Dissipation and Decay of Three Dimensional Holographic Quantum Turbulence

Abstract

Quantum turbulence is a far-from-equilibrium process characterized by high nonlinearity. Holographic duality provides a systematic framework for simulating the decaying $(3+1)$-dimensional quantum turbulence by numerically solving the dual Abelian-Higgs theory in a $(4+1)$-dimensional black hole background. We reveal that different types of decay behavior of the total vortex line density $L$ emerge depending on the initial vortex line density, ranging from $L\sim t^{-1.5}$ to $L\sim t^{-1}$, similar to the experimental observation of ${}^3$He in Phys. Rev. Lett. 96, 035301 (2006), and of ${}^4$He in Phys. Rev. Lett. 82, 4831 (1999) and in Phys. Rev. Lett. 118, 134501 (2017). Furthermore, by measuring the energy flux at the black hole horizon, we determine that the energy dissipation rate $dE/dt$ is proportional to the square of the total vortex line density, consistent with the vortex line decay equation proposed by W. F. Vinen and also the experimental measurement in Nature Physics 7, 473 - 476 (2011).

arXiv comment12 pages, 9 figures

References in corpus (32)

• Gauge Theory Correlators from Non-Critical String Theory
• Building an AdS/CFT superconductor
• Lectures on holographic methods for condensed matter physics
• Holographic Superconductors
• Breaking an Abelian gauge symmetry near a black hole horizon
• Introduction to quantum turbulence
• Holographic model of superfluidity
• Kolmogorov spectrum of superfluid turbulence: numerical analysis of the Gross-Pitaevskii equation with the small scale dissipation
• Velocity Statistics Distinguish Quantum Turbulence from Classical Turbulence
• Dissipation of Quantum Turbulence in the Zero Temperature Limit
• Quantum and quasiclassical types of superfluid turbulence
• A Kelvin-wave cascade on a vortex in superfluid ${}^4$He at a very low temperature
• Quantum turbulence in trapped atomic Bose-Einstein condensates
• Energy spectra of vortex distributions in two-dimensional quantum turbulence
• Non classical velocity statistics in a turbulent atomic Bose Einstein condensate
• Turbulent velocity spectra in superfluid flows
• Numerical Studies of Quantum Turbulence
• Classical and quantum regimes of the superfluid turbulence
• Vortex filament method as a tool for computational visualization of quantum turbulence
• Inhomogeneous Structures in Holographic Superfluids: II. Vortices
• Spectral energy transport in two-dimensional quantum vortex dynamics
• Scale Separation Scheme for Simulating Superfluid Turbulence: Kelvin-Wave Cascade
• Quasiclassical and ultraquantum decay of superfluid turbulence
• Vinen turbulence via the decay of multicharged vortices in trapped atomic Bose-Einstein condensates
• Vortex motion quantifies strong dissipation in a holographic superfluid
• Dissipation in quantum turbulence in superfluid ${}^4$He above 1K
• Towards Quantum Turbulence in Finite Temperature Bose-Einstein Condensates
• Ultra-quantum turbulence in a quenched homogeneous Bose gas
• Motion of a superfluid vortex according to holographic quantum dissipation
• Heating up quadruply quantized vortices: Splitting patterns and dynamical transitions
• Coexistence of quantum and classical flows in quantum turbulence in the $T=0$ limit
• Free energy, stability, and particle source in dynamical holography

Cited by in corpus (2)

• Vortex shedding patterns in holographic superfluids at finite temperature
• Interior structure of black holes with nonlinear terms