Constraints on hydrodynamics from many-body quantum chaos
arXiv:1710.01005
Abstract
Is the hydrodynamics of an interacting many-body system fundamentally limited by basic principles of quantum mechanics? Starting with the conjecture that viscosity is at least as large as entropy density (as measured in fundamental units), there has been a long search for a precise answer to this question. In this work, we identify a simple relationship between hydrodynamics and many-body quantum chaos in a broad class of experimentally realizable systems. Consistency with the quantum butterfly effect leads to upper bounds on the speed of sound and diffusion constants of hydrodynamics. These bounds link two very different theories of quantum many-body dynamics, clarify the relationship between classical hydrodynamics and quantum information loss, and provide a simple way to constrain theories of thermalization and quantum chaos in experiments.
arXiv comment7 + 19 pages, 1+0 figures. v2: revised presentation of key results, added small calculations on SYK chains
References in corpus (59)
- Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
- A bound on chaos
- Gapless Spin-Fluid Ground State in a Random Quantum Heisenberg Magnet
- Comments on the Sachdev-Ye-Kitaev model
- Eternal Black Holes in AdS
- Black holes and the butterfly effect
- Nonlinear Fluid Dynamics from Gravity
- Gravity Duals of Lifshitz-like Fixed Points
- Time Evolution of Entanglement Entropy from Black Hole Interiors
- Operator Spreading in Random Unitary Circuits
- Localized shocks
- Measuring out-of-time-order correlations and multiple quantum spectra in a trapped ion quantum magnet
- Measuring the scrambling of quantum information
- Two-dimensional conformal field theory and the butterfly effect
- Why does the Quark-Gluon Plasma at RHIC behave as a nearly ideal fluid ?
- Theory of universal incoherent metallic transport
- Thermoelectric transport in disordered metals without quasiparticles: the SYK models and holography
- The Gravity Dual of a Density Matrix
- Measuring out-of-time-order correlators on a nuclear magnetic resonance quantum simulator
- Universal Quantum Viscosity in a Unitary Fermi Gas
- Lieb-Robinson and the butterfly effect
- Out-of-Time-Order Correlation for Many-Body Localization
- Exploring Localization in Nuclear Spin Chains
- Holographic quantum matter
- Non-Fermi liquid regime of a doped Mott insulator
- Universal Charge Diffusion and the Butterfly Effect
- Slow scrambling in disordered quantum systems
- Out-of-time-ordered correlators in many-body localized systems
- Hydrodynamic gradient expansion in gauge theory plasmas
- On entanglement spreading in chaotic systems
- Many-body chaos at weak coupling
- On Gravitational Shock Waves in Curved Spacetimes
- Quantum chaos on a critical Fermi surface
- Measurement of many-body chaos using a quantum clock
- Onset of many-body chaos in the model
- Thermal diffusivity and chaos in metals without quasiparticles
- Universal Diffusion in Incoherent Black Holes
- Absence of disorder-driven metal-insulator transitions in simple holographic models
- An upper bound on transport
- Universal conductivity and central charges
- Universal relaxational dynamics near two-dimensional quantum-critical points
- Anomalous Thermal Diffusivity in Underdoped YBaCuO
- Diffusion and Chaos from near AdS horizons
- Energy diffusion and the butterfly effect in inhomogeneous Sachdev-Ye-Kitaev chains
- Quantum thermalization dynamics with Matrix-Product States
- Null Geodesics, Local CFT Operators and AdS/CFT for Subregions
- Charge diffusion and the butterfly effect in striped holographic matter
- Conductivity of a strange metal: from holography to memory functions
- Hydrodynamic transport in strongly coupled disordered quantum field theories
- Higher derivative corrections to incoherent metallic transport in holography
- Diffusivities bounds and chaos in holographic Horndeski theories
- Universal Logarithmic Scrambling in Many Body Localization
- Kinetic theory of transport for inhomogeneous electron fluids
- Incoherent thermal transport from dirty black holes
- Hydrodynamic theory of quantum fluctuating superconductivity
- Interferometric Approach to Probing Fast Scrambling
- Resistivity bound for hydrodynamic bad metals
- Butterfly velocity and bulk causal structure
- Diffusion and Butterfly Velocity at Finite Density
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- Hydrodynamics of electrons in graphene
- Operator size at finite temperature and Planckian bounds on quantum dynamics
- Noisy Coupled Qubits: Operator Spreading and the Fredrickson-Andersen Model
- Slow relaxation and diffusion in holographic quantum critical phases
- Universal Bounds on Transport in Holographic Systems with Broken Translations
- Many-body Chaos in Thermalised Fluids
- Impact of irrelevant deformations on thermodynamics and transport in holographic quantum critical states
- Quantum butterfly effect in polarized Floquet systems
- Matrix product states approaches to operator spreading in ergodic quantum systems
- Quantum Scrambling and State Dependence of the Butterfly Velocity
- Boomerang RG flows with intermediate conformal invariance
- Upper bound of the charge diffusion constant in holography
- Diffusion for Holographic Lattices
- Diffusivities bounds in the presence of Weyl corrections