Countersuperflow instability in miscible two-component Bose-Einstein condensates

Ishino, Shungo; Tsubota, Makoto; Takeuchi, Hiromitsu

doi:10.1103/physreva.83.063602

Cited by 55 publications

(84 citation statements)

References 23 publications

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“…The next subsection is devoted to introducing the hydrodynamic formalism for two-component BECs to make it easier to understand the subsequent subsections. Then we develop the discussion into concrete problems, countersuperflow instability [174,175] and quantum Kelvin-Helmholtz instability [162,176], which are the most fundamental hydrodynamic instabilities in two-component BECs.…”

Section: Hydrodynamic Instabilities In Superfluid Systemsmentioning

confidence: 99%

Quantum hydrodynamics

Tsubota¹,

Kobayashi²,

Takeuchi³

2013

Physics Reports

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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: Hydrodynamic Instabilities In Superfluid Systemsmentioning

confidence: 99%

Quantum hydrodynamics

Tsubota¹,

Kobayashi²,

Takeuchi³

2013

Physics Reports

Self Cite

164

181

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“…In this turbulence, not only the velocity field but also the spin density vector field is disturbed, so we call it spin turbulence. Though QT in the binary [151,152,153,154,155,156,157] and spin-2 spinor BECs [136,158] have been studied, we do not address these in this review.…”

Section: Theoretical Studies Of Turbulence In Spinor Becsmentioning

confidence: 99%

“…Recently, studies of QT in this system have been carried out [136,151,152,153,154,155,156,157,158], in which correlation functions for the velocity field and spin density vector were investigated and some power laws were reported. However, these address binary QT in limited parameter regions, and QT in a mass imbalance system or QT with spin-orbit coupling have never been investigated.…”

Section: Qt In a Binary Becmentioning

confidence: 99%

Numerical Studies of Quantum Turbulence

2017

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We review numerical studies of quantum turbulence. Quantum turbulence is currently one of the most important problems in low temperature physics and is actively studied for superfluid helium and atomic Bose-Einstein condensates. A key aspect of quantum turbulence is the dynamics of condensates and quantized vortices. The dynamics of quantized vortices in superfluid helium are described by the vortex filament model, while the dynamics of condensates are described by the Gross-Pitaevskii model. Both of these models are nonlinear, and the quantum turbulent states of interest are far from equilibrium. Hence, numerical studies have been indispensable for studying quantum turbulence. In fact, numerical studies have contributed in revealing the various problems of quantum turbulence. This article reviews the recent developments in numerical studies of quantum turbulence. We start with the motivation and the basics of quantum turbulence and invite readers to the frontier of this research. Though there are many important topics in the quantum turbulence of superfluid helium, this article focuses on inhomogeneous quantum turbulence in a channel, which has been motivated by recent visualization experiments. Atomic Bose-Einstein condensates are a modern issue in quantum turbulence, and this article reviews a variety of topics in the quantum turbulence of condensates e.g. two-dimensional quantum turbulence, weak wave turbulence, turbulence in a spinor condensate, etc., some of which has not been addressed in superfluid helium and paves the novel way for quantum turbulence researches. Finally we discuss open problems.

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“…For real frequencies, both modes are gapless and sound-like at low k, and are characterized by the density and the spin speeds of sound. The full spectrum of (8) has been solved in several references [21][22][23][24], with different scopes, and the general expression is cumbersome.…”

Section: A Bogoliubov Excitations In Uniform Mediummentioning

confidence: 99%

Persistent currents in two-component condensates in a toroidal trap

et al. 2014

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The stability of persistent currents in a two-component Bose-Einstein condensate in a toroidal trap is studied both in the miscible and immiscible regimes. In the miscible regime we show that superflow decay is related to linear instabilities of the spin-density Bogoliubov mode. We find a region of partial stability, where the flow is stable in the majority component while it decays in the minority component. We also characterize the dynamical instability appearing for a large relative velocity between the two components. In the immiscible regime the stability criterion is modified and depends on the specific density distribution of the two components. The effect of a coherent coupling between the two components is also discussed.

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Countersuperflow instability in miscible two-component Bose-Einstein condensates

Cited by 55 publications

References 23 publications

Quantum hydrodynamics

Quantum hydrodynamics

Numerical Studies of Quantum Turbulence

Persistent currents in two-component condensates in a toroidal trap

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