Turbulence and Bose Condensation - Institut für Theoretische ...

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An Introduction to Superfluidity and Quantum Turbulence William (Joe) Vinen School of Physics and Astronomy, University of Birmingham, Birmingham B15 2TT, United Kingdom Superfluids, formed in the liquid phases of the isotopes of helium and in very cold gases, are characterised by the presence of a coherent particle field, associated with Bose or BCS condensation, the behaviour of which is described in weakly interacting systems by a non-linear Schrodinger equation. As a result there are interesting links with other systems. Simple superfluids display two-fluid effects, a normal fluid coexisting with a superfluid component. Flow of the superfluid component is constrained by the phase coherence of the particle field, so that only irrotational flow is possible, with a quantized circulation and quantized vortex filaments. The quantised vortex filaments allow forms of turbulence in the superfluid component. Some of these forms have features that are similar to those encountered in classical viscous fluids; others are quite different, allowing, for example, turbulence in a fluid in which there is no viscous dissipation or in which either both fluids or two co-existing superfluids are involved. 10
Quantum Vortices and Their Reconnections Carlo Barenghi School of Mathematics and Statistics, Newcastle University, Herschel Building, Newcastle upon Tyne NE1 7RU, United Kingdom In superfluid helium and atomic Bose-Einstein condensates, any rotational motion is strongly affected by quantum mechanical constrains; the vorticity, which in ordinary fluids is a smooth, continuous field, takes the form of discrete vortex filaments. I shall describe recent results in the study of vortex reconnections and turbulence, paying particular attention to the comparison between quantum and ordinary turbulence, and finite temperature effects in atomic condensates. Quantum hydrodynamics and turbulence in Bose-Einstein Condensates Makoto Tsubota Department of Physics, Osaka City University, Sugimoto 3-3-138, Sumiyoshi-ku 558-8585, Japan Quantum hydrodynamics and turbulence have been studied in the field of superfluid helium, while it is currently studied in atomic Bose-Einstein condensates (BECs). A general introduction to this issue and a brief review of the basic concepts are followed by the recent developments in these topics. We will discuss quantum turbulence in two-component BECs, and spin turbulence in spinor BECs etc. 11
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Page 26 and 27: Wave Turbulence in BEC Sergey Nazar
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