Universality in the tripartite information after global quenches: (generalised) quantum XY models

Abstract

We consider the Rényi-$\alpha$ tripartite information $I_3^{(\alpha )}$ of three adjacent subsystems in the stationary state emerging after global quenches in noninteracting spin chains from both homogeneous and bipartite states. We identify settings in which $I_3^{(\alpha )}$ remains nonzero also in the limit of infinite lengths and develop an effective quantum field theory description of free fermionic fields on a ladder. We map the calculation into a Riemann-Hilbert problem with a piecewise constant matrix for a doubly connected domain. We find an explicit solution for $\alpha =2$ and an implicit one for $\alpha >2$. In the latter case, we develop a rapidly convergent perturbation theory that we use to derive analytic formulae approximating $I_3^{(\alpha )}$ with outstanding accuracy.

References in corpus (87)

• Quantum entanglement
• 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
• Entanglement in quantum critical phenomena
• Topological entanglement entropy
• Geometric and Renormalized Entropy in Conformal Field Theory
• Relaxation in a Completely Integrable Many-Body Quantum System: An Ab Initio Study of the Dynamics of the Highly Excited States of Lattice Hard-Core Bosons
• Evolution of Entanglement Entropy in One-Dimensional Systems
• Quantum many-body systems out of equilibrium
• Quantum thermalization through entanglement in an isolated many-body system
• Equilibration, thermalisation, and the emergence of statistical mechanics in closed quantum systems
• Chaos in quantum channels
• Generalized Gibbs ensemble in integrable lattice models
• Entanglement entropy in free quantum field theory
• On the quantum, classical and total amount of correlations in a quantum state
• Spectral Gap and Exponential Decay of Correlations
• Eigenstate Thermalization Hypothesis
• Entanglement Renyi entropies in holographic theories
• Entanglement and thermodynamics after a quantum quench in integrable systems
• Quantum Spin Chain, Toeplitz Determinants and Fisher-Hartwig Conjecture
• Universality of Entropy Scaling in 1D Gap-less Models
• Entanglement entropy of two disjoint intervals in conformal field theory
• Form factors of branch-point twist fields in quantum integrable models and entanglement entropy
• Holographic Mutual Information is Monogamous
• Entanglement and alpha entropies for a massive Dirac field in two dimensions
• Entanglement dynamics after quantum quenches in generic integrable systems
• Remarks on the entanglement entropy for disconnected regions
• Quantum Quench in the Transverse Field Ising Chain II: Stationary State Properties
• Quantum Information Theory of Entanglement and Measurement
• Reduced density matrix and internal dynamics for multicomponent regions
• Entanglement entropy of excited states
• Entanglement negativity in the harmonic chain out of equilibrium
• Entanglement Entropy and Twist Fields
• Holographic evolution of the mutual information
• Entanglement entropy of two disjoint blocks in critical Ising models
• Entanglement evolution and generalised hydrodynamics: noninteracting systems
• Non-equilibrium steady states in the quantum XXZ spin chain
• Spread of entanglement and causality
• Mutual information after a local quench in conformal field theory
• Determination of the Nonequilibrium Steady State Emerging from a Defect
• On short interval expansion of Rényi entropy
• On Rényi entropies of disjoint intervals in conformal field theory
• Entanglement evolution and generalised hydrodynamics: interacting integrable systems
• Quantum chaos in the Brownian SYK model with large finite $N$: OTOCs and tripartite information
• Entropy and modular Hamiltonian for a free chiral scalar in two intervals
• Inhomogeneous Quantum Quenches
• On reduced density matrices for disjoint subsystems
• Entanglement between Two Interacting CFTs and Generalized Holographic Entanglement Entropy
• Quantum information scrambling after a quantum quench
• Holographic entanglement entropy: near horizon geometry and disconnected regions
• Excited state entanglement in homogeneous fermionic chains
• Quantum Corrections to Holographic Mutual Information
• Improved thermal area law and quasi-linear time algorithm for quantum Gibbs states
• Domain-wall melting in the spin-$1/2$ XXZ spin chain: emergent Luttinger liquid with fractal quasi-particle charge
• Area law violation for the mutual information in a nonequilibrium steady state
• Entanglement Negativity and Mutual Information after a Quantum Quench: Exact Link from Space-Time Duality
• A note on the Full Counting Statistics of paired fermions
• Spreading of entanglement and correlations after a quench with intertwined quasiparticles
• Locally quasi-stationary states in noninteracting spin chains
• Charges and currents in quantum spin chains: late-time dynamics and spontaneous currents
• Entangled multiplets and unusual spreading of quantum correlations in a continuously monitored tight-binding chain
• Area terms in entanglement entropy
• Holographic View on Quantum Correlations and Mutual Information between Disjoint Blocks of a Quantum Critical System
• Entanglement entropy between two coupled Tomonaga-Luttinger liquids
• Tripartite information, scrambling, and the role of Hilbert space partitioning in quantum lattice models
• Mutual information challenges entropy bounds
• Entanglement Entropy of Two Spheres
• Magnetization and entanglement after a geometric quench in the XXZ chain
• Exponential decay of mutual information for Gibbs states of local Hamiltonians
• New insights into the entanglement of disjoint blocks
• Quantum Entanglement and Thermal Reduced Density Matrices in Fermion and Spin Systems on Ladders
• Multi-charged moments of two intervals in conformal field theory
• Mutual information area laws for thermal free fermions
• Holographic Rényi entropy in AdS${}_3$/LCFT${}_2$ correspondence
• The entanglement and relative entropy of a chiral fermion on the torus
• Entanglement of two disjoint intervals in conformal field theory and the 2D Coulomb gas on a lattice
• Entanglement entropy for non-coplanar regions in quantum field theory
• Tripartite information at long distances
• Large distance expansion of Mutual Information for disjoint disks in a free scalar theory
• Analytical results for the entanglement dynamics of disjoint blocks in the XY spin chain
• Global Quenches after Localised Perturbations
• Multipartite information of free fermions on Hamming graphs
• Entanglement of a chiral fermion on the torus
• Purification and scrambling in a chaotic Hamiltonian dynamics with measurements
• Mutual information for fermionic systems

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• Clustering of conditional mutual information and quantum Markov structure at arbitrary temperatures
• Universality in the tripartite information after global quenches: spin flip and semilocal charges
• No eigenstate of the critical transverse-field Ising chain satisfies the area law
• Macroscopic Quantum States and Universal Correlations in a Disorder-Order Interface Propagating over a 1D Ground State