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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

Recent experiments on quantum turbulence in superfluid helium made use of small tracer particles to track the motion of quantized vortices, determine velocity statistics and visualize vortex reconnections. A problem with this visualization…

Other Condensed Matter · Physics 2009-06-01 C. F. Barenghi , Y. A. Sergeev

Since we still lack a theory of classical turbulence, attention has focused on the conceptually simpler turbulence in quantum fluids. Can such systems of identical singly-quantized vortices provide a physically accessible "toy model" of the…

Mesoscale and Nanoscale Physics · Physics 2021-06-09 A. Guthrie , S. Kafanov , M. T. Noble , Yu. A. Pashkin , G. R. Pickett , V. Tsepelin , A. A. Dorofeev , V. A. Krupenin , D. E. Presnov

Vectorizing vortex-core lines is crucial for high-quality visualization and analysis of turbulence. While several techniques exist in the literature, they can only be applied to classical fluids. Recently, quantum fluids with turbulence get…

Graphics · Computer Science 2019-11-28 Daoming Liu , Chi Xiong , Xiaopei Liu

In two dimensional superfluid, annihilation processes of vortices are investigated by numerical simulation within the dissipative Gross-Pitaevskii equation (GPE) model. First, quantum vortex solution is obtained and its fitting function is…

Quantum Gases · Physics 2020-03-04 Lan Shanquan , Chen Weiru , Liang Xiaoying , Chen Jiexiang , Liu Xiyi

We show that the Gross-Pitaevskii equation coupled with the wave equation for a wire (GP-W) provides a natural theoretical framework for understanding recent experiments employing a nanowire to detect a single quantum vortex in superfluid…

Other Condensed Matter · Physics 2025-03-10 Sanjay Shukla , Giorgio Krstulovic , Rahul Pandit

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

Superfluid $^3$He-B in the zero-temperature limit offers a unique means of studying quantum turbulence by the Andreev reflection of quasiparticle excitations by the vortex flow fields. We validate the experimental visualization of…

Other Condensed Matter · Physics 2015-07-14 A. W. Baggaley , V. Tsepelin , C. F. Barenghi , S. N. Fisher , G. R. Pickett , Y. A. Sergeev , N. Suramlishvili

Particles have been used for more than a decade to visualize and study the dynamics of quantum vortices in superfluid helium. In this work we study how the dynamics of a collection of particles set inside a vortex reflects the motion of the…

Other Condensed Matter · Physics 2020-05-20 Umberto Giuriato , Giorgio Krstulovic , Sergey Nazarenko

The microscopic mechanism of thermal dissipation in quantum turbulence has been numerically studied by solving the coupled system involving the Gross-Pitaevskii equation and the Bogoliubov-de Gennes equation. At low temperatures, the…

Disordered Systems and Neural Networks · Physics 2009-11-11 Michikazu Kobayashi , Makoto Tsubota

The structure of a quantized vortex in a Bose-Einstein Condensate is investigated using the projection method developed by Peierls, Yoccoz, and Thouless. This method was invented to describe the collective motion of a many-body system…

Condensed Matter · Physics 2007-05-23 Jian-Ming Tang

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

The appearance of quantised vortices in the classical ``rotating bucket'' experiments of liquid helium and ultracold dilute gases provides the means for fundamental and comparative studies of different superfluids. Here, we realize the…

Holographic duality provides a description of strongly coupled quantum systems in terms of weakly coupled gravitational theories in a higher-dimensional space. It is a challenge, however, to quantitatively determine the physical parameters…

High Energy Physics - Theory · Physics 2021-09-08 Paul Wittmer , Christian-Marcel Schmied , Thomas Gasenzer , Carlo Ewerz

We carry out three-dimensional, high resolution (up to $1024^2\times 256$) hydrodynamic simulations of the evolution of vortices in vertically unstratified Keplerian disks using the shearing sheet approximation. The transient amplification…

Astrophysics · Physics 2011-02-11 Yue Shen , James M. Stone , Thomas A. Gardiner , ;

Quantum vortices naturally emerge in rotating Bose-Einstein condensates (BECs) and, similarly to their classical counterparts, allow the study of a range of interesting out-of-equilibrium phenomena like turbulence and chaos. However, the…

Quantum Gases · Physics 2021-06-17 Friederike Metz , Juan Polo , Natalya Weber , Thomas Busch

We present full three-dimensional numerical calculations of single vortex states in rotating dipolar condensates. We consider a Bose-Einstein condensate of 52Cr atoms with dipole-dipole and s-wave contact interactions confined in an axially…

Quantum Gases · Physics 2009-06-24 M. Abad , M. Guilleumas , R. Mayol , M. Pi , D. M. Jezek

We carry out an in-depth analysis of a recently introduced vortex gas model of homogeneous and isotropic turbulence. Direct numerical simulations are used to provide a concrete physical interpretation of one of the model's constituent…

Fluid Dynamics · Physics 2023-12-05 L. Moriconi , R. M. Pereira , V. J. Valadão

The leapfrogging of coaxial vortex rings is a famous effect which has been noticed since the times of Helmholtz. Recent advances in ultra-cold atomic gases show that the effect can now be studied in quantum fluids. The strong confinement…

This paper is concerned with the numerical investigation of Quantum Turbulence (QT) described by the Gross-Pitaevskii (GP) equation. Numerical simulations are performed using a parallel (MPI-OpenMP) code based on a pseudo-spectral spatial…