Evolution of entanglement after a local quench

Abstract

We study free electrons on an infinite half-filled chain, starting in the ground state with a bond defect. We find a logarithmic increase of the entanglement entropy after the defect is removed, followed by a slow relaxation towards the value of the homogeneous chain. The coefficients depend continuously on the defect strength.

14 pages, 9 figures, final version

References in corpus (23)

• Entanglement Entropy and Quantum Field Theory
• Entanglement in quantum critical phenomena
• Geometric and Renormalized Entropy in Conformal Field Theory
• Evolution of Entanglement Entropy in One-Dimensional Systems
• Collapse and Revival of the Matter Wave Field of a Bose-Einstein Condensate
• Calculation of reduced density matrices from correlation functions
• On Geometric Entropy
• Lieb-Robinson bounds and the generation of correlations and topological quantum order
• Quantum Spin Chain, Toeplitz Determinants and Fisher-Hartwig Conjecture
• Entanglement entropy of random quantum critical points in one dimension
• Entanglement Entropy dynamics in Heisenberg chains
• Entanglement in XY Spin Chain
• Transport in the XX chain at zero temperature: Emergence of flat magnetization profiles
• General entanglement scaling laws from time evolution
• Scaling of Entanglement Entropy in the Random Singlet Phase
• Random Matrix Theory and Entanglement in Quantum Spin Chains
• Entanglement entropy with interface defects
• On single-copy entanglement
• Entanglement in the XX spin chain with an energy current
• Operator-Based Truncation Scheme Based on the Many-Body Fermion Density Matrix
• Fluctuations in subsystems of the zero temperature XX chain: Emergence of an effective temperature
• Boundary non-local charges from the open spin chain
• Thermalization through unitary evolution of pure states

Cited by in corpus (145)

• Area laws for the entanglement entropy - a review
• Entanglement entropy and conformal field theory
• Quantum entanglement in condensed matter systems
• Reduced density matrices and entanglement entropy in free lattice models
• Quantum Quenches in Extended Systems
• Exact relaxation in a class of non-equilibrium quantum lattice systems
• Entanglement and correlation functions following a local quench: a conformal field theory approach
• Quantum quenches in 1+1 dimensional conformal field theories
• Evolution of entanglement entropy following a quantum quench: Analytic results for the XY chain in a transverse magnetic field
• Spread of correlations in long-range interacting quantum systems
• Entanglement entropy: holography and renormalization group
• Holographic Local Quenches and Entanglement Density
• Holographic Entanglement Entropy from 2d CFT: Heavy States and Local Quenches
• Evolution of Holographic Entanglement Entropy after Thermal and Electromagnetic Quenches
• Quantum Entanglement of Local Operators in Conformal Field Theories
• Entanglement Entropy of Eigenstates of Quantum Chaotic Hamiltonians
• Entanglement entropy of two disjoint blocks in XY chains
• Entanglement from Charge Statistics: Exact Relations for Many-Body Systems
• Entanglement entropy in quantum impurity systems and systems with boundaries
• Entanglement entropy of excited states
• Entanglement negativity in the harmonic chain out of equilibrium
• Exploring local quantum many-body relaxation by atoms in optical superlattices
• Quantum Quench from a Thermal Initial State
• Entanglement negativity after a global quantum quench
• Local quantum quenches in critical one-dimensional systems: entanglement, the Loschmidt echo, and light-cone effects
• Quantum Quenches in an XXZ Spin Chain from a Spatially Inhomogeneous Initial State
• Mutual information after a local quench in conformal field theory
• Quench dynamics of a Tonks-Girardeau gas released from a harmonic trap
• Inhomogeneous quenches in a fermionic chain: exact results
• Measuring entanglement using quantum quenches
• Probing local relaxation of cold atoms in optical superlattices
• Entanglement negativity and entropy in non-equilibrium conformal field theory
• Entanglement contour
• Local quenches with global effects in interacting quantum systems
• Non-equilibrium electronic transport in a one-dimensional Mott insulator
• Inhomogeneous Quantum Quenches
• Entanglement spreading after a geometric quench in quantum spin chains
• Entanglement entropy dynamics of disordered quantum spin chains
• Emergence of curved light-cones in a class of inhomogeneous Luttinger liquids
• Entanglement evolution after connecting finite to infinite quantum chains
• Notes on Quantum Entanglement of Local Operators
• Exact relationship between the entanglement entropies of XY and quantum Ising chains
• Entanglement entropy with localized and extended interface defects
• Nonzero temperature Entanglement Negativity of quantum spin models: Area law, Linked Cluster Expansions and Sudden Death
• Real-time decay of a highly excited charge carrier in the one-dimensional Holstein model
• Emergent eigenstate solution to quantum dynamics far from equilibrium
• Quantum noise and entanglement generated by a local quantum quench
• Entanglement in spin chains with gradients
• Exact solution for the quench dynamics of a nested integrable system
• Time evolution of 1D gapless models from a domain-wall initial state: SLE continued?
• Entanglement in ground and excited states of gapped fermion systems and their relationship with fermi surface and thermodynamic equilibrium properties
• Area law violation for the mutual information in a nonequilibrium steady state
• Stationary entanglement entropies following an interaction quench in 1D Bose gas
• Floquet Quantum Criticality
• Ground-state reference systems for expanding correlated fermions in one dimension
• Entanglement-ergodic quantum systems equilibrate exponentially well
• Entanglement hamiltonians in 1D free lattice models after a global quantum quench
• Universal quench dynamics of interacting quantum impurity systems
• The entanglement entropy of 1D systems in continuous and homogenous space
• Entanglement growth and simulation efficiency in one-dimensional quantum lattice systems
• Growth of mutual information in a quenched one-dimensional open quantum many body system
• A contour for the entanglement entropies in harmonic lattices
• Floquet Dynamics of Boundary-Driven Systems at Criticality
• Approximate light cone effects in a non-relativistic quantum field theory after a local quench
• Geometric quenches in quantum integrable systems
• Quantum dynamics and entanglement of a 1D Fermi gas released from a trap
• Evolution of entanglement entropy in the D1-D5 brane system
• Universal corrections to entanglement entropy of local quantum quenches
• Magnetization and entanglement after a geometric quench in the XXZ chain
• Universal Dynamics of Stochastically Driven Quantum Impurities
• A class of states supporting diffusive spin dynamics in the isotropic Heisenberg model
• Non-equilibrium transport in $d$-dimensional non-interacting Fermi gases
• Time evolution of entanglement negativity across a defect
• Spinon and bound state excitation "light cones" in Heisenberg XXZ Chains
• Entanglement entropy in dynamic quantum-coherent conductors
• Entanglement Entropy in Extended Quantum Systems
• Entanglement evolution across defects in critical anisotropic Heisenberg chains
• Quantum Entanglement of Fermionic Local Operators
• Excitations in two-component Bose-gases
• Observations Outside the Light-Cone: Algorithms for Non-Equilibrium and Thermal States
• Domain wall melting across a defect
• Non-equilibrium quantum dynamics after local quenches
• Formation probabilities and Shannon information and their time evolution after quantum quench in transverse-field XY-chain
• Real time evolution at finite temperatures with operator space matrix product states
• Local quenches, bulk entanglement entropy and a unitary Page curve
• Measurement quench in many-body systems
• Subsystem complexity after a global quantum quench
• Logarithmic corrections to the free energy from sharp corners with angle $2\pi$
• Generating Entanglement by Quantum Resetting
• On Entropy Growth in Perturbative Scattering
• Subsystem distance after a local operator quench
• Quantum Critical Universality and Singular Corner Entanglement Entropy of Bilayer Heisenberg-Ising model
• Equilibration times in closed quantum many-body systems
• Global Quenches after Localised Perturbations
• Probing RG flows, symmetry resolution and quench dynamics through the capacity of entanglement
• Characteristic length scales from entanglement dynamics in electric-field-driven tight-binding chains
• Entanglement properties of the antiferromagnetic-singlet transition in the Hubbard model on bilayer square lattices
• On the entanglement across a cubic interface in 3+1 dimensions
• Nonequilibrium dynamics of the Ising chain in a fluctuating transverse field
• Correlation Functions and the Boundary qKZ Equation in a Fractured XXZ Chain
• Universal Single-Frequency Oscillations in a Quantum Impurity System After a Local Quench
• Entanglement Hamiltonians and the quasiparticle picture
• Entanglement spreading after local fermionic excitations in the XXZ chain
• Entanglement entropies of an interval for the massless scalar field in the presence of a boundary
• Dynamics of Holographic Entanglement Entropy Following a Local Quench
• Quantum Decoherence with Holography
• Disorder-induced Enhancement of Entanglement Growth in One Dimension: Information Leakage at the scale of localization length
• Quench Dynamics of Entanglement in an Opened Anisotropic Spin-1/2 Heisenberg Chain
• Quantum adiabatic protocols using emergent local Hamiltonians
• Evolution of the magnetization after a local quench in the critical transverse-field Ising chain
• Localized Excitations from Localized Unitary Operators
• Subsystem complexity after a local quantum quench
• Entanglement in composite free-fermion systems
• Quasiparticle Picture for Entanglement Hamiltonians in Higher Dimensions
• Splitting a critical spin chain
• Generalized thermalization for integrable system under quantum quench
• Holographic systems far from equilibrium: a review
• Entanglement entropy of the $Q\ge 4$ quantum Potts chain
• Universal Entanglement Dynamics following a Local Quench
• Effect of double local quenches on Loschmidt echo and entanglement entropy of a one-dimensional quantum system
• Dynamics of the impurity screening cloud following quantum quenches of the Resonant Level Model
• Quantum Local Quench, AdS/BCFT and Yo-Yo String
• Local Information Flow in Quantum Quench Dynamics
• Tracking locality in time evolution of disordered systems
• Quantum Renyi relative entropies on a spin chain with interface defects
• Coherent charge and spin oscillations induced by local quenches in nanowires with spin-orbit coupling
• Some speculations about local thermalization of nonequilibrium extended quantum systems
• Spreading of a local excitation in a Quantum Hierarchical Model
• Entanglement entropy of local gravitational quenches
• Entanglement Entropy with a Time-dependent Hamiltonian
• Machine learning, quantum chaos, and pseudorandom evolution
• Quantum Joule Expansion of One-Dimensional Systems
• Quench dynamics of negativity Hamiltonians
• Quench dynamics in the one-dimensional mass-imbalanced ionic Hubbard model
• Chaos and bi-partite entanglement between Bose-Joephson junctions
• On the complex behaviour of the density in composite quantum systems
• Geometric quenches in quasi-disordered lattice system
• Ballistic Entanglement Cloud after a Boundary Quench
• Entanglement entropy of a three-spin interacting spin chain with a time-reversal breaking impurity at one boundary
• Entanglement spreading after local and extended excitations in a free-fermion chain
• Observable-enriched entanglement
• Universality in Non-Equilibrium Quantum Systems
• Bounding entanglement spreading after a local quench
• Thermal Correction to Entanglement Spectrum for Conformal Field Theories
• Dynamics of quantum Fisher and Wigner-Yanase skew information following a noisy quench