Signature of quantum chaos in operator entanglement in 2d CFTs
arXiv:1812.00013 · doi:10.1088/1742-5468/ab3a29
Abstract
We study operator entanglement measures of the unitary evolution operators of (1+1)-dimensional conformal field theories (CFTs), aiming to uncover their scrambling and chaotic behaviors. In particular, we compute the bi-partite and tri-partite mutual information for various configurations of input and output subsystems, and as a function of time. We contrast three different CFTs: the free fermion theory, compactified free boson theory at various radii, and CFTs with holographic dual. We find that the bi-partite mutual information exhibits distinct behaviors for these different CFTs, reflecting the different information scrambling capabilities of these unitary operators; while a quasi-particle picture can describe well the case the free fermion and free boson CFTs, it completely fails for the case of holographic CFTs. Similarly, the tri-partite mutual information also distinguishes the unitary evolution operators of different CFTs. In particular, its late-time behaviors, when the output subsystems are semi-infinite, are quite distinct for these theories. We speculate that for holographic theories the late-time saturation value of the tri-partite mutual information takes the largest possible negative value and saturates the lower bound among quantum field theories.
arXiv comment69 pages, 29 figures
References in corpus (65)
- Holographic Derivation of Entanglement Entropy from AdS/CFT
- Entanglement Entropy and Quantum Field Theory
- Chaos and Quantum Thermalization
- Thermalization and its mechanism for generic isolated quantum systems
- Area laws for the entanglement entropy - a review
- Nonequilibrium dynamics of closed interacting quantum systems
- From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
- A bound on chaos
- Aspects of Holographic Entanglement Entropy
- Gapless Spin-Fluid Ground State in a Random Quantum Heisenberg Magnet
- Black holes and the butterfly effect
- Black holes as mirrors: quantum information in random subsystems
- Evolution of Entanglement Entropy in One-Dimensional Systems
- Time-dependence of correlation functions following a quantum quench
- Fast Scramblers
- Equilibration, thermalisation, and the emergence of statistical mechanics in closed quantum systems
- Holographic quantum error-correcting codes: Toy models for the bulk/boundary correspondence
- Complexity and Shock Wave Geometries
- Time Evolution of Entanglement Entropy from Black Hole Interiors
- Operator Spreading in Random Unitary Circuits
- Chaos in quantum channels
- Quantum Entanglement Growth Under Random Unitary Dynamics
- Localized shocks
- Complexity, action, and black holes
- Operator hydrodynamics, OTOCs, and entanglement growth in systems without conservation laws
- Time evolution of local observables after quenching to an integrable model
- Black Holes and Random Matrices
- Entanglement Renyi entropies in holographic theories
- Traversable Wormholes via a Double Trace Deformation
- Operator spreading and the emergence of dissipative hydrodynamics under unitary evolution with conservation laws
- Entanglement and thermodynamics after a quantum quench in integrable systems
- Multiple Shocks
- Two-dimensional conformal field theory and the butterfly effect
- Towards the fast scrambling conjecture
- Entanglement Tsunami: Universal Scaling in Holographic Thermalization
- Entanglement entropy of two disjoint intervals in conformal field theory
- Diving into traversable wormholes
- Form factors of branch-point twist fields in quantum integrable models and entanglement entropy
- Entanglement negativity in extended systems: A field theoretical approach
- Entanglement dynamics after quantum quenches in generic integrable systems
- Correlation functions for M^N/S_N orbifolds
- Entanglement growth during thermalization in holographic systems
- On entanglement spreading in chaotic systems
- Operator growth in the SYK model
- Holographic Geometry of Entanglement Renormalization in Quantum Field Theories
- Entanglement Scrambling in 2d Conformal Field Theory
- Velocity-dependent Lyapunov exponents in many-body quantum, semi-classical, and classical chaos
- Bounding the Space of Holographic CFTs with Chaos
- Entanglement scaling of operators: a conformal field theory approach, with a glimpse of simulability of long-time dynamics in 1+1d
- Entanglement evolution and generalised hydrodynamics: noninteracting systems
- Spread of entanglement and causality
- Entanglement and quantum transport in integrable systems
- Quench action and Renyi entropies in integrable systems
- 2D CFT Partition Functions at Late Times
- Scrambling time from local perturbations of the eternal BTZ black hole
- Holographic Geometry of cMERA for Quantum Quenches and Finite Temperature
- Scrambling without chaos in RCFT
- Rényi entropies after releasing the Néel state in the XXZ spin-chain
- On entanglement spreading from holography
- Entanglement Tsunami in (1+1)-Dimensions
- Fractional Statistics and the Butterfly Effect
- Mutual information between thermo-field doubles and disconnected holographic boundaries
- Rényi entropies of generic thermodynamic macrostates in integrable systems
- Out-of-Time-Ordered Correlators in
- Chaos and relative entropy
Cited by in corpus (34)
- Does scrambling equal chaos?
- Holographic Pseudo Entropy
- A statistical mechanism for operator growth
- Operator and entanglement growth in non-thermalizing systems: many-body localization and the random singlet phase
- Quantum vs. classical information: operator negativity as a probe of scrambling
- Entangled multiplets and unusual spreading of quantum correlations in a continuously monitored tight-binding chain
- Conformal field theory and the web of quantum chaos diagnostics
- Markovian Entanglement Dynamics under Locally Scrambled Quantum Evolution
- Dynamics of Fluctuations in Quantum Simple Exclusion Processes
- Entanglement of Local Operators and the Butterfly Effect
- Scrambling and Lyapunov Exponent in Unitary Networks with Tunable Interactions
- Subregion Spectrum Form Factor via Pseudo Entropy
- Barrier from chaos: operator entanglement dynamics of the reduced density matrix
- Scrambling and Recovery of Quantum Information in Inhomogeneous Quenches in Two-dimensional Conformal Field Theories
- Rényi Mutual Information in Quantum Field Theory
- Angular momentum and chaos bound of charged particles around Einstein-Euler-Heisenberg AdS black holes
- Refined quantum Lyapunov exponents from replica out-of-time-order correlators
- Information Scrambling with Conservation Laws
- Quantifying information scrambling via Classical Shadow Tomography on Programmable Quantum Simulators
- Information Scrambling Versus Quantum Revival Through the Lens of Operator Entanglement
- Negative tripartite mutual information after quantum quenches in integrable systems
- Multi-Region Entanglement in Locally Scrambled Quantum Dynamics
- Entanglement Dynamics of the Non-Unitary Holographic Channel
- Local Operator Entanglement in Spin Chains
- Classical and quantum butterfly effect in nonlinear vector mechanics
- Hayden-Preskill Recovery in Hamiltonian Systems
- Quantifying operator spreading and chaos in Krylov subspaces with quantum state reconstruction
- Dynamics of logarithmic negativity and mutual information in smooth quenches
- Monte Carlo Simulation of Operator Dynamics and Entanglement in Dual-Unitary Circuits
- Symmetry Properties of Quantum Dynamical Entropy
- Fast Scrambling in Classically Simulable Quantum Circuits
- Generalised Entanglement Entropies from Unit-Invariant Singular Value Decomposition
- Logarithmic growth of operator entanglement in a clean non-integrable circuit
- Information acquisition, scrambling, and sensitivity to errors in quantum chaos