# 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

- Physics
- 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…

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