Self-similar Expansion of the Density Profile in a Turbulent Bose-Einstein Condensate

Caracanhas, M. A.; Fetter, Alexander L.; Muniz, Sérgio Ricardo; Magalhães, K. M. F.; Roati, G.; Bagnato, G.; Bagnato, Vanderlei Salvador

doi:10.1007/s10909-011-0409-2

Cited by 15 publications

(19 citation statements)

References 28 publications

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“…x + R 2 y + R 2 z ) −1 , so that the resulting dynamical equations be in accordance to the equations obtained previously in Ref. [203]. Finally, the Lagrangian equations of motion are [204]:…”

Section: Self-similar Expansionsupporting

confidence: 81%

“…We see that for relatively large Ω, hence large vortex number, the aspect ratio of the gas remains almost constant. Source: paper of Caracanhas et al [203] A close analysis of Eq. (5.13) reveals the sources of the anomalous expansion.…”

Section: Self-similar Expansionmentioning

confidence: 99%

“…(b) Aspect ratio as a function of the expansion time for the different clouds. Source: thesis of Seman[47], papers of Henn et al[3] and Caracanhas et al[203].…”

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confidence: 99%

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Quantum turbulence in trapped atomic Bose–Einstein condensates

et al. 2016

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Turbulence, the complicated fluid behavior of nonlinear and statistical nature, arises in many physical systems across various disciplines, from tiny laboratory scales to geophysical and astrophysical ones. The notion of turbulence in the quantum world was conceived long ago by Onsager and Feynman, but the occurrence of turbulence in ultracold gases has been studied in the laboratory only very recently. Albeit new as a field, it already offers new paths and perspectives on the problem of turbulence. Herein we review the general properties of quantum gases at ultralow temperatures paying particular attention to vortices, their dynamics and turbulent behavior. We review the recent advances both from theory and experiment. We highlight, moreover, the difficulties of identifying and characterizing turbulence in gaseous Bose-Einstein condensates compared to ordinary turbulence and turbulence in superfluid liquid helium and spotlight future possible directions.

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Section: Self-similar Expansionsupporting

confidence: 81%

Section: Self-similar Expansionmentioning

confidence: 99%

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Quantum turbulence in trapped atomic Bose–Einstein condensates

et al. 2016

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“…A great deal is known about 3D QT in BECs [3,5,11,26], and experiments have observed [27,28] and explicitly studied [29][30][31] characteristics of 3D QT in BECs. Much less is known about 2D QT; more work is required to understand the fundamental characteristics of 2D QT, and to compare the classical and quantum dynamics.…”

Section: Introductionmentioning

confidence: 99%

Classical and quantum regimes of two-dimensional turbulence in trapped Bose-Einstein condensates

Reeves¹,

Anderson²,

Bradley³

2012

Phys. Rev. A

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We investigate two-dimensional turbulence in finite-temperature trapped Bose-Einstein condensates within damped Gross-Pitaevskii theory. Turbulence is produced via circular motion of a Gaussian potential barrier stirring the condensate. We systematically explore a range of stirring parameters and identify three regimes, characterized by the injection of distinct quantum vortex structures into the condensate: (A) periodic vortex dipole injection, (B) irregular injection of a mixture of vortex dipoles and co-rotating vortex clusters, and (C) continuous injection of oblique solitons that decay into vortex dipoles. Spectral analysis of the kinetic energy associated with vortices reveals that regime (B) can intermittently exhibit a Kolmogorov k −5/3 power law over almost a decade of length or wave-number (k) scales. The kinetic energy spectrum of regime (C) exhibits a clear k −3/2 power law associated with an inertial range for weak-wave turbulence and a k −7/2 power law for high wave numbers. We thus identify distinct regimes of forcing for generating either two-dimensional quantum turbulence or classical weak-wave turbulence that may be realizable experimentally.

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“…Despite the asymmetric expansion (from a cigar shape to a pancake shape) of a conventional BEC or isotropic expansion of a thermal cloud, the turbulent state exhibited a self-similar expansion that preserved the initial aspect ratio. Although a quantitative theoretical understanding of this effect has yet to be fully realized [40], it represents a remarkable new effect in the turbulent regime.…”

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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Self-similar Expansion of the Density Profile in a Turbulent Bose-Einstein Condensate

Cited by 15 publications

References 28 publications

Quantum turbulence in trapped atomic Bose–Einstein condensates

Quantum turbulence in trapped atomic Bose–Einstein condensates

Classical and quantum regimes of two-dimensional turbulence in trapped Bose-Einstein condensates

Quantized Vortices and Quantum Turbulence

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