Signatures of Coherent Vortex Structures in a Disordered 2D Quantum Fluid
arXiv:1312.4618 · doi:10.1103/PhysRevA.89.053631
Abstract
The emergence of coherent rotating structures is a phenomenon characteristic of both classical and quantum 2D turbulence. In this work we show theoretically that the coherent vortex structures that emerge in decaying 2D quantum turbulence can approach quasi-classical rigid-body rotation, obeying the Feynman rule of constant average areal vortex density while remaining spatially disordered. By developing a rigorous link between the velocity probability distribution and the quantum kinetic energy spectrum over wavenumber , we show that the coherent vortex structures are associated with a power law in the infrared region of the spectrum, and a well-defined spectral peak that is a physical manifestation of the largest structures. We discuss the possibility of realizing coherent structures in Bose--Einstein condensate experiments and present Gross-Pitaevskii simulations showing that this phenomenon, and its associated spectral signatures, can emerge dynamically from feasible initial vortex configurations.
14 pages, 6 figures
References in corpus (9)
- Dynamics and statistical mechanics of ultra-cold Bose gases using c-field techniques
- Emergence of turbulence in an oscillating Bose-Einstein condensate
- XMDS2: Fast, scalable simulation of coupled stochastic partial differential equations
- Velocity Statistics Distinguish Quantum Turbulence from Classical Turbulence
- Inverse Energy Cascade in Forced 2D Quantum Turbulence
- Energy spectra of vortex distributions in two-dimensional quantum turbulence
- Classical and quantum regimes of two-dimensional turbulence in trapped Bose-Einstein condensates
- Quantum Analogs of Classical Wakes in Bose-Einstein Condensates
- Turbulence in Binary Bose-Einstein Condensates Generated by Highly Non-Linear Rayleigh-Taylor and Kelvin-Helmholtz Instabilities
Cited by in corpus (30)
- Prethermalization and universal dynamics in near-integrable quantum systems
- Giant Vortex Clusters in a Two-Dimensional Quantum Fluid
- Emergence of order from turbulence in an isolated planar superfluid
- Observation of vortex-antivortex pairing in decaying 2D turbulence of a superfluid gas
- Strongly anomalous non-thermal fixed point in a quenched two-dimensional Bose gas
- Spectral energy transport in two-dimensional quantum vortex dynamics
- Deterministic creation, pinning, and manipulation of quantized vortices in a Bose-Einstein condensate
- Theory of the vortex-clustering transition in a confined two-dimensional quantum fluid
- Emergent Non-Eulerian Hydrodynamics of Quantum Vortices in Two Dimensions
- Long-range Ordering of Topological Excitations in a Two-Dimensional Superfluid Far From Equilibrium
- Vortex clustering and universal scaling laws in two-dimensional quantum turbulence
- Generating and Manipulating Quantized Vortices On-Demand in a Bose-Einstein Condensate: a Numerical Study
- Spectral analysis for compressible quantum fluids
- Classical-like wakes past elliptical obstacles in atomic Bose-Einstein condensates
- Decay of two-dimensional quantum turbulence in binary Bose-Einstein condensates
- Vortex formation and quantum turbulence with rotating paddle potentials in a two-dimensional binary Bose-Einstein condensate
- Hamiltonian dynamics of two same-sign point vortices
- Vortex generation in stirred binary Bose-Einstein condensates
- Classical analogies for the force acting on an impurity in a Bose-Einstein condensate
- A damped point-vortex model for polar-core spin vortices in a ferromagnetic spin-1 Bose-Einstein condensate
- Hydrodynamics of Quantum Vortices on a Closed Surface
- Vortex depinning in a two-dimensional superfluid
- Velocity statistics for non-uniform configurations of point vortices
- Dynamics of interacting dark soliton stripes
- Neutral vortex necklace in a trapped planar superfluid
- Regimes of Steady-State Turbulence in a Quantum Fluid
- Velocity statistics for point vortices in the local α-models of turbulence
- Energy spectra and fluxes of two-dimensional turbulent quantum droplets
- Rayleigh-Taylor, Kelvin-Helmholtz and immiscible to miscible quenching instabilities in binary Bose-Einstein condensates
- Annihilation and recurrence of vortex-antivortex pairs in two-component Bose-Einstein condensates