Probing RG flows, symmetry resolution and quench dynamics through the capacity of entanglement
arXiv:2301.02117 · doi:10.1007/JHEP03(2023)175
Abstract
We compare the capacity of entanglement with the entanglement entropy by considering various aspects of these quantities for free bosonic and fermionic models in one spatial dimension, both in the continuum and on the lattice. Substantial differences are observed in the subleading terms of these entanglement quantifiers when the subsystem is made by two disjoint intervals, in the massive scalar field and in the fermionic chain. We define -functions based on the capacity of entanglement similar to the one based on the entanglement entropy, showing through a numerical analysis that they display a monotonic behaviour under the renormalisation group flow generated by the mass. The capacity of entanglement and its related quantities are employed to explore the symmetry resolution. The temporal evolutions of the capacity of entanglement and of the corresponding contour function after a global quench are also discussed.
arXiv comment63 pages, 12 figures
References in corpus (103)
- Holographic Derivation of Entanglement Entropy from AdS/CFT
- Gaussian Quantum Information
- Area laws for the entanglement entropy - a review
- 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
- Calculation of reduced density matrices from correlation functions
- On Geometric Entropy
- Reduced density matrices and entanglement entropy in free lattice models
- Generalized Gibbs ensemble in integrable lattice models
- Quench dynamics and relaxation in isolated integrable quantum spin chains
- Entanglement entropy in free quantum field theory
- Probing entanglement in a many-body-localized system
- Complete Generalized Gibbs Ensemble in an interacting Theory
- Entanglement and thermodynamics after a quantum quench in integrable systems
- Quantum Spin Chain, Toeplitz Determinants and Fisher-Hartwig Conjecture
- On the RG running of the entanglement entropy of a circle
- Quantum quenches in 1+1 dimensional conformal field theories
- Entanglement entropy of two disjoint intervals in conformal field theory
- The Gravity Dual of Renyi Entropy
- Quasilocal charges in integrable lattice systems
- Reduced Density Matrix after a Quantum Quench
- An improved Landauer Principle with finite-size corrections
- Entanglement and alpha entropies for a massive Dirac field in two dimensions
- Entanglement entropy: holography and renormalization group
- Entanglement dynamics after quantum quenches in generic integrable systems
- Symmetry-resolved entanglement in many-body systems
- Density Matrix Renormalization Group Method for 2D Classical Models
- A refinement of entanglement entropy and the number of degrees of freedom
- Entanglement hamiltonians in two-dimensional conformal field theory
- Entanglement entropy and entanglement spectrum of the Kitaev model
- Symmetry-resolved entanglement detection using partial transpose moments
- Parity effects in the scaling of block entanglement in gapless spin chains
- Mutual Information and Boson Radius in c=1 Critical Systems in One Dimension
- Evolution of entanglement after a local quench
- Equipartition of the Entanglement Entropy
- Validity of the GGE for quantum quenches from interacting to noninteracting models
- Spatial structures and localization of vacuum entanglement in the linear harmonic chain
- Entanglement and alpha entropies for a massive scalar field in two dimensions
- Entanglement Entropy and Twist Fields
- Symmetry resolved entanglement in free fermionic systems
- A c-theorem for the entanglement entropy
- Entanglement negativity after a global quantum quench
- Quasiparticle dynamics of symmetry resolved entanglement after a quench: the examples of conformal field theories and free fermions
- Entanglement and symmetry resolution in two dimensional free quantum field theories
- Spin-resolved entanglement spectroscopy of critical spin chains and Luttinger liquids
- Density-matrix spectra for integrable models
- Quench action and Renyi entropies in integrable systems
- Universal corrections to scaling for block entanglement in spin-1/2 XX chains
- On Rényi entropies of disjoint intervals in conformal field theory
- Symmetry-resolved dynamical purification in synthetic quantum matter
- Entanglement contour
- Symmetry resolved entanglement in gapped integrable systems: a corner transfer matrix approach
- Symmetry resolved entanglement: Exact results in 1D and beyond
- Density Matrices for a Chain of Oscillators
- Holographic entanglement contour, bit threads, and the entanglement tsunami
- A universal feature of CFT Renyi entropy
- Entanglement entropy and negativity of disjoint intervals in CFT: Some numerical extrapolations
- Symmetry resolved entanglement in integrable field theories via form factor bootstrap
- Entanglement spectrum degeneracy and Cardy formula in 1+1 dimensional conformal field theories
- Probing Hawking radiation through capacity of entanglement
- Aspects of capacity of entanglement
- Area law and its violation: A microscopic inspection into the structure of entanglement and fluctuations
- Symmetry-Resolved Entanglement in AdS/CFT coupled to Chern-Simons Theory
- Entanglement Spectrum and Entanglement Thermodynamics of Quantum Hall Bilayers at nu=1
- Replica wormholes and capacity of entanglement
- Spacetime Fluctuations in AdS/CFT
- Entanglement hamiltonians in 1D free lattice models after a global quantum quench
- Disk entanglement entropy for a Maxwell field
- Symmetry-resolved Page curves
- Dynamics of the entanglement spectrum in spin chains
- Conformal Description of Near-Horizon Vacuum States
- Area law and vacuum reordering in harmonic networks
- A contour for the entanglement entropies in harmonic lattices
- Beyond the thermodynamic limit: finite-size corrections to state interconversion rates
- A Holographic Proof of Rényi Entropic Inequalities
- Probing the entanglement of operator growth
- Entanglement hamiltonian evolution during thermalization in conformal field theory
- Entanglement Hamiltonians for non-critical quantum chains
- On Vacuum Fluctuations in Quantum Gravity and Interferometer Arm Fluctuations
- Modular Fluctuations from Shockwave Geometries
- Operator content of entanglement spectra after global quenches in the transverse field Ising chain
- Complexity of mixed Gaussian states from Fisher information geometry
- Eigenstate capacity and Page curve in fermionic Gaussian states
- Interferometer Response to Geontropic Fluctuations
- Capacity of Entanglement for Non-local Hamiltonian
- Subsystem complexity after a global quantum quench
- Observing Floquet topological order by symmetry resolution
- Capacity of Entanglement in Local Operators
- Critical light-matter entanglement at cavity mediated phase transition
- Modular Hamiltonian for (holographic) excited states
- Capacity of entanglement in random pure state
- Entanglement of two disjoint intervals in conformal field theory and the 2D Coulomb gas on a lattice
- Near-Horizon Quantum Dynamics of 4-d Einstein Gravity from 2-d JT Gravity
- Aspects of Holographic Entanglement Entropy for -deformed CFTs
- The variance of relative surprisal as single-shot quantifier
- Second-order statistics of fermionic Gaussian states
- Average capacity of quantum entanglement
- Wilsonian Effective Action and Entanglement Entropy
- Density Matrix and Renormalization for Classical Lattice Models
- Quantum hypothesis testing in many-body systems
- Quantum tomography of three-qubit generalized Werner states
- Symmetry-resolved entanglement entropy in Wess-Zumino-Witten models
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- Evolution of capacity of entanglement and modular entropy in harmonic chains and scalar fields
- Symmetry-Resolved Entanglement Entropy in Higher Dimensions
- Entanglement capacity of fermionic Gaussian states
- Probing the Factorized Island Branch with the Capacity of Entanglement in JT Gravity
- A contour for the entanglement negativity of bosonic Gaussian states
- The area and volume laws for entanglement of scalar fields in flat and cosmological spacetimes