Modelling of vorticity, sound and their interaction in two-dimensional superfluids
arXiv:1901.05167 · doi:10.1088/1367-2630/ab1bb5
Abstract
Vorticity in two-dimensional superfluids is subject to intense research efforts due to its role in quantum turbulence, dissipation and the BKT phase transition. Interaction of sound and vortices is of broad importance in Bose-Einstein condensates and superfluid helium [1-4]. However, both the modelling of the vortex flow field and of its interaction with sound are complicated hydrodynamic problems, with analytic solutions only available in special cases. In this work, we develop methods to compute both the vortex and sound flow fields in an arbitrary two-dimensional domain. Further, we analyse the dispersive interaction of vortices with sound modes in a two-dimensional superfluid and develop a model that quantifies this interaction for any vortex distribution on any two-dimensional bounded domain, possibly non-simply connected, exploiting analogies with fluid dynamics of an ideal gas and electrostatics. As an example application we use this technique to propose an experiment that should be able to unambiguously detect single circulation quanta in a helium thin film.
arXiv comment23 pages, 8 figures
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Cited by in corpus (6)
- Coherent vortex dynamics in a strongly-interacting superfluid on a silicon chip
- Observation of bistable turbulence in quasi-two-dimensional superflow
- Proposal for a quantum traveling Brillouin resonator
- Superfluid Optomechanics with Phononic Nanostructures
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