Turbulent superfluid as continuous vortex mixture

Yukalov, V. I.

doi:10.1002/lapl.201010009

Cited by 30 publications

(39 citation statements)

References 73 publications

(139 reference statements)

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“…The axes aspect ratio is kept essentially unchanged [5]. The tangled vortices make the whole system isotropic [18]. Combining these characteristics, we define Figure 1 (online color at www.lphys.org) Atomic optical density images of: (a) non-turbulent cloud with well-defined separate vortices and (b) turbulent cloud, where the partial absorption changes along the image due to the existence of tangled vortices.…”

Section: Experimental Observationmentioning

confidence: 99%

“…The plotted line is based on Eq. (7) considering halfway points with the same amplitude as experimental critical points is due to the instability of collective excitations arising from the energy pumped by external oscillating perturbations [18,19]. We start by noting that there should exist a certain energy amount that is necessary to pump into the superfluid atomic cloud for the vortex formation.…”

Section: Theoretical Modelmentioning

confidence: 99%

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Transition to quantum turbulence in finite-size superfluids

et al. 2011

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A novel concept of quantum turbulence in finite size superfluids, such as trapped bosonic atoms, is discussed. We have used an atomic 87 Rb Bose-Einstein condensate (BEC) to study the emergence of this phenomenon. In our experiment, the transition to the quantum turbulent regime is characterized by a tangled vortex lines formation, controlled by the amplitude and time duration of the excitation produced by an external oscillating field. A simple model is suggested to account for the experimental observations. The transition from the nonturbulent to the turbulent regime is a rather gradual crossover. But it takes place in a sharp enough way, allowing for the definition of an effective critical line separating the regimes. Quantum turbulence emerging in a finite-size superfluid may be a new idea helpful for revealing important features associated to turbulence, a more general and broad phenomenon. Amplitude versus elapsed time diagram of magnetically excited BEC superfluid, presenting the evolution from the nonturbulent regime, with well separated vortices, to the turbulent regimes, with tangled vortices

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Section: Experimental Observationmentioning

confidence: 99%

Section: Theoretical Modelmentioning

confidence: 99%

Transition to quantum turbulence in finite-size superfluids

et al. 2011

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“…The used perturbing potential does not impose a rotation axis, because of which the increasing number of vortices does not lead to the creation of a vortex lattice, but results in the formation of a random vortex tangle representing, according to Feynman [22], quantum vortex turbulence [38,39]. In this regime, the vorticity vectors are randomly oriented [44]. This regime develops, when the number of vortices N c is such that the mean distance between their surfaces becomes twice the coherence length ξ ∼ /mc, where c ∼ ( /m) √ 4πρa s is sound velocity.…”

Section: Vortex Turbulencementioning

confidence: 99%

Realization of inverse Kibble–Zurek scenario with trapped Bose gases

2015

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We show that there exists the inverse Kibble-Zurek scenario, when we start with an equilibrium system with broken symmetry and, by imposing perturbations, transform it to a strongly nonequilibrium symmetric state through the sequence of states with spontaneously arising topological defects. We demonstrate the inverse Kibble-Zurek scenario both experimentally, by perturbing the Bose-Einstein condensate of trapped 87 Rb atoms, and also by accomplishing numerical simulations for the same setup as in the experiment, the experimental and numerical results being in good agreement with each other.

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“…Besides its theoretical significance, our result has potential applications in the field of ultracold atoms, where the study of non-equilibrium ultracold atoms is a hot topic [8,9,33,36,37]. A cloud of atoms can be prepared in their lowest energy state and then be transferred to a nonequilibrium state by some external fields (chaotic billiard www.lphys.org c 2011 by Astro Ltd.…”

Section: Discussionmentioning

confidence: 86%

Universal behavior in quantum chaotic dynamics

Xiong

2011

Laser Phys. Lett.

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We discover numerically that a moving wave packet in a chaotic billiard will always evolve into a quantum state, whose density probability distribution is exponential. This exponential distribution is found to be universal for quantum chaotic systems with rigorous proof. In contrast, for the corresponding classical system, the distribution is Gaussian. We find that the quantum exponential distribution can smoothly change to the classical Gaussian distribution with coarse graining. This universal dynamical behavior can be observed experimentally with Bose-Einstein condensates.

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Turbulent superfluid as continuous vortex mixture

Cited by 30 publications

References 73 publications

Transition to quantum turbulence in finite-size superfluids

Transition to quantum turbulence in finite-size superfluids

Realization of inverse Kibble–Zurek scenario with trapped Bose gases

Universal behavior in quantum chaotic dynamics

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