Entanglement entropy and quantum field theory

DOI10.1088/1742-5468/2004/06/P06002zbMath1082.82002arXivhep-th/0405152WikidataQ61037914 ScholiaQ61037914MaRDI QIDQ3160038

Pasquale Calabrese, John L. Cardy

Publication date: 1 February 2005

Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0405152

zbMATH Keywords

conformal field theoryintegrable spin chainsentanglement in extended quantum systems

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Quantum equilibrium statistical mechanics (general) (82B10) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

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entanglement entropy of a one-dimensional quantum system, Spin structures and entanglement of two disjoint intervals in conformal field theories, Fourier-space entanglement of spin chains, Impurity entropy of junctions of multiple quantum wires, Entanglement entropy after a partial projective measurement in 1  +  1 dimensional conformal field theories: exact results, Quantum quenches in 1  +  1 dimensional conformal field theories, Quantum quenches in the Luttinger model and its close relatives, Entanglement entropy in a periodically driven Ising chain, Fisher–Hartwig determinants, conformal field theory and universality in generalised XX models, Entanglement negativity in a two dimensional harmonic lattice: area law and corner contributions, Mixed-state form factors ofU(1) twist fields in the Dirac theory, Entanglement entropy and mutual information of circular entangling surfaces in the 2  +  1-dimensional quantum Lifshitz model, Renyi entanglement entropies of descendant states in critical systems with boundaries: conformal field theory and spin chains, Entanglement entropy of local operators in quantum Lifshitz theory, On the quantum spin glass transition on the Bethe lattice, Entanglement critical length at the many-body localization transition, Rényi entropies after releasing the Néel state in theXXZspin-chain, The coprime quantum chain, Two-cylinder entanglement entropy under a twist, Entanglement entropy and Möbius transformations for critical fermionic chains, Entanglement across extended random defects in the XX spin chain, Particle partition entanglement of one dimensional spinless fermions, Numerical calculations on the relative entanglement entropy in critical spin chains, Properties of the entanglement Hamiltonian for finite free-fermion chains, Entanglement entropy of two disjoint intervals and the recursion formula for conformal blocks, Entanglement entropy of the long-range Dyson hierarchical model, Entanglement entropy in multi-leg Kitaev ladders with interface defects, Exact quench dynamics of symmetry resolved entanglement in a free fermion chain, Corrections to universal Rényi entropy in quasiparticle excited states of quantum chains, De Sitter space and entanglement, Studies of boundary entropy in AdS/BCFT, Conical defects and holography in topological AdS gravity, Entanglement entropy of causal set de Sitter horizons, Unitarity and the information problem in an explicit model of black hole evaporation, John Cardy's scale-invariant journey in low dimensions: a special issue for his 70th birthday, The interplay between frustration and entanglement in many-body systems, Eigenstate thermalization hypothesis in conformal field theory, Entanglement hamiltonian and entanglement contour in inhomogeneous 1D critical systems, Logarithmic negativity in Lifshitz harmonic models, n-cluster models in a transverse magnetic field, Local Hamiltonians for one-dimensional critical models, AdS vacuum bubbles, holography and dual RG flows, On single-copy entanglement, Evolution of entanglement entropy in one-dimensional systems, Entanglement entropy of excited states, Entanglement entropy of two disjoint intervals in conformal field theory, Genuine multipartite entanglement in the cluster-Ising model, Evolution of entanglement entropy in orbifold CFTs, Unusual area-law violation in random inhomogeneous systems, Entanglement and relative entropies for low-lying excited states in inhomogeneous one-dimensional quantum systems, Entanglement entropy of cosmological perturbations for S-brane Ekpyrosis, On holographic time-like entanglement entropy, Negativity, quantum entanglement in the two-dimensional generalized Hubbard model, Entanglement entropy of XX spin 1/2 chain with random partitioning at arbitrary temperature, Entanglement entropy from non-equilibrium Monte Carlo simulations, Symmetry resolved entanglement of excited states in quantum field theory. III: Bosonic and fermionic negativity, The entanglement entropy for quantum system in one spatial dimension, Replica trick calculation for entanglement entropy of static black hole spacetimes, Entanglement entropy from form factors in \(\mathrm{T\overline{T}}\)-deformed integrable quantum field theories, Revisit the entanglement entropy with gravitational anomaly, \(\mathrm{dS}_2\) supergravity, From Dyson-Schwinger equations to quantum entanglement, Absence of logarithmic enhancement in the entanglement scaling of free fermions on folded cubes, Multi-charged moments and symmetry-resolved Rényi entropy of free compact Boson for multiple disjoint intervals, Holographic renormalized entanglement and entropic \(c\)-function, SVD entanglement entropy, Dynamics of charge imbalance resolved negativity after a local joining quench, Two-point functions of composite twist fields in the Ising field theory, Entanglement entropy in excited states of the quantum Lifshitz model, Temperature driven quenches in the Ising model: appearance of negative Rényi mutual information, Expectation values of twist fields and universal entanglement saturation of the free massive boson, Delicate windows into evaporating black holes, Charge imbalance resolved Rényi negativity for free compact boson: two disjoint interval case, The reflected entanglement spectrum for free fermions, Holographic entanglement negativity for a single subsystem in conformal field theories with a conserved charge, The \(O(N)\)-flavoured replica twist defect, Reflected entropy and Markov gap in Lifshitz theories, Zero-mode entanglement across a conformal defect, The operator algebra of cyclic orbifolds, A half de Sitter holography, Fusion of conformal defects in interacting theories, Holographic \(n\)-partite information in hyperscaling violating geometry, Bridging the static patches: de Sitter holography and entanglement, Geometric quantum discord signals non-factorization, Timelike entanglement entropy in \(\mathrm{dS}_3/\mathrm{CFT}_2\), Pseudo entropy of primary operators in \(T\bar{T}/J\bar{T}\)-deformed CFTs, Irreversibility, QNEC, and defects, Entanglement of harmonic systems in squeezed states, Beyond islands: a free probabilistic approach, Rényi negativities in non-equilibrium open free-Boson chains, Entanglement entropy in conformal quantum mechanics, Entanglement resolution of free Dirac fermions on a torus, Entanglement dynamics of the non-unitary holographic channel, Constructible reality condition of pseudo entropy via pseudo-Hermiticity, Page curves and entanglement islands for the step-function Vaidya model of evaporating black holes, Timelike entanglement entropy, Logarithmic, fractal and volume-law entanglement in a Kitaev chain with long-range hopping and pairing, Vacuum transitions in two-dimensions and their holographic interpretation, Entanglement and expansion, Entanglement entropy as an order parameter for strongly coupled nodal line semimetals, Discrete bulk reconstruction, Linear response of entanglement entropy to \(T\bar{T}\) in massive QFTs, Negative Rényi entropy and brane intersection, Strong disorder RG approach -- a short review of recent developments, Density waves in strongly correlated quantum chains, Order parameter dynamics of the non-linear sigma model in the large \(N\) limit, Can multipartite entanglement be characterized by two-point connected correlation functions?, Generalized entropy for general subregions in quantum gravity, Quantum focusing conjecture and the Page curve, Modular Hamiltonian for de Sitter diamonds, The action of geometric entropy in topologically massive gravity, Finite temperature negativity Hamiltonians of the massless Dirac fermion, Universality in the tripartite information after global quenches: (generalised) quantum XY models, Universal behavior of entanglement entropies in interface CFTs from general holographic spacetimes, Time-like entanglement entropy in AdS/BCFT, Entanglement between random and clean quantum spin chains, A contour for the entanglement entropies in harmonic lattices, Island formula in Planck brane, AdS/BCFT with brane-localized scalar field, Probing RG flows, symmetry resolution and quench dynamics through the capacity of entanglement, Aspects of \(N\)-partite information in conformal field theories, Comparative study of state-of-the-art matrix-product-state methods for lattice models with large local Hilbert spaces without \(U(1)\) symmetry, Thermal fluctuations of black holes with non-linear electrodynamics and charged Renyi entropy, Islands in proliferating de Sitter spaces, Universal thermal corrections to symmetry-resolved entanglement entropy and full counting statistics, Complex geometry in the entanglement entropy of fermionic chains, Entanglement entropy in extended quantum systems, Quantum phase transitions between a class of symmetry protected topological states, Entanglement entropy of non-unitary integrable quantum field theory, Entanglement in spin chains with gradients, Entanglement, combinatorics and finite-size effects in spin chains, Free Energy of Topologically Massive Gravity and Flat Space Holography, Entanglement content of quantum particle excitations. III. Graph partition functions, Correlation functions of the openXXZchain: I, Entanglement entropy in aperiodic singlet phases, Quantum quenches in extended systems, Quantum impurity entanglement, Correlation functions of the openXXZchain: II, Entanglement Hamiltonians in 1D free lattice models after a global quantum quench, Symmetry resolved entanglement entropy of excited states in a CFT, Quantum Renyi relative entropies on a spin chain with interface defects, The matrix product approximation for the dynamic cavity method, Symmetry resolved entanglement in two-dimensional systems via dimensional reduction, Entanglement Hamiltonian of the 1 + 1-dimensional free, compactified boson conformal field theory, Notes on matrix models (matrix musings), Rényi entropy and subsystem distances in finite size and thermal states in critical XY chains, Inhomogeneous XX spin chains and quasi-exactly solvable models, Entanglement entropy of excited states in the quantum Lifshitz model, Bipartite fidelity for models with periodic boundary conditions, Entanglement entropy in quasi-symmetric multi-qubit states, One-dimensional quantum many body systems with long-range interactions, Entanglement dynamics of a hard-core quantum gas during a Joule expansion, More on the rainbow chain: entanglement, space-time geometry and thermal states, Perturbative approach to entanglement generation in QFT using the S matrix, Boundary and defect CFT: open problems and applications, Analysis of the conditional mutual information in ballistic and diffusive non-equilibrium steady-states, Entanglement entropy of two disjoint intervals separated by one spin in a chain of free fermion*, Hawking radiation correlations of evaporating black holes in JT gravity, Negativity spectrum in 1D gapped phases of matter, Symmetry resolved entanglement in free fermionic systems, Link representation of the entanglement entropies for all bipartitions, Boundary effects on symmetry resolved entanglement, From Painlevé to Zakharov–Shabat and beyond: Fredholm determinants and integro-differential hierarchies, Entanglement and negativity Hamiltonians for the massless Dirac field on the half line, Exact entanglement growth of a one-dimensional hard-core quantum gas during a free expansion, Entanglement scaling of operators: a conformal field theory approach, with a glimpse of simulability of long-time dynamics in 1  +  1d, Analytical results for the entanglement dynamics of disjoint blocks in the XY spin chain