# Non-Hamiltonian Kelvin wave generation on vortices in Bose-Einstein condensates

@article{Strong2018NonHamiltonianKW, title={Non-Hamiltonian Kelvin wave generation on vortices in Bose-Einstein condensates}, author={Scott A. Strong and Lincoln D. Carr}, journal={arXiv: Quantum Gases}, year={2018} }

Ultra-cold quantum turbulence is expected to decay through a cascade of Kelvin waves. These helical excitations couple vorticity to the quantum fluid causing long wavelength phonon fluctuations in a Bose-Einstein condensate. This interaction is hypothesized to be the route to relaxation for turbulent tangles in quantum hydrodynamics. The local induction approximation is the lowest order approximation to the Biot-Savart velocity field induced by a vortex line and, because of its integrability…

## One Citation

Geometric Quantum Hydrodynamics and Bose-Einstein Condensates: Non-Hamiltonian Evolution of Vortex Lines

- 2018

Geometric quantum hydrodynamics merges geometric hydrodynamics with quantum hydrodynamics to study the geometric properties of vortex structures in superfluid states of matter. Here the vortex line…

## References

SHOWING 1-10 OF 71 REFERENCES

Non-Hamiltonian Dynamics of Quantized Vortices in Bose-Einstein Condensates

- Physics, Mathematics
- 2017

The dynamics of quantized vortices in weakly interacting superfluids are often modeled by a nonlinear Schr\"odinger equation. In contrast, we show that quantized vortices in fact obey a…

Breathers on quantized superfluid vortices.

- Physics, MedicinePhysical review letters
- 2013

Although the breather solutions studied are exact solutions of the LIA equations, it is demonstrated through full numerical simulations that their key emergent attributes carry over to vortex dynamics governed by the Biot-Savart law and to quantized vortices described by the Gross-Pitaevskii equation.

The Biot–Savart description of Kelvin waves on a quantum vortex filament in the presence of mutual friction and a driving fluid

- Physics
- 2015

We study the dynamics of Kelvin waves along a quantum vortex filament in the presence of mutual friction and a driving fluid while taking into account non-local effects due to Biot–Savart integrals.…

Modeling Kelvin Wave Cascades in Superfluid Helium

- Physics
- 2009

We study two different types of simplified models for Kelvin wave turbulence on quantized vortex lines in superfluids near zero temperature. Our first model is obtained from a truncated expansion of…

Dynamics of a vortex in a trapped Bose-Einstein condensate

- Physics
- 2000

We consider a large condensate in a rotating anisotropic harmonic trap. Using the method of matched asymptotic expansions, we derive the velocity of an element of vortex line as a function of the…

Generalized local induction equation, elliptic asymptotics, and simulating superfluid turbulence

- Physics, Mathematics
- 2012

We prove the generalized induction equation and the generalized local induction equation (GLIE), which replaces the commonly used local induction approximation (LIA) to simulate the dynamics of…

Direct observation of Kelvin waves excited by quantized vortex reconnection

- Physics, MedicineProceedings of the National Academy of Sciences
- 2014

By visualizing the motion of submicron particles dispersed in superfluid 4He, this work has directly observed the emission of Kelvin waves from quantized vortex reconnection.

Motion of isolated open vortex filaments evolving under the truncated local induction approximation

- Physics
- 2017

The study of nonlinear waves along open vortex filaments continues to be an area of active research. While the local induction approximation (LIA) is attractive due to locality compared with the…

Interaction of Kelvin waves and nonlocality of energy transfer in superfluids

- Physics
- 2010

We argue that the physics of interacting Kelvin Waves (KWs) is highly nontrivial and cannot be understood on the basis of pure dimensional reasoning. A consistent theory of KW turbulence in…

Self-stretching of perturbed vortex filaments: II. structure of solutions

- Mathematics
- 1991

Abstract Recently, the authors have derived a new asymptotic equation for the evolution of small amplitude, short wavelength perturbations of slender vortex filaments which differs significantly from…