Fast Scramblers, Horizons and Expander Graphs

Abstract

We propose that local quantum systems defined on expander graphs provide a simple microscopic model for thermalization on quantum horizons. Such systems are automatically fast scramblers and are motivated from the membrane paradigm by a conformal transformation to the so-called optical metric.

22 pages, 2 figures. Added further discussion in section 3. Added references

References in corpus (10)

• Towards a derivation of holographic entanglement entropy
• Black holes as mirrors: quantum information in random subsystems
• Thermalization of Strongly Coupled Field Theories
• Holographic Evolution of Entanglement Entropy
• The arrow of time, black holes, and quantum mixing of large N Yang-Mills theories
• Evidence for fast thermalization in the plane-wave matrix model
• Evolution of Two-Point Functions from Holography
• A Matrix Model for Black Hole Thermalization
• Fast Scramblers and Non-Commutative Gauge Theories
• Fast Scramblers Of Small Size

Cited by in corpus (22)

• Jerusalem Lectures on Black Holes and Quantum Information
• Time Dependence of Hawking Radiation Entropy
• Universality in Chaos of Particle Motion near Black Hole Horizon
• Black holes, complexity and quantum chaos
• Treelike interactions and fast scrambling with cold atoms
• Fast scrambling on sparse graphs
• Large N classical dynamics of holographic matrix models
• Explicit Hamiltonians Inducing Volume Law for Entanglement Entropy in Fermionic Lattices
• On operator growth and emergent Poincaré symmetries
• Black holes as random particles: entanglement dynamics in infinite range and matrix models
• Modular discretization of the AdS2/CFT1 Holography
• Geometry And Quantum Noise
• Operator growth bounds in a cartoon matrix model
• De Finetti theorems and entanglement in large-N theories and gravity
• Causality bounds chaos in geodesic motions
• Tearing down spacetime with quantum disentanglement
• Decoherence and Microscopic Diffusion at SYK
• Complexity is not Enough for Randomness
• Fast Scramblers And Ultrametric Black Hole Horizons
• Membrane Paradigm, Gravitational $\Theta$-Term and Gauge/Gravity Duality
• Codification Volume of an operator algebra and its irreversible growth through thermal processes
• Multipoint entanglement in disordered systems