Inverse Energy Cascade in Forced 2D Quantum Turbulence
arXiv:1209.5824 · doi:10.1103/PhysRevLett.110.104501
Abstract
We demonstrate an inverse energy cascade in a minimal model of forced 2D quantum vortex turbulence. We simulate the Gross-Pitaevskii equation for a moving superfluid subject to forcing by a stationary grid of obstacle potentials, and damping by a stationary thermal cloud. The forcing injects large amounts of vortex energy into the system at the scale of a few healing lengths. A regime of forcing and damping is identified where vortex energy is efficiently transported to large length scales via an inverse energy cascade associated with the growth of clusters of same-circulation vortices, a Kolmogorov scaling law in the kinetic energy spectrum over a substantial inertial range, and spectral condensation of kinetic energy at the scale of the system size. Our results provide clear evidence that the inverse energy cascade phenomenon, previously observed in a diverse range of classical systems, can also occur in quantum fluids.
5 pages, 4 figures
References in corpus (18)
- Superflow in a toroidal Bose-Einstein condensate: an atom circuit with a tunable weak link
- Dynamics and statistical mechanics of ultra-cold Bose gases using c-field techniques
- Observation of vortex dipoles in an oblate Bose-Einstein condensate
- Vortex lattice formation in a rotating Bose-Einstein condensate
- Characteristics of Two-Dimensional Quantum Turbulence in a Compressible Superfluid
- Growing condensate in two-dimensional turbulence
- Von Kármán vortex street in a Bose-Einstein condensate
- Bottleneck crossover between classical and quantum superfluid turbulence
- Nonthermal fixed points, vortex statistics, and superfluid turbulence in an ultracold Bose gas
- Energy spectra of vortex distributions in two-dimensional quantum turbulence
- The nucleation, growth and stabilization of vortex lattices
- Emergence and decay of turbulence in stirred atomic Bose-Einstein condensates
- Non classical velocity statistics in a turbulent atomic Bose Einstein condensate
- Superfluid Turbulence: Nonthermal Fixed Point in an Ultracold Bose Gas
- Critical Dynamics of a Two-dimensional Superfluid near a Non-Thermal Fixed Point
- Direct Energy Cascade in Two-Dimensional Compressible Quantum Turbulence
- Freely decaying turbulence and Bose-Einstein condensation in Gross-Pitaevski model
- Creation and characterization of vortex clusters in atomic Bose-Einstein condensates
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- Emergence of a Turbulent Cascade in a Quantum Gas
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- Onsager-Kraichnan Condensation in Decaying Two-Dimensional Quantum Turbulence
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- Identifying a superfluid Reynolds number via dynamical similarity
- Numerical Studies of Quantum Turbulence
- Observation of vortex-antivortex pairing in decaying 2D turbulence of a superfluid gas
- Classical and quantum regimes of two-dimensional turbulence in trapped Bose-Einstein condensates
- Strongly anomalous non-thermal fixed point in a quenched two-dimensional Bose gas
- In situ imaging of vortices in Bose-Einstein condensates
- Spectral energy transport in two-dimensional quantum vortex dynamics
- Generation and Decay of Two-Dimensional Quantum Turbulence in a Trapped Bose-Einstein Condensate
- Onsager vortex formation in Bose-Einstein condensates in two-dimensional power-law traps
- Onset of vortex clustering and inverse energy cascade in dissipative quantum fluids
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- Mass-driven vortex collisions in flat superfluids
- Sound-induced vortex interactions in a zero-temperature two-dimensional superfluid
- Turbulence in Binary Bose-Einstein Condensates Generated by Highly Non-Linear Rayleigh-Taylor and Kelvin-Helmholtz Instabilities
- Emergent Non-Eulerian Hydrodynamics of Quantum Vortices in Two Dimensions
- Decay of homogeneous two dimensional quantum turbulence
- Vortex Thermometry for Turbulent Two-Dimensional Fluids
- Einstein-Bose condensation of Onsager vortices
- Vortex clustering and universal scaling laws in two-dimensional quantum turbulence
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- Turbulent dynamics in two-dimensional paraxial fluid of light
- Turbulence Excitation in Counter-Streaming Paraxial Superfluids of Light
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- Observation of bistable turbulence in quasi-two-dimensional superflow
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- Spectral analysis for compressible quantum fluids
- Superflow decay in a toroidal Bose gas: The effect of quantum and thermal fluctuations
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- Decay of two-dimensional quantum turbulence in binary Bose-Einstein condensates
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- A unified field theory of topological defects and non-linear local excitations
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- Velocity statistics for non-uniform configurations of point vortices
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- Velocity statistics for point vortices in the local α-models of turbulence
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- Intermittency of three-dimensional perturbations in a point-vortex model
- Sound emission and annihilations in a programmable quantum vortex collider
- Topological stirring of two-dimensional atomic Bose-Einstein condensates
- Dynamics of Onsager vortex clustering in decaying turbulent polariton quantum fluids
- Dynamics of two quantized vortices belonging to different components of binary Bose-Einstein condensates in a circular box potential
- Machine learning classification of two-dimensional vortex configurations
- Renormalized analytic solution for the enstrophy cascade in two-dimensional quantum turbulence
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- Dynamics of the forward vortex cascade in two-dimensional quantum turbulence
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