Solitonic "Corkscrew"
- Coherence simplices
- Kelvin wave in miscible two-component Bose-Einstein condensates
- Low energy dynamics of gapless and quasi-gapless modes of vortices in superfluid He-B
- Gapless excitations of axially symmetric vortices in systems with tensorial order parameter