Entanglement evolution and generalised hydrodynamics: noninteracting systems
arXiv:1805.01884 · doi:10.1088/1751-8121/aad82e
Abstract
The large-scale properties of homogeneous states after quantum quenches in integrable systems have been successfully described by a semiclassical picture of moving quasiparticles. Here we consider the generalisation for the entanglement evolution after an inhomogeneous quench in noninteracting systems in the framework of generalised hydrodynamics. We focus on the protocol where two semi-infinite halves are initially prepared in different states and then joined together, showing that a proper generalisation of the quasiparticle picture leads to exact quantitative predictions. If the system is initially prepared in a quasistationary state, we find that the entanglement entropy is additive and it can be computed by means of generalised hydrodynamics. Conversely, additivity is lost when the initial state is not quasistationary; yet the entanglement entropy in the large-scale limit can be exactly predicted in the quasiparticle picture, provided that the initial state is low entangled.
arXiv comment13 pages, 4 figures
References in corpus (67)
- From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
- Evolution of Entanglement Entropy in One-Dimensional Systems
- Quantum thermalization through entanglement in an isolated many-body system
- Calculation of reduced density matrices from correlation functions
- 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
- Reduced density matrices and entanglement entropy in free lattice models
- Generalized Gibbs ensemble in integrable lattice models
- Quantum Entanglement Growth Under Random Unitary Dynamics
- Emergent hydrodynamics in integrable quantum systems out of equilibrium
- Ballistic spreading of entanglement in a diffusive nonintegrable system
- Entanglement and thermodynamics after a quantum quench in integrable 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
- Spin diffusion from an inhomogeneous quench in an integrable system
- Bethe-Boltzmann Hydrodynamics and Spin Transport in the XXZ Chain
- Soliton gases and generalized hydrodynamics
- Entanglement dynamics after quantum quenches in generic integrable systems
- Solvable Hydrodynamics of Quantum Integrable Systems
- Conformal Field Theory for Inhomogeneous One-dimensional Quantum Systems: the Example of Non-Interacting Fermi Gases
- Large-scale description of interacting one-dimensional Bose gases: generalized hydrodynamics supersedes conventional hydrodynamics
- Microscopic origin of ideal conductivity in integrable quantum models
- What is an integrable quench?
- Ballistic transport in the one-dimensional Hubbard model: the hydrodynamic approach
- Transport in out-of-equilibrium XXZ chains: non-ballistic behavior and correlation functions
- Analytic solution of the Domain Wall non-equilibrium stationary state
- Microscopic diagonal entropy and its connection to basic thermodynamic relations
- Entanglement entropy of two disjoint blocks in XY chains
- 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
- The microscopic origin of thermodynamic entropy in isolated systems
- Non-equilibrium spin transport in integrable spin chains: persistent currents and emergence of magnetic domains
- Inhomogeneous field theory inside the arctic circle
- Higher-Order Hydrodynamics in 1D: a Promising Direction and a Null Result
- Entanglement evolution and generalised hydrodynamics: noninteracting systems
- Dynamics of entanglement and transport in 1D systems with quenched randomness
- 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
- 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
- Hybrid semiclassical theory of quantum quenches in one dimensional systems
- Entanglement in a periodic quench
- Quantum quenches from excited states in the Ising chain
- Correlations and diagonal entropy after quantum quenches in XXZ chains
- Finite-size corrections vs. relaxation after a sudden quench
- Rényi entropies after releasing the Néel state in the XXZ spin-chain
- Energy transport in an integrable parafermionic chain via generalized hydrodynamics
- Time evolution of 1D gapless models from a domain-wall initial state: SLE continued?
- Exact solution for the quench dynamics of a nested integrable system
- Front dynamics and entanglement in the XXZ chain with a gradient
- Universal broadening of the light cone in low-temperature transport
- Stationary entropies after a quench from excited states in the Ising chain
- Charges and currents in quantum spin chains: late-time dynamics and spontaneous currents
- On Classical Integrability of the Hydrodynamics of Quantum Integrable Systems
- Global large time dynamics and the generalized Gibbs ensemble
- Hydrodynamical phase transition for domain-wall melting in the XY chain
- Dynamical manifestation of Gibbs paradox after a quantum quench
Cited by in corpus (96)
- Finite-temperature transport in one-dimensional quantum lattice models
- Hydrodynamic Diffusion in Integrable Systems
- Entanglement in a fermion chain under continuous monitoring
- Diffusion in generalized hydrodynamics and quasiparticle scattering
- Lecture notes on Generalised Hydrodynamics
- Entanglement spreading in a minimal model of maximal many-body quantum chaos
- 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
- Entanglement evolution and generalised hydrodynamics: noninteracting systems
- Spreading of correlations in Markovian open quantum systems
- Hydrodynamics of weak integrability breaking
- Entanglement evolution and generalised hydrodynamics: interacting integrable systems
- Few-body Bose gases in low dimensions -- a laboratory for quantum dynamics
- Thermalisation of a trapped one-dimensional Bose gas via diffusion
- Fluctuations in ballistic transport from Euler hydrodynamics
- Quantum information dynamics in multipartite integrable systems
- Quantum information scrambling after a quantum quench
- Transport in the sine-Gordon field theory: from generalized hydrodynamics to semiclassics
- Generalised hydrodynamics with dephasing noise
- Entanglement spreading in non-equilibrium integrable systems
- Entanglement dynamics in Rule 54: Exact results and quasiparticle picture
- Conformal field theory on top of a breathing one-dimensional gas of hard core bosons
- Spin-charge separation effects in the low-temperature transport of 1D Fermi gases
- Domain-wall melting in the spin- XXZ spin chain: emergent Luttinger liquid with fractal quasi-particle charge
- Integrability-protected adiabatic reversibility in quantum spin chains
- Entanglement revivals as a probe of scrambling in finite quantum systems
- Locally quasi-stationary states in noninteracting spin chains
- Towards a Generalized Hydrodynamics description of Rényi entropies in integrable systems
- Spreading of entanglement and correlations after a quench with intertwined quasiparticles
- From the sinh-Gordon field theory to the one-dimensional Bose gas: exact local correlations and full counting statistics
- Dissipative quasi-particle picture for quadratic Markovian open quantum systems
- Entangled multiplets, asymmetry, and quantum Mpemba effect in dissipative 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
- Entanglement Evolution in Lifshitz-type Scalar Theories
- Signature of quantum chaos in operator entanglement in 2d CFTs
- Magnetization and entanglement after a geometric quench in the XXZ chain
- Generalized Hydrodynamic approach to charge and energy currents in the one-dimensional Hubbard model
- Hydrodynamics of quantum entropies in Ising chains with linear dissipation
- Integrable quenches in nested spin chains I: the exact steady states
- Exact entanglement growth of a one-dimensional hard-core quantum gas during a free expansion
- Dynamical manifestation of Gibbs paradox after a quantum quench
- 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
- Dynamics of large deviations in the hydrodynamic limit: Non-interacting systems
- Ballistic transport and boundary resistances in inhomogeneous quantum spin chains
- 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
- Domain wall melting across a defect
- 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
- Extensive Long-Range Entanglement in a Nonequilibrium Steady State
- Euler-scale dynamical fluctuations in non-equilibrium interacting integrable systems
- Lack of thermalization for integrability-breaking impurities
- 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
- Negative tripartite mutual information after quantum quenches in integrable systems
- Entanglement Hamiltonians and the quasiparticle picture
- Transport and entanglement across integrable impurities from Generalized Hydrodynamics
- Correlation and entanglement spreading in nested spin chains
- Entanglement front generated by an impurity travelling in an isolated many-body quantum system
- Free-fermion Page Curve: Canonical Typicality and Dynamical Emergence
- Quench dynamics in lattices above one dimension: the free fermionic case
- Generalized-Hydrodynamic approach to Inhomogeneous Quenches: Correlations, Entanglement and Quantum Effects
- Entanglement dynamics of thermofield double states in integrable models
- Quantum and Classical Dynamics with Random Permutation Circuits
- Universality in the tripartite information after global quenches: (generalised) quantum XY models
- Quasiparticle Picture for Entanglement Hamiltonians in Higher Dimensions
- Translation symmetry restoration in integrable systems: the noninteracting case
- Quasi-particle spectrum and entanglement generation after a quench in the quantum Potts spin chain
- Navier-Stokes Equations for Low-Temperature One-Dimensional Fluids
- Disorder-Order Interface Propagating over the Ferromagnetic Ground State in the Transverse Field Ising Chain
- Quench dynamics of Rényi negativities and the quasiparticle picture
- Connected correlations in partitioning protocols: a case study and beyond
- Quantum Generalized Hydrodynamics of the Tonks-Girardeau gas: density fluctuations and entanglement entropy
- Exact quench dynamics of symmetry resolved entanglement in a free fermion chain
- Quench dynamics of entanglement entropy under projective charge measurements: the free fermion case
- Growth of Rényi Entropies in Interacting Integrable Models and the Breakdown of the Quasiparticle Picture
- A hydrodynamic approach to Stark localization
- Quench dynamics of negativity Hamiltonians
- Nonlinear entanglement growth in inhomogeneous spacetimes
- Quench-Probe Setup as Analyzer of Fractionalized Entanglement Spreading
- Thermalization and non-monotonic entanglement growth in an exactly solvable model
- Fate of entanglement in quadratic Markovian dissipative systems
- Entanglement of Stationary States in the Presence of Unstable Quasiparticles
- Thermodynamic symmetry resolved entanglement entropies in integrable systems
- Dynamics of charge-imbalance-resolved entanglement negativity after a quench in a free-fermion model
- Enhanced correlations due to ballistic transport
- Macroscopic Quantum States and Universal Correlations in a Disorder-Order Interface Propagating over a 1D Ground State
- Time Evolution of the Symmetry Resolved Entanglement Entropy after a Mass Quench
- Inhomogeneous quenches and GHD in the QSSEP model