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 (12)

• Finite Temperature Models of Bose-Einstein Condensation
• Characterization of reconnecting vortices in superfluid helium
• Velocity Statistics Distinguish Quantum Turbulence from Classical Turbulence
• Quantum and quasiclassical types of superfluid turbulence
• Quantum Turbulence in a Trapped Bose-Einstein Condensate
• Visualization study of counterflow in superfluid helium-4 using metastable helium molecules
• Binary Quantum Turbulence Arising from Countersuperflow Instability in Two-Component Bose-Einstein Condensates
• Turbulent velocity spectra in superfluid flows
• Energy Spectra of Developed Turbulencein Helium Superfluids
• Mesoscale Equipartition of kinetic energy in Quantum Turbulence
• Vortex density fluctuations in quantum turbulence
• The Decay of Pure Quantum Turbulence in Superfluid 3He-B

Cited by in corpus (94)

• 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
• Intermittency of velocity circulation in quantum turbulence
• Dual cascade and dissipation mechanisms in helical quantum turbulence
• Soliton gas in bidirectional dispersive hydrodynamics
• Fully Coupled Two-Fluid Dynamics in Superfluid ${}^4$He: Anomalous Anisotropic Velocity Fluctuations in 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
• Connecting shear-flow and vortex array instabilities in annular atomic superfluids
• Variable energy flux in turbulence
• Rotating quantum wave turbulence
• Towards Quantum Turbulence in Cold Atomic Fermionic Superfluids
• Vorticity and quantum turbulence in the merging of superfluid Helium nanodroplets
• Turbulent, pinned superfluids in neutron stars and pulsar glitch recoveries
• Observation of bistable turbulence in quasi-two-dimensional superflow
• Spectral analysis for compressible quantum fluids
• Quantum turbulence simulations using the Gross-Pitaevskii equation: high-performance computing and new numerical benchmarks
• Superdiffusion of quantized vortices uncovering scaling behavior of quantum turbulence
• Kelvin waves and the decay of quantum superfluid turbulence
• Universal expansion of vortex clusters in a dissipative two-dimensional superfluid
• Hydrodynamics of vortices in Bose-Einstein condensates: A defect-gauge field approach
• Decay of two-dimensional quantum turbulence in binary Bose-Einstein condensates
• 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
• Quantum turbulence in Bose-Einstein condensates: present status and new challenges ahead
• Weaving classical turbulence with quantum skeleton
• Feynman rules for forced wave turbulence
• Theoretical analysis of quantum turbulence using the Onsager "ideal turbulence" theory
• Kolmogorov and Kelvin wave cascades in a generalized model for quantum turbulence
• Spin-orbit coupled polariton condensates in a radially-periodic potential: Multiring vortices and rotating solitons
• Thermalized Abrikosov lattices from decaying turbulence in rotating BECs
• Intra-scales energy transfer during the evolution of turbulence in a trapped Bose-Einstein condensate
• Relaxation dynamics of half-quantum vortices in a two-dimensional two-component Bose-Einstein condensate
• Damping of a micro-electromechanical oscillator in turbulent superfluid ${}^4$He: A novel probe of quantized vorticity in the ultra-low temperature regime
• Dynamics of vortex quadrupoles in nonrotating trapped Bose-Einstein condensate
• Bathtub vortex in superfluid ${}^4$He
• Inhomogeneous distribution of particles in co-flow and counterflow quantum turbulence
• Spherically symmetric formation of localized vortex tangle around a heat source in superfluid ${}^4$He
• Counterflow-Induced Inverse Energy Cascade in Three-Dimensional Superfluid Turbulence
• Local and nonlocal dynamics in superfluid turbulence
• 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
• Modelling of vorticity, sound and their interaction in two-dimensional superfluids
• On the determination of vortex ring vorticity using Lagrangian particles
• Coupled dynamics for superfluid ${}^4$He in the channel
• A note on the propagation of quantized vortex rings through a quantum turbulence tangle: Energy transport or energy dissipation?
• Electromechanical feedback control of nanoscale superflow
• On the investigation of properties of superfluid ${}^4$He turbulence using a hot-wire signal
• Energy spectra and fluxes of turbulent rotating Bose-Einstein condensates in two dimensions
• Irreversible entropy transport enhanced by fermionic superfluidity
• Local measurement of vortex statistics in quantum turbulence
• Lagrangian quantum turbulence model based on alternating superfluid/ normal fluid stochastic dynamics
• Sound emission and annihilations in a programmable quantum vortex collider
• Observation of Jones-Roberts solitons in a paraxial quantum fluid of light
• Quantum turbulence, superfluidity, non-Markovian dynamics, and wave function thermalization
• Detection of Quantized Vortices using Fourth Sound Attenuation
• Bound-state spectrum of an impurity in a quantum vortex
• Critical velocity for superfluidity in the one-dimensional mean-field regime: From matter to light quantum fluids
• Higher-order statistics and intermittency of a two-fluid HVBK quantum turbulent flow
• Internal structure of localized quantized vortex tangles
• Collapse of spherical overdensities in superfluid models of dark matter
• Disentangling temperature and Reynolds number effects in quantum turbulence
• Dynamics of two quantized vortices belonging to different components of binary Bose-Einstein condensates in a circular box potential
• Paraxial fluids of light
• Global Regularity of the 2D HVBK equations
• Conformal-invariance of 2D quantum turbulence in an exciton-polariton fluid of light
• Critical angular velocity for vortex lines formation
• The quantum vortices dynamics: spatio-temporal scale hierarchy and origin of turbulence
• Dissipation and Decay of Three Dimensional Holographic Quantum Turbulence
• Dynamics of Topological Defects in a Rashba Spin-Orbit Coupled Bose-Einstein Condensate
• Turbulence and large-scale structures in self-gravitating superfluids
• Hydrodynamic transport and violation of the viscosity-to-entropy ratio bound in nodal-line semimetals
• Simulating Quantum Turbulence with Matrix Product States
• Annihilation and recurrence of vortex-antivortex pairs in two-component Bose-Einstein condensates
• 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
• 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
• Decaying superfluid turbulence near an anomalous non-thermal fixed point
• Characterising arbitrary dark solitons in trapped one-dimensional Bose-Einstein condensates
• Controlled generation of 3D vortices in driven atomic Josephson junctions
• Merging of superfluid Helium nanodroplets with vortices
• Vectorizing Quantum Turbulence Vortex-Core Lines for Real-Time Visualization
• Turbulence in rotating Bose-Einstein condensates
• Regimes of turbulence without an energy cascade
• A Simple XY Model for Cascade Transfer