Quantum Turbulence: Achievements and Challenges

Vinen, W. F.

doi:10.1007/s10909-010-0229-9

Cited by 65 publications

(95 citation statements)

References 69 publications

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“…The energy spectrum of fully developed QT is expected to obey the Kolmogorov law. However, the present understanding of the story is not so simple [7]. It is generally believed that there are two kinds of QT, namely quasi-classical turbulence and ultra-quantum turbulence.…”

Section: Discussionmentioning

confidence: 99%

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Quantum hydrodynamics

Tsubota¹,

Kobayashi²,

Takeuchi³

2013

Physics Reports

164

181

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Quantum hydrodynamics in superfluid helium and atomic Bose-Einstein condensates (BECs) has been recently one of the most important topics in low temperature physics. In these systems, a macroscopic wave function (order parameter) appears because of Bose-Einstein condensation, which creates quantized vortices. Turbulence consisting of quantized vortices is called quantum turbulence (QT). The study of quantized vortices and QT has increased in intensity for two reasons. The first is that recent studies of QT are considerably advanced over older studies, which were chiefly limited to thermal counterflow in 4 He, which has no analogue with classical traditional turbulence, whereas new studies on QT are focused on a comparison between QT and classical turbulence. The second reason is the realization of atomic BECs in 1995, for which modern optical techniques enable the direct control and visualization of the condensate and can even change the interaction; such direct control is impossible in other quantum condensates like superfluid helium and superconductors. Our group has made many important theoretical and numerical contributions to the field of quantum hydrodynamics of both superfluid helium and atomic BECs. In this article, we review some of the important topics in detail. The topics of quantum hydrodynamics are diverse, so we have not attempted to cover all these topics in this article. We also ensure that the scope of this article does not overlap with our recent review article (arXiv:1004.5458), "Quantized vortices in superfluid helium and atomic Bose-Einstein condensates", and other review articles.

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Section: Discussionmentioning

confidence: 99%

“…One new direction is in the field of low temperature physics, studying superfluid helium. This field of study started with the attempt to understand the relationship between QT and CT [5,6,7]. The energy spectrum of fully developed CT is known to obey the Kolmogorov law in the inertial range.…”

Section: Introductionmentioning

confidence: 99%

Quantum hydrodynamics

Tsubota¹,

Kobayashi²,

Takeuchi³

2013

Physics Reports

164

181

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“…However, it is often assumed that hot-wires cannot work in He II. 18 Their measurement principle is based on the heat transfer enhancement when a heated wire is submitted to forced convection. In classical fluids, at length scales typical of hydrodynamic experiments, the forced convection is much more efficient than natural convection and molecular diffusion.…”

Section: Introductionmentioning

confidence: 99%

Hot-wire anemometry for superfluid turbulent coflows

Duri

Baudet

Moro

et al. 2015

Review of Scientific Instruments

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We report the first evidence of an enhancement of the heat transfer from a heated wire to an external turbulent coflow of superfluid helium. We used a standard Pt-Rh hot-wire anemometer and overheat it up to 21 K in a pressurized liquid helium turbulent round jet at temperatures between 1.9 K and 2.12 K. The null-velocity response of the sensor can be satisfactorily modeled by the counterflow mechanism, while the extra cooling produced by the forced convection is found to scale similarly as the corresponding extra cooling in classical fluids. We propose a preliminary analysis of the response of the sensor and show that-contrary to a common assumption-such sensor can be used to probe local velocity in turbulent superfluid helium. C 2015 AIP Publishing LLC. [http://dx

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“…Correlations of vortex tangles can be classified into two kinds [37]: correlated and uncorrelated tangles. In a correlated tangle, turbulent energy is concentrated in the "classical" length scale range that is larger than the intervortex distance l, where the correlated tangle exhibits a Kolmogorov spectrum.…”

Section: Signature Of Quantum Turbulencementioning

confidence: 99%

Quantized Vortices and Quantum Turbulence

Tsubota

Kasamatsu

2013

Physics of Quantum Fluids

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Abstract. We review recent important topics in quantized vortices and quantum turbulence in atomic Bose-Einstein condensates (BECs). They have previously been studied for a long time in superfluid helium. Quantum turbulence is currently one of the most important topics in low-temperature physics. Atomic BECs have two distinct advantages over liquid helium for investigating such topics: quantized vortices can be directly visualized and the interaction parameters can be controlled by the Feshbach resonance. A general introduction is followed by a description of the dynamics of quantized vortices, hydrodynamic instability, and quantum turbulence in atomic BECs. IntroductionBose-Einstein condensation is often considered to be a macroscopic quantum phenomenon because bosons occupy the same single-particle ground state below the critical temperature for Bose-Einstein condensation so that they have a macroscopic wave function (order parameter) Ψ (r, t) = |Ψ (r, t)|e iθ(r,t) that extends over the entire system. Here, the absolute squared amplitude |Ψ | 2 = n gives the condensate density and the gradient of the phase θ(r, t) gives the superfluid velocity field v s = (h/m)∇θ with boson mass m as the potential flow. Since the macroscopic wave function should be single-valued for the space coordinate r, the circulation Γ = v s · dℓ for an arbitrary closed loop in the fluid will be quantized with the quantum κ = h/m. A vortex with such quantized circulation is known as a quantized vortex. Any rotational motion of a superfluid is sustained only by quantized vortices. Hydrodynamics dominated by quantized vortices is called quantum hydrodynamics (QHD), and turbulence comprised of quantized vortices is known as quantum turbulence (QT).A quantized vortex is a stable topological defect that is a characteristic of a Bose-Einstein condensate (BEC). It differs from a vortex in a classical

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Quantum Turbulence: Achievements and Challenges

Cited by 65 publications

References 69 publications

Quantum hydrodynamics

Quantum hydrodynamics

Hot-wire anemometry for superfluid turbulent coflows

Quantized Vortices and Quantum Turbulence

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