Quantum information dynamics in multipartite integrable systems

Abstract

In a non-equilibrium many-body system, the quantum information dynamics between non-complementary regions is a crucial feature to understand the local relaxation towards statistical ensembles. Unfortunately, its characterization is a formidable task, as non-complementary parts are generally in a mixed state. We show that for integrable systems, this quantum information dynamics can be quantitatively understood within the quasiparticle picture for the entanglement spreading. Precisely, we provide an exact prediction for the time evolution of the logarithmic negativity after a quench. In the space-time scaling limit of long times and large subsystems, the negativity becomes proportional to the Rényi mutual information with Rényi index $\alpha =1/2$. We provide robust numerical evidence for the validity of our results for free-fermion and free-boson models, but our framework applies to any interacting integrable system.

arXiv comment7 pages, 3 figures. As published in EPL

References in corpus (111)

• Separability Criterion for Density Matrices
• A computable measure of entanglement
• The density-matrix renormalization group in the age of matrix product states
• Chaos and Quantum Thermalization
• Thermalization and its mechanism for generic isolated quantum systems
• From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
• 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
• The logarithmic negativity: A full entanglement monotone that is not convex
• On the volume of the set of mixed entangled states
• Evolution of Entanglement Entropy in One-Dimensional Systems
• Time-dependence of correlation functions following a quantum quench
• Quantum thermalization through entanglement in an isolated many-body system
• Equilibration, thermalisation, and the emergence of statistical mechanics in closed quantum systems
• Quantum Quench in the Transverse Field Ising Chain
• Generalized Gibbs ensemble in integrable lattice models
• Experimental Observation of a Generalized Gibbs Ensemble
• Probing entanglement entropy via randomized measurements
• Time evolution of local observables after quenching to an integrable model
• Ballistic spreading of entanglement in a diffusive nonintegrable system
• Complete Generalized Gibbs Ensemble in an interacting Theory
• Entanglement negativity in quantum field theory
• Entanglement and thermodynamics after a quantum quench in integrable systems
• Exact relaxation in a class of non-equilibrium quantum lattice systems
• Entropy scaling and simulability by Matrix Product States
• Entanglement Properties of the Harmonic Chain
• Dephasing and the steady state in quantum many-particle systems
• Evolution of entanglement entropy following a quantum quench: Analytic results for the XY chain in a transverse magnetic field
• Real time confinement following a quantum quench to a non-integrable model
• Alternatives to Eigenstate Thermalization
• Reduced Density Matrix after a Quantum Quench
• Quench dynamics across quantum critical points
• A comparison of entanglement measures
• Can One Trust Quantum Simulators?
• Emergent statistical mechanics of entanglement in random unitary circuits
• Entanglement dynamics after quantum quenches in generic integrable systems
• Symmetry-resolved entanglement in many-body systems
• On the volume of the set of mixed entangled states II
• Rényi Entropies from Random Quenches in Atomic Hubbard and Spin Models
• "Light-cone" dynamics after quantum quenches in spin chains
• Partial Teleportation of Entanglement in the Noisy Environment
• A quantum central limit theorem for non-equilibrium systems: Exact local relaxation of correlated states
• Entanglement entropy of two disjoint blocks in XY chains
• Entanglement Scrambling in 2d Conformal Field Theory
• Validity of the GGE for quantum quenches from interacting to noninteracting models
• Partial time-reversal transformation and entanglement negativity in fermionic systems
• Nonthermal states arising from confinement in one and two dimensions
• Entanglement negativity in the harmonic chain out of equilibrium
• The microscopic origin of thermodynamic entropy in isolated systems
• Holographic evolution of the mutual information
• Machine Learning Assisted Many-Body Entanglement Measurement
• Entanglement negativity and topological order
• Entanglement evolution and generalised hydrodynamics: noninteracting systems
• Negativity and topological order in the toric code
• Dynamics of entanglement and transport in 1D systems with quenched randomness
• Quantum Quenches in the Thermodynamic Limit
• Negativity as the Entanglement Measure to Probe the Kondo Regime in the Spin-Chain Kondo Model
• On entropy growth and the hardness of simulating time evolution
• Critical and noncritical long range entanglement in the Klein-Gordon field
• On the partial transpose of fermionic Gaussian states
• The entanglement negativity in random spin chains
• Edge theory approach to topological entanglement entropy, mutual information and entanglement negativity in Chern-Simons theories
• Scaling of entanglement between separated blocks in spin chains at criticality
• Entanglement and quantum transport in integrable systems
• Quench action and Renyi entropies in integrable systems
• Entanglement negativity of fermions: monotonicity, separability criterion, and classification of few-mode states
• Global characteristics of all eigenstates of local many-body Hamiltonians: participation ratio and entanglement entropy
• Universality in volume law entanglement of pure quantum states
• Comments on Entanglement Negativity in Holographic Field Theories
• Entanglement negativity and entropy in non-equilibrium conformal field theory
• Many-body topological invariants for fermionic symmetry-protected topological phases
• Entanglement probe of two-impurity Kondo physics in a spin chain
• Thermalization of mutual and tripartite information in strongly coupled two dimensional conformal field theories
• Many-body topological invariants for fermionic short-range entangled topological phases protected by antiunitary symmetries
• Conformal Blocks and Negativity at Large Central Charge
• Entanglement negativity after a local quantum quench in conformal field theories
• Universality of the negativity in the Lipkin-Meshkov-Glick model
• Multi-speed prethermalization in spin models with power-law decaying interactions
• Entanglement negativity bounds for fermionic Gaussian states
• Entanglement entropy and negativity of disjoint intervals in CFT: Some numerical extrapolations
• Universal Scaling Laws for Correlation Spreading in Quantum Systems with Short- and Long-Range Interactions
• Negativity spectrum of one-dimensional conformal field theories
• Hybrid semiclassical theory of quantum quenches in one dimensional systems
• Fundamental Asymmetry in Quenches Between Integrable and Nonintegrable Systems
• Full Counting Statistics in the Transverse Field Ising Chain
• An order parameter for impurity systems at quantum criticality
• Many-body topological invariants in fermionic symmetry protected topological phases: Cases of point group symmetries
• Measuring Fermionic Entanglement: Entropy, Negativity, and Spin Structure
• Entanglement negativity in two-dimensional free lattice models
• Nonzero temperature Entanglement Negativity of quantum spin models: Area law, Linked Cluster Expansions and Sudden Death
• Topological entanglement negativity in Chern-Simons theories
• Rényi entropies after releasing the Néel state in the XXZ spin-chain
• Finding purifications with minimal entanglement
• Finite-temperature entanglement negativity of free fermions
• Singularity in Entanglement Negativity Across Finite Temperature Phase Transitions
• Branch Point Twist Field Correlators in the Massive Free Boson Theory
• Spreading of correlations in exactly-solvable quantum models with long-range interactions in arbitrary dimensions
• Entanglement negativity in a two dimensional harmonic lattice: Area law and corner contributions
• Spreading of entanglement and correlations after a quench with intertwined quasiparticles
• Towards a Generalized Hydrodynamics description of Rényi entropies in integrable systems
• Entanglement growth and simulation efficiency in one-dimensional quantum lattice systems
• Entanglement structure of the two-channel Kondo model
• Entanglement negativity and sudden death in the toric code at finite temperature
• Partial transpose of two disjoint blocks in XY spin chains
• Rényi entropies of generic thermodynamic macrostates in integrable systems
• Estimation for Entanglement Negativity of Free Fermions
• Positivity, negativity, and entanglement
• Dynamical manifestation of Gibbs paradox after a quantum quench
• Entanglement negativity in free-fermion systems: An overlap matrix approach
• Sharp entanglement thresholds in the logarithmic negativity of disjoint blocks in the transverse-field Ising chain
• Real time evolution at finite temperatures with operator space matrix product states
• Distilling topological entropy from single entanglement measures on projected systems

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• Mixed-state entanglement from local randomized measurements
• Quasiparticle dynamics of symmetry resolved entanglement after a quench: the examples of conformal field theories and free fermions
• Scrambling in Random Unitary Circuits: Exact Results
• Spreading of correlations in Markovian open quantum systems
• Symmetry-resolved dynamical purification in synthetic quantum matter
• Symmetry decomposition of negativity of massless free fermions
• Twisted and untwisted negativity spectrum of free fermions
• Quantum information scrambling after a quantum quench
• Entanglement spreading in non-equilibrium integrable systems
• Entanglement barrier and its symmetry resolution: theory and experiment
• Correlation measures and the entanglement wedge cross-section after quantum quenches in two-dimensional conformal field theories
• Enhanced entanglement negativity in boundary driven monitored fermionic chains
• Entanglement revivals as a probe of scrambling in finite quantum systems
• Entanglement Negativity and Mutual Information after a Quantum Quench: Exact Link from Space-Time Duality
• 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
• Dissipative quasi-particle picture for quadratic Markovian open quantum systems
• Entangled multiplets, asymmetry, and quantum Mpemba effect in dissipative systems
• Markovian Entanglement Dynamics under Locally Scrambled Quantum Evolution
• The Negativity Hamiltonian: An operator characterization of mixed-state entanglement
• Hydrodynamics of quantum entropies in Ising chains with linear dissipation
• Negativity Spectrum in the Random Singlet Phase
• The quasi-particle picture and its breakdown after local quenches: mutual information, negativity, and reflected entropy
• Noninteracting fermionic systems with localized losses: Exact results in the hydrodynamic limit
• The negativity contour: a quasi-local measure of entanglement for mixed states
• Time evolution of entanglement negativity across a defect
• Quenching from superfluid to free bosons in two dimensions: entanglement, symmetries, and quantum Mpemba effect
• Logarithmic negativity in out-of-equilibrium open free-fermion chains: An exactly solvable case
• Entanglement transitions as a probe of quasiparticles and quantum thermalization
• Prethermalisation and Thermalisation in the Entanglement Dynamics
• Rényi Mutual Information in Quantum Field Theory
• Entanglement Growth and Minimal Membranes in $(d+1)$ Random Unitary Circuits
• Extensive Long-Range Entanglement in a Nonequilibrium Steady State
• Subsystem distance after a local operator quench
• Entanglement negativity in a fermionic chain with dissipative defects: Exact results
• Molecular dynamics simulation of entanglement spreading in generalized hydrodynamics
• Interplay between transport and quantum coherences in free fermionic systems
• Entanglement negativity in a nonequilibrium steady state
• Analytical results for the entanglement dynamics of disjoint blocks in the XY spin chain
• Correlation and entanglement spreading in nested spin chains
• Multipartite information of free fermions on Hamming graphs
• Symmetry-resolved entanglement in fermionic systems with dissipation
• Entanglement Hamiltonians and the quasiparticle picture
• Negative tripartite mutual information after quantum quenches in integrable systems
• Quantum information spreading in random spin chains
• Entanglement dynamics of thermofield double states in integrable models
• Generalized-Hydrodynamic approach to Inhomogeneous Quenches: Correlations, Entanglement and Quantum Effects
• Finite temperature negativity Hamiltonians of the massless Dirac fermion
• Quasiparticle Picture for Entanglement Hamiltonians in Higher Dimensions
• Condition on the Rényi Entanglement Entropy under Stochastic Local Manipulation
• Quench dynamics of Rényi negativities and the quasiparticle picture
• The Fate of Entanglement
• Symmetry protected entanglement in random mixed states
• Entanglement in dual unitary quantum circuits with impurities
• Reduced fidelities for free fermions out of equilibrium: From dynamical quantum phase transitions to Mpemba effect
• Exact quench dynamics of symmetry resolved entanglement in a free fermion chain
• Extensive Long-Range Entanglement at Finite Temperatures from a Nonequilibrium Bias
• Entanglement of electrons and the lattice in a Luttinger system
• Dynamics of logarithmic negativity and mutual information in smooth quenches
• More on the Operator Space Entanglement (OSE): Rényi OSE, revivals, and integrability breaking
• Quench dynamics of entanglement entropy under projective charge measurements: the free fermion case
• $\nu$-QSSEP: A toy model for entanglement spreading in stochastic diffusive quantum systems
• Scrambling in Ising spin systems with periodic transverse magnetic fields
• Quench dynamics of negativity Hamiltonians
• Growth of Rényi Entropies in Interacting Integrable Models and the Breakdown of the Quasiparticle Picture
• Dynamics of charge-imbalance-resolved entanglement negativity after a quench in a free-fermion model
• Fate of entanglement in quadratic Markovian dissipative systems
• Time Evolution of the Symmetry Resolved Entanglement Entropy after a Mass Quench
• Odd Entanglement Entropy and Logarithmic Negativity for Thermofield Double States