Introduction to quantum turbulence

Abstract

The term quantum turbulence denotes the turbulent motion of quantum fluids, systems such as superfluid helium and atomic Bose-Einstein condensates which are characterized by quantized vorticity, uperfluidity and, at finite temperatures, two-fluid behavior. This article introduces their basic properties, describes types and regimes of turbulence which have been observed, and highlights similarities and differences between quantum turbulence and classical turbulence in ordinary fluids. Our aim is also to link together the articles of this special issue, and to provide a perspective of the future development of a subject which contains aspects of fluid mechanics, atomic physics, condensed matter and low temperature physics.

6 pages

References in corpus (39)

• Finite Temperature Models of Bose-Einstein Condensation
• Kolmogorov spectrum of superfluid turbulence: numerical analysis of the Gross-Pitaevskii equation with the small scale dissipation
• Characterization of reconnecting vortices in superfluid helium
• Velocity Statistics Distinguish Quantum Turbulence from Classical Turbulence
• Transition to superfluid turbulence governed by an intrinsic parameter
• Sound emission due to superfluid vortex reconnections
• Energy Spectrum of Superfluid Turbulence without Normal Fluid
• Dissipation of Quantum Turbulence in the Zero Temperature Limit
• Quantum and quasiclassical types of superfluid turbulence
• Quantum Turbulence in a Trapped Bose-Einstein Condensate
• Quantum vortex reconnections
• Steady State of Counterflow Quantum Turbulence: Vortex filament Simulation with the Full Biot-Savart Law
• Non classical velocity statistics in a turbulent atomic Bose Einstein condensate
• Visualization study of counterflow in superfluid helium-4 using metastable helium molecules
• Vortices and turbulence in trapped atomic condensates
• Binary Quantum Turbulence Arising from Countersuperflow Instability in Two-Component Bose-Einstein Condensates
• Turbulent velocity spectra in superfluid flows
• Finite temperature vortex dynamics in Bose Einstein condensates
• Vortex filament method as a tool for computational visualization of quantum turbulence
• Energy Spectra of Developed Turbulencein Helium Superfluids
• Coherent vortex structures in quantum turbulence
• Anisotropic and long-range vortex interactions in two-dimensional dipolar Bose gases
• Quasiclassical and ultraquantum decay of superfluid turbulence
• Quantum turbulence at finite temperature: the two-fluids cascade
• Kelvin-wave cascade and dissipation in low-temperature superfluids vortices
• Thermally- and mechanically-driven quantum turbulence in helium II
• Counterflow instability and turbulence in a spin-1 spinor Bose--Einstein condensate
• Dynamics of quantum turbulence of different spectra
• Tree method for quantum vortex dynamics
• Enhancement of intermittency in superfluid turbulence
• Mesoscale Equipartition of kinetic energy in Quantum Turbulence
• The Kelvin-wave cascade in the vortex filament model
• Vortex density fluctuations in quantum turbulence
• Universal mechanism of dissipation in Fermi superfluids at ultra low temperatures
• Vortex nucleation by collapsing bubbles in Bose-Einstein condensates
• Shell model of superfluid turbulence
• Energy Spectra of Superfluid Turbulence in ${}^3$He
• Quantum turbulence in superfluids with wall-clamped normal component
• The Decay of Pure Quantum Turbulence in Superfluid 3He-B

Cited by in corpus (144)

• Cascades and transitions in turbulent flows
• Quantum turbulence in trapped atomic Bose-Einstein condensates
• Introduction to topological quantum computation with non-Abelian anyons
• Vortices in self-bound dipolar droplets
• Neutron Stars in the Laboratory
• Numerical Studies of Quantum Turbulence
• Laser cooling and control of excitations in superfluid helium
• The role of geometry in the superfluid flow of nonlocal photon fluids
• Generation and Decay of Two-Dimensional Quantum Turbulence in a Trapped Bose-Einstein Condensate
• Synthetic Lagrangian Turbulence by Generative Diffusion Models
• Rotating Curved Spacetime Signatures from a Giant Quantum Vortex
• Vortex clustering, polarisation and circulation intermittency in classical and quantum turbulence
• Onset of vortex clustering and inverse energy cascade in dissipative quantum fluids
• Vortex reconnections in atomic condensates at finite temperature
• A superfluid boundary layer
• Geometry-dependent viscosity reduction in sheared active fluids
• Dual cascade and dissipation mechanisms in helical quantum turbulence
• Intermittency of velocity circulation in quantum turbulence
• Soliton gas in bidirectional dispersive hydrodynamics
• Controlled polarization of two-dimensional quantum turbulence in atomic Bose-Einstein condensates
• Vinen turbulence via the decay of multicharged vortices in trapped atomic Bose-Einstein condensates
• Fully Coupled Two-Fluid Dynamics in Superfluid ${}^4$He: Anomalous Anisotropic Velocity Fluctuations in Counterflow
• Three-Dimensional Coupled Dynamics of Two-Fluid Model in Superfluid ${}^4$He: Deformed Velocity Profile of Normal Fluid in Thermal Counterflow
• Intermittency of quantum turbulence with superfluid fractions from 0% to 96%
• Dynamics of the Density of Quantized Vortex-Lines in Superfluid Turbulence
• Mass-driven vortex collisions in flat superfluids
• Coherent and incoherent structures in fuzzy dark matter halos
• Variable energy flux in turbulence
• Connecting shear-flow and vortex array instabilities in annular atomic superfluids
• Interaction between active particles and quantum vortices leading to Kelvin wave generation
• Emergent Non-Eulerian Hydrodynamics of Quantum Vortices in Two Dimensions
• Observation of Non-equilibrium Motion and Equilibration in Polariton Rings
• Rotating quantum wave turbulence
• Thermalization of matter waves in speckle potentials
• Decay of homogeneous two dimensional quantum turbulence
• Quantitative estimation of effective viscosity in quantum turbulence
• Helicity conservation under quantum reconnection of vortex rings
• Bogoliubov-wave turbulence in Bose-Einstein condensates
• Intermittency enhancement in quantum turbulence
• Avalanche Interpretation of the Power-Law Energy Spectrum in Three-Dimensional Dense Granular Flow
• Coupled normal fluid and superfluid profiles of turbulent helium II in channels
• Coexistence and interplay of quantum and classical turbulence in superfluid He-4: Decay, velocity decoupling and counterflow energy spectra
• Towards Quantum Turbulence in Cold Atomic Fermionic Superfluids
• 2D Quantum Turbulence in Polariton Condensates
• Vorticity and quantum turbulence in the merging of superfluid Helium nanodroplets
• Decaying quantum turbulence in a two-dimensional Bose-Einstein condensate at finite temperature
• Turbulent statistics and intermittency enhancement in coflowing superfluid ${}^4$He
• Turbulent, pinned superfluids in neutron stars and pulsar glitch recoveries
• Observation of bistable turbulence in quasi-two-dimensional superflow
• Quantum ferrofluid turbulence
• Spectral analysis for compressible quantum fluids
• Kelvin waves and the decay of quantum superfluid turbulence
• Superdiffusion of quantized vortices uncovering scaling behavior of quantum turbulence
• A route to non-Abelian quantum turbulence in spinor Bose-Einstein condensates
• Quantum turbulence simulations using the Gross-Pitaevskii equation: high-performance computing and new numerical benchmarks
• Decay of two-dimensional quantum turbulence in binary Bose-Einstein condensates
• How trapped particles interact with and sample superfluid vortex excitations
• Universal expansion of vortex clusters in a dissipative two-dimensional superfluid
• Hydrodynamics of vortices in Bose-Einstein condensates: A defect-gauge field approach
• Dynamical friction in Bose-Einstein condensed self-interacting dark matter at finite temperatures, and the Fornax dwarf spheroidal
• Stochastic Lagrangian Dynamics of Vorticity. II. Channel-Flow Turbulence
• Reservoir interactions of a vortex in a trapped 3D Bose-Einstein condensate
• Feynman rules for forced wave turbulence
• Weaving classical turbulence with quantum skeleton
• Quantum turbulence in Bose-Einstein condensates: present status and new challenges ahead
• Spin-orbit coupled polariton condensates in a radially-periodic potential: Multiring vortices and rotating solitons
• Theoretical analysis of quantum turbulence using the Onsager "ideal turbulence" theory
• Kolmogorov and Kelvin wave cascades in a generalized model for quantum turbulence
• Intra-scales energy transfer during the evolution of turbulence in a trapped Bose-Einstein condensate
• Thermalized Abrikosov lattices from decaying turbulence in rotating BECs
• Relaxation dynamics of half-quantum vortices in a two-dimensional two-component Bose-Einstein condensate
• Spherically symmetric formation of localized vortex tangle around a heat source in superfluid ${}^4$He
• Dynamics of vortex quadrupoles in nonrotating trapped Bose-Einstein condensate
• Superfluid Phase Transition with Activated Velocity Fluctuations: Renormalization Group Approach
• Domain-area distribution anomaly in segregating multicomponent superfluids
• Bathtub vortex in superfluid ${}^4$He
• Inhomogeneous distribution of particles in co-flow and counterflow quantum turbulence
• Dynamic formation of quasicondensate and spontaneous vortices in a strongly interacting Fermi gas
• Damping of a micro-electromechanical oscillator in turbulent superfluid ${}^4$He: A novel probe of quantized vorticity in the ultra-low temperature regime
• Local and nonlocal dynamics in superfluid turbulence
• Counterflow-Induced Inverse Energy Cascade in Three-Dimensional Superfluid Turbulence
• Probing quantum turbulence in ${}^4$He by quantum evaporation measurements
• Controlled creation of three-dimensional vortex structures in Bose--Einstein condensates using artificial magnetic fields
• Detection of vortex coherent structures in superfluid turbulence
• Statistical laws and self-similarity of vortex rings emitted from a localized vortex tangle in superfluid ${}^4$He
• On the determination of vortex ring vorticity using Lagrangian particles
• Modelling of vorticity, sound and their interaction in two-dimensional superfluids
• Attractive Interaction between Vortex and Anti-vortex in Holographic Superfluid
• Coupled dynamics for superfluid ${}^4$He in the channel
• Backreaction of tracer particles on vortex tangle in helium II counterflow
• Local and non-local energy spectra of superfluid ${}^3$He turbulence
• A note on the propagation of quantized vortex rings through a quantum turbulence tangle: Energy transport or energy dissipation?
• Logarithmic velocity profile of quantum turbulence of superfluid ${}^4$He
• Electromechanical feedback control of nanoscale superflow
• Velocity Statistics in Holographic Fluids: Magnetized Quark-Gluon Plasma and Superfluid Flow
• Grand Challenges in Quantum Fluids and Solids
• On the investigation of properties of superfluid ${}^4$He turbulence using a hot-wire signal
• Irreversible entropy transport enhanced by fermionic superfluidity
• Pair interactions of heavy vortices in quantum fluids
• Finite temperature effects in helical quantum turbulence
• Energy spectra and fluxes of turbulent rotating Bose-Einstein condensates in two dimensions
• Observation of Jones-Roberts solitons in a paraxial quantum fluid of light
• Detection of Quantized Vortices using Fourth Sound Attenuation
• Quantum turbulence, superfluidity, non-Markovian dynamics, and wave function thermalization
• INFFTM: Fast evaluation of 3d Fourier series in MATLAB with an application to quantum vortex reconnections
• Sound emission and annihilations in a programmable quantum vortex collider
• Local measurement of vortex statistics in quantum turbulence
• Inviscid diffusion of vorticity in low temperature superfluid helium
• Mesoscale helicity distinguishes Vinen from Kolmogorov turbulence in helium II
• Lagrangian quantum turbulence model based on alternating superfluid/ normal fluid stochastic dynamics
• Critical velocity for superfluidity in the one-dimensional mean-field regime: From matter to light quantum fluids
• Bound-state spectrum of an impurity in a quantum vortex
• Internal structure of localized quantized vortex tangles
• Higher-order statistics and intermittency of a two-fluid HVBK quantum turbulent flow
• Collapse of spherical overdensities in superfluid models of dark matter
• Global Regularity of the 2D HVBK equations
• Disentangling temperature and Reynolds number effects in quantum turbulence
• Paraxial fluids of light
• Dynamics of two quantized vortices belonging to different components of binary Bose-Einstein condensates in a circular box potential
• Conformal-invariance of 2D quantum turbulence in an exciton-polariton fluid of light
• Density functional theory modeling of vortex shedding in superfluid He-4
• Critical angular velocity for vortex lines formation
• Dissipation and Decay of Three Dimensional Holographic Quantum Turbulence
• The quantum vortices dynamics: spatio-temporal scale hierarchy and origin of turbulence
• Turbulence and large-scale structures in self-gravitating superfluids
• Annihilation and recurrence of vortex-antivortex pairs in two-component Bose-Einstein condensates
• Dynamics of Topological Defects in a Rashba Spin-Orbit Coupled Bose-Einstein Condensate
• Simulating Quantum Turbulence with Matrix Product States
• Hydrodynamic transport and violation of the viscosity-to-entropy ratio bound in nodal-line semimetals
• Demonstration of the rotational viscosity transfer across scales in Navier-Stokes turbulence
• Radial vortex core oscillations in Bose-Einstein condensates
• Emergence of vorticity and viscous stress in finite-scale quantum hydrodynamics
• Toy Model for Vortex Ring-Assisted Particle Drag in Superfluid Counterflow
• Stationary transport above the critical velocity in a one-dimensional superflow past an obstacle
• Small-data global existence of solutions for the Pitaevskii model of superfluidity
• Merging of superfluid Helium nanodroplets with vortices
• Characterising arbitrary dark solitons in trapped one-dimensional Bose-Einstein condensates
• A Simple XY Model for Cascade Transfer
• Controlled generation of 3D vortices in driven atomic Josephson junctions
• Vectorizing Quantum Turbulence Vortex-Core Lines for Real-Time Visualization
• A quantum storm in a teacup
• Turbulence in rotating Bose-Einstein condensates
• Regimes of turbulence without an energy cascade
• Decaying superfluid turbulence near an anomalous non-thermal fixed point