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We simulate the Gross-Pitaevskii equation to model the development of turbulence in a quantum fluid confined by a cuboid box potential, and forced by shaking along one axis. We observe the development of isotropic turbulence from…

Quantum Gases · Physics 2025-02-12 Tommy Z. Fischer , Ashton S. Bradley

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…

Quantum Gases · Physics 2017-08-02 Makoto Tsubota , Kazuya Fujimoto , Satoshi Yui

We theoretically explore key concepts of two-dimensional turbulence in a homogeneous compressible superfluid described by a dissipative two-dimensional Gross-Pitaeveskii equation. Such a fluid supports quantized vortices that have a size…

Quantum Gases · Physics 2012-10-11 Ashton S. Bradley , Brian P. Anderson

We explore the energy spectra and associated fluxes of turbulent two-dimensional quantum droplets subjected to a rotating paddling potential which is removed after a few oscillation periods. A systematic analysis on the impact of the…

Quantum Gases · Physics 2025-07-04 Shawan Kumar Jha , Mahendra K. Verma , S. I. Mistakidis , Pankaj Kumar Mishra

Under suitable forcing a fluid exhibits turbulence, with characteristics strongly affected by the fluid's confining geometry. Here we study two-dimensional quantum turbulence in a highly oblate Bose-Einstein condensate in an annular trap.…

Superfluid Turbulence is unusual and presents a challenge to fluid dynamicists because it consists of two coupled, inter penetrating turbulent fluids: the first is inviscid with quantised vorticity, the second is viscous with continuous…

Other Condensed Matter · Physics 2013-06-27 Carlo F. Barenghi , Victor L'vov , Philippe-E. Roche

I review the basic physics of ultracold dilute trapped atomic gases, with emphasis on Bose-Einstein condensation and quantized vortices. The hydrodynamic form of the Gross-Pitaevskii equation (a nonlinear Schr{\"o}dinger equation)…

Quantum Gases · Physics 2015-05-19 Alexander L. Fetter

We numerically study two-dimensional quantum turbulence with a Gross--Pitaevskii model. With the energy initially accumulated at large scale, quantum turbulence with many quantized vortex points is generated. Due to the lack of enstrophy…

Other Condensed Matter · Physics 2015-05-18 Ryu Numasato , Makoto Tsubota , Victor S. L'vov

There is a growing interest in the relation between classical turbulence and quantum turbulence. Classical turbulence arises from complicated dynamics of eddies in a classical fluid. In contrast, quantum turbulence consists of a tangle of…

Other Condensed Matter · Physics 2009-11-11 Michikazu Kobayashi , Makoto Tsubota

In turbulence phenomena, including the quantum turbulence in superfluids, an energy flux flows from large to small length scales, composing a cascade of energy. A universal characteristic of turbulent flows is the existence of a range of…

Turbulence is characterized by a large number of degrees of freedom, distributed over several length scales, that result into a disordered state of a fluid. The field of quantum turbulence deals with the manifestation of turbulence in…

Quantum Gases · Physics 2019-10-29 L. Madeira , M. A. Caracanhas , F. E. A. dos Santos , V. S. Bagnato

Quantum turbulence indicators in dipolar Bose-Einstein condensed fluids, following emissions of vortex-antivortex pairs generated by a circularly moving detuned laser, are being provided by numerical simulations of the corresponding…

Quantum Gases · Physics 2024-01-18 S. Sabari , R. Kishor Kumar , Lauro Tomio

Bose-Einstein condensates with their superfluidity property provide an interesting parallel to classical fluids. Due to the Kolmogorov spectrum of homogeneous turbulence the statistics of the incompressible velocity field is of great…

Quantum Gases · Physics 2022-08-16 Marcos A. G. dos Santos Filho , Francisco E. A. dos Santos

Turbulence in quantum fluids has, surprisingly, a lot in common with its classical counterpart. Recently, cold atomic gases has emerged as a well controlled experimental platform to study turbulent dynamics. In this work, we introduce a…

Quantum Gases · Physics 2024-01-24 Myrann Baker-Rasooli , Wei Liu , Tangui Aladjidi , Alberto Bramati , Quentin Glorieux

After over a decade of experiments generating and studying the physics of quantized vortices in atomic gas Bose-Einstein condensates, research is beginning to focus on the roles of vortices in quantum turbulence, as well as other measures…

Quantum Gases · Physics 2015-06-15 Angela C. White , Brian P. Anderson , Vanderlei S. Bagnato

Vortex structures in dilute quantum fluids are studied using the Gross-Pitaevskii equation. The velocity and momentum of multiply quantized vortex rings are determined and their core structures analysed. For flow past a spherical object, we…

Condensed Matter · Physics 2009-10-31 T. Winiecki , J. F. McCann , C. S. Adams

Quantum turbulence is numerically studied by solving the Gross-Pitaevskii equation. Introducing both the energy dissipation at small scales and the energy injection at large scales, we succeed in obtaining the steady turbulence made by the…

Statistical Mechanics · Physics 2009-11-11 Makoto Tsubota , Michikazu Kobayashi

We show the generation of two-dimensional quantum turbulence through simulations of a giant vortex decay in a trapped Bose-Einstein condensate. While evaluating the incompressible kinetic energy spectra of the quantum fluid described by the…

Quantum Gases · Physics 2014-05-06 A. C. Santos , V. S. Bagnato , F. E. A. dos Santos

Properties of distributed chaos in superfluid (quantum) turbulence have been studied using the data of recent direct numerical simulations (HVBK two-fluid model for He II, and a moving grid in the frames of Gross-Pitaevskii model of the…

Fluid Dynamics · Physics 2016-09-21 A. Bershadskii

By combining experiments and numerical simulations which model the dynamics of shaken atomic Bose-Einstein condensates, we reveal the surprising nature of quantum turbulence in these systems. Unlike the tangles of vortex lines described in…

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