Entanglement evolution and generalised hydrodynamics: interacting integrable systems

Abstract

We investigate the dynamics of bipartite entanglement after the sudden junction of two leads in interacting integrable models. By combining the quasiparticle picture for the entanglement spreading with Generalised Hydrodynamics we derive an analytical prediction for the dynamics of the entanglement entropy between a finite subsystem and the rest. We find that the entanglement rate between the two leads depends only on the physics at the interface and differs from the rate of exchange of thermodynamic entropy. This contrasts with the behaviour in free or homogeneous interacting integrable systems, where the two rates coincide.

33 pages, 8 figures; v2 32 pages, 8 figures, improved presentation; v3 32 pages, 8 figures, minor modifications

References in corpus (102)

• Separability Criterion for Density Matrices
• A computable measure of entanglement
• The density-matrix renormalization group in the age of matrix product states
• From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
• 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
• Quantum thermalization through entanglement in an isolated many-body system
• Equilibration, thermalisation, and the emergence of statistical mechanics in closed quantum systems
• Transport in Out-of-Equilibrium XXZ Chains: Exact Profiles of Charges and Currents
• Quantum entanglement in condensed matter systems
• Operator Spreading in Random Unitary Circuits
• Generalized Gibbs ensemble in integrable lattice models
• Quantum Entanglement Growth Under Random Unitary Dynamics
• Quench dynamics and relaxation in isolated integrable quantum spin chains
• Emergent hydrodynamics in integrable quantum systems out of equilibrium
• Ballistic spreading of entanglement in a diffusive nonintegrable system
• Entanglement negativity in quantum field theory
• Entanglement and thermodynamics after a quantum quench in integrable systems
• Entropy scaling and simulability by Matrix Product States
• Evolution of entanglement entropy following a quantum quench: Analytic results for the XY chain in a transverse magnetic field
• Entanglement Tsunami: Universal Scaling in Holographic Thermalization
• Real time confinement following a quantum quench to a non-integrable model
• Generalized HydroDynamics on an Atom Chip
• Hydrodynamic Diffusion in Integrable Systems
• Entanglement Entropy dynamics in Heisenberg chains
• Spreading of correlations and entanglement after a quench in the one-dimensional Bose-Hubbard model
• A comparison of entanglement measures
• Can One Trust Quantum Simulators?
• Hydrodynamics of operator spreading and quasiparticle diffusion in interacting integrable systems
• Bethe-Boltzmann Hydrodynamics and Spin Transport in the XXZ Chain
• Soliton gases and generalized hydrodynamics
• Entanglement dynamics after quantum quenches in generic integrable systems
• On the volume of the set of mixed entangled states II
• "Light-cone" dynamics after quantum quenches in spin chains
• Solvable Hydrodynamics of Quantum Integrable Systems
• Conformal Field Theory for Inhomogeneous One-dimensional Quantum Systems: the Example of Non-Interacting Fermi Gases
• Kinetic theory of spin diffusion and superdiffusion in XXZ spin chains
• Diffusion in generalized hydrodynamics and quasiparticle scattering
• Large-scale description of interacting one-dimensional Bose gases: generalized hydrodynamics supersedes conventional hydrodynamics
• Microscopic origin of ideal conductivity in integrable quantum models
• The Quench Action
• What is an integrable quench?
• Ballistic transport in the one-dimensional Hubbard model: the hydrodynamic approach
• Partial Teleportation of Entanglement in the Noisy Environment
• Transport in out-of-equilibrium XXZ chains: non-ballistic behavior and correlation functions
• Analytic solution of the Domain Wall non-equilibrium stationary state
• Entanglement spreading in a minimal model of maximal many-body quantum chaos
• Microscopic diagonal entropy and its connection to basic thermodynamic relations
• Entanglement Scrambling in 2d Conformal Field Theory
• A note on generalized hydrodynamics: inhomogeneous fields and other concepts
• Dynamics of hard rods with initial domain wall state
• A geometric viewpoint on generalized hydrodynamics
• Entanglement growth and correlation spreading with variable-range interactions in spin and fermionic tunnelling models
• Entropy of isolated quantum systems after a quench
• Drude Weight for the Lieb-Liniger Bose Gas
• Entanglement scaling of operators: a conformal field theory approach, with a glimpse of simulability of long-time dynamics in 1+1d
• The microscopic origin of thermodynamic entropy in isolated systems
• Inhomogeneous field theory inside the arctic circle
• Non-equilibrium spin transport in integrable spin chains: persistent currents and emergence of magnetic domains
• Higher-Order Hydrodynamics in 1D: a Promising Direction and a Null Result
• Entanglement negativity after a global quantum quench
• Entanglement evolution and generalised hydrodynamics: noninteracting systems
• On entropy growth and the hardness of simulating time evolution
• Spread of entanglement and causality
• Entanglement and quantum transport in integrable systems
• Determination of the Nonequilibrium Steady State Emerging from a Defect
• Quench action and Renyi entropies in integrable systems
• Global characteristics of all eigenstates of local many-body Hamiltonians: participation ratio and entanglement entropy
• Exact large-scale correlations in integrable systems out of equilibrium
• Entanglement Growth after a Global Quench in Free Scalar Field Theory
• Generalized hydrodynamics of classical integrable field theory: the sinh-Gordon model
• Entanglement dynamics in short and long-range harmonic oscillators
• Multi-speed prethermalization in spin models with power-law decaying interactions
• Emergence of curved light-cones in a class of inhomogeneous Luttinger liquids
• Quantum thermalization dynamics with Matrix-Product States
• Hybrid semiclassical theory of quantum quenches in one dimensional systems
• Entanglement in a periodic quench
• Correlations and diagonal entropy after quantum quenches in XXZ chains
• Finite-size corrections vs. relaxation after a sudden quench
• Spin-charge separation effects in the low-temperature transport of 1D Fermi gases
• Rényi entropies after releasing the Néel state in the XXZ spin-chain
• Energy transport in an integrable parafermionic chain via generalized hydrodynamics
• Exact solution for the quench dynamics of a nested integrable system
• Front dynamics and entanglement in the XXZ chain with a gradient
• Stationary entanglement entropies following an interaction quench in 1D Bose gas
• Universal broadening of the light cone in low-temperature transport
• Entanglement Tsunami in (1+1)-Dimensions
• 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
• Charges and currents in quantum spin chains: late-time dynamics and spontaneous currents
• On Classical Integrability of the Hydrodynamics of Quantum Integrable Systems
• Low-Temperature Transport in Out-of-Equilibrium XXZ Chains
• Global large time dynamics and the generalized Gibbs ensemble
• Entanglement and diagonal entropies after a quench with no pair structure
• Entanglement Evolution in Lifshitz-type Scalar Theories
• Rényi entropies of generic thermodynamic macrostates in integrable systems
• Hydrodynamical phase transition for domain-wall melting in the XY chain
• Dynamical manifestation of Gibbs paradox after a quantum quench
• Coarse-grained dynamics of operator and state entanglement
• Entanglement evolution across a conformal interface

Cited by in corpus (69)

• Finite-temperature transport in one-dimensional quantum lattice models
• Lecture notes on Generalised Hydrodynamics
• Generalized hydrodynamics with space-time inhomogeneous interactions
• Quasiparticle dynamics of symmetry resolved entanglement after a quench: the examples of conformal field theories and free fermions
• Spreading of correlations in Markovian open quantum systems
• Hydrodynamics of weak integrability breaking
• Few-body Bose gases in low dimensions -- a laboratory for quantum dynamics
• Thermalisation of a trapped one-dimensional Bose gas via diffusion
• Quantum information scrambling after a quantum quench
• Generalised hydrodynamics with dephasing noise
• Temporal entanglement, quasiparticles and the role of interactions
• Entanglement spreading in non-equilibrium integrable systems
• Anomalous relaxation and the high-temperature structure factor of XXZ spin chains
• Entanglement dynamics in Rule 54: Exact results and quasiparticle picture
• Enhanced entanglement negativity in boundary driven monitored fermionic chains
• Domain-wall melting in the spin-$1/2$ XXZ spin chain: emergent Luttinger liquid with fractal quasi-particle charge
• The Folded Spin-1/2 XXZ Model: II. Thermodynamics and Hydrodynamics with a Minimal Set of Charges
• Entanglement revivals as a probe of scrambling in finite quantum systems
• Locally quasi-stationary states in noninteracting spin chains
• Inhomogeneous conformal field theory out of equilibrium
• Dynamics of charge fluctuations from asymmetric initial states
• Dissipative quasi-particle picture for quadratic Markovian open quantum systems
• Anomalous transport from hot quasiparticles in interacting spin chains
• Generalized hydrodynamics: a perspective
• Introducing iFluid: a numerical framework for solving hydrodynamical equations in integrable models
• Generalized Hydrodynamic approach to charge and energy currents in the one-dimensional Hubbard model
• Hydrodynamics of quantum entropies in Ising chains with linear dissipation
• Exact entanglement growth of a one-dimensional hard-core quantum gas during a free expansion
• Exact hydrodynamic solution of a double domain wall melting in the spin-1/2 XXZ model
• Generalized hydrodynamics study of the one-dimensional Hubbard model: Stationary clogging and proportionality of spin, charge, and energy currents
• Ballistic transport and boundary resistances in inhomogeneous quantum spin chains
• Dynamics of large deviations in the hydrodynamic limit: Non-interacting systems
• Entanglement growth after inhomogenous quenches
• Euler-scale dynamical correlations in integrable systems with fluid motion
• Entanglement Dynamics after a Quench in Ising Field Theory: A Branch Point Twist Field Approach
• Prethermalisation and Thermalisation in the Entanglement Dynamics
• Adiabatic formation of bound states in the 1d Bose gas
• Entanglement spreading and quasiparticle picture beyond the pair structure
• Linearized regime of the generalized hydrodynamics with diffusion
• Euler-scale dynamical fluctuations in non-equilibrium interacting integrable systems
• Molecular dynamics simulation of entanglement spreading in generalized hydrodynamics
• Interplay between transport and quantum coherences in free fermionic systems
• Scaling of fronts and entanglement spreading during a domain wall melting
• Emergent ballistic transport of Bose-Fermi mixtures in one dimension
• Entanglement front generated by an impurity travelling in an isolated many-body quantum system
• Generalized-Hydrodynamic approach to Inhomogeneous Quenches: Correlations, Entanglement and Quantum Effects
• Nonequilibrium symmetry-protected topological order: emergence of semilocal Gibbs ensembles
• Quench dynamics in lattices above one dimension: the free fermionic case
• Entanglement dynamics of thermofield double states in integrable models
• Universality in the tripartite information after global quenches: (generalised) quantum XY models
• Quasiparticle Picture for Entanglement Hamiltonians in Higher Dimensions
• Navier-Stokes Equations for Low-Temperature One-Dimensional Fluids
• Quench dynamics of Rényi negativities and the quasiparticle picture
• Connected correlations in partitioning protocols: a case study and beyond
• Generalized hydrodynamics of integrable quantum circuits
• Experimental Investigation of a Bipartite Quench in a 1D Bose gas
• Exact quench dynamics of symmetry resolved entanglement in a free fermion chain
• Quantum Generalized Hydrodynamics of the Tonks-Girardeau gas: density fluctuations and entanglement entropy
• Quench dynamics of entanglement entropy under projective charge measurements: the free fermion case
• Nonlinear entanglement growth in inhomogeneous spacetimes
• Growth of Rényi Entropies in Interacting Integrable Models and the Breakdown of the Quasiparticle Picture
• Quench-Probe Setup as Analyzer of Fractionalized Entanglement Spreading
• Entanglement of Stationary States in the Presence of Unstable Quasiparticles
• Dynamics of charge-imbalance-resolved entanglement negativity after a quench in a free-fermion model
• Fate of entanglement in quadratic Markovian dissipative systems
• Full counting statistics after quantum quenches as hydrodynamic fluctuations
• Thermodynamic symmetry resolved entanglement entropies in integrable systems
• Bound-state confinement after trap-expansion dynamics in integrable systems
• Macroscopic Quantum States and Universal Correlations in a Disorder-Order Interface Propagating over a 1D Ground State