Entanglement Hamiltonians: from field theory, to lattice models and experiments

Abstract

We review results about entanglement (or modular) Hamiltonians of quantum many-body systems in field theory and statistical mechanics models, as well as recent applications in the context of quantum information and quantum simulation.

arXiv comment32 pages, 12 figures; review article

References in corpus (94)

• The density-matrix renormalization group in the age of matrix product states
• Concentrating Partial Entanglement by Local Operations
• Quantum Simulation
• Area laws for the entanglement entropy - a review
• Entanglement entropy and conformal field theory
• Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States
• Towards a derivation of holographic entanglement entropy
• Entanglement spectrum of a topological phase in one dimension
• Measuring entanglement entropy through the interference of quantum many-body twins
• Predicting Many Properties of a Quantum System from Very Few Measurements
• Quantum thermalization through entanglement in an isolated many-body system
• Calculation of reduced density matrices from correlation functions
• An Area Law for One Dimensional Quantum Systems
• Matrix Product States and Projected Entangled Pair States: Concepts, Symmetries, and Theorems
• Holographic Entanglement Entropy: An Overview
• Quantum entanglement in condensed matter systems
• Reduced density matrices and entanglement entropy in free lattice models
• Entanglement entropy in free quantum field theory
• Probing entanglement entropy via randomized measurements
• Notes on Some Entanglement Properties of Quantum Field Theory
• Measuring entanglement growth in quench dynamics of bosons in an optical lattice
• Entanglement entropy of two disjoint intervals in conformal field theory
• Mixed-state entanglement from local randomized measurements
• Density-Matrix Spectra of Solvable Fermionic Systems
• Entanglement Temperature and Entanglement Entropy of Excited States
• Rényi Entropies from Random Quenches in Atomic Hubbard and Spin Models
• Entanglement hamiltonians in two-dimensional conformal field theory
• Conformal Field Theory for Inhomogeneous One-dimensional Quantum Systems: the Example of Non-Interacting Fermi Gases
• Mutual Information and Boson Radius in c=1 Critical Systems in One Dimension
• Reduced density matrix and internal dynamics for multicomponent regions
• Statistical correlations between locally randomized measurements: a toolbox for probing entanglement in many-body quantum states
• Learning a local Hamiltonian from local measurements
• Cross-Platform Verification of Intermediate Scale Quantum Devices
• The power of random measurements: measuring Tr(ρ^n) on single copies of ρ
• Determining a local Hamiltonian from a single eigenstate
• Entanglement Entropy and Twist Fields
• On the entanglement entropy for a XY spin chain
• A geometric proof of the equality between entanglement and edge spectra
• Quantum Simulation and Spectroscopy of Entanglement Hamiltonians
• Machine Learning Assisted Many-Body Entanglement Measurement
• Entanglement Hamiltonian Tomography in Quantum Simulation
• Sample-efficient learning of quantum many-body systems
• Density-matrix spectra for integrable models
• Entanglement hamiltonian and entanglement contour in inhomogeneous 1D critical systems
• The Role of Type III Factors in Quantum Field Theory
• Multipartite entanglement detection in bosons
• Single-copies estimation of entanglement negativity
• On the reduced density matrix for a chain of free electrons
• Symmetry-resolved dynamical purification in synthetic quantum matter
• Synthetic Unruh effect in cold atoms
• Entropy and modular Hamiltonian for a free chiral scalar in two intervals
• Density Matrices for a Chain of Oscillators
• Local temperatures and local terms in modular Hamiltonians
• Efficient and feasible state tomography of quantum many-body systems
• Exact relationship between the entanglement entropies of XY and quantum Ising chains
• Hamiltonian Tomography via Quantum Quench
• Entanglement Hamiltonians of lattice models via the Bisognano-Wichmann theorem
• Measurement of the entanglement spectrum of a symmetry-protected topological state using the IBM quantum computer
• Analytical results for the entanglement Hamiltonian of a free-fermion chain
• Entanglement Hamiltonian of Interacting Fermionic Models
• Modular Groups of Quantum Fields in Thermal States
• Entanglement, combinatorics and finite-size effects in spin-chains
• Properties of the entanglement Hamiltonian for finite free-fermion chains
• Quantum Variational Learning of the Entanglement Hamiltonian
• Entanglement hamiltonians in 1D free lattice models after a global quantum quench
• Exact entanglement entropy of the XYZ model and its sine-Gordon limit
• On entanglement hamiltonians of an interval in massless harmonic chains
• The entanglement spectrum of chiral fermions on the torus
• Universal Entanglement Spectra of Gapped One-dimensional Field Theories
• Free-Fermion entanglement and orthogonal polynomials
• Reconstructing Entanglement Hamiltonian via Entanglement Eigenstates
• Entanglement hamiltonian evolution during thermalization in conformal field theory
• On the continuum limit of the entanglement Hamiltonian
• Geometric modular action for disjoint intervals and boundary conformal field theory
• Entanglement Hamiltonians for non-critical quantum chains
• Entanglement Hamiltonians for chiral fermions with zero modes
• Modular Hamiltonians for the massless Dirac field in the presence of a boundary
• Modular Hamiltonians for the massless Dirac field in the presence of a defect
• Entanglement Hamiltonian of quantum critical chains and conformal field theories
• Importance sampling of randomized measurements for probing entanglement
• The Negativity Hamiltonian: An operator characterization of mixed-state entanglement
• Anisotropic Unruh temperatures
• Lattice Bisognano-Wichmann modular Hamiltonian in critical quantum spin chains
• Modular Hamiltonian of a chiral fermion on the torus
• Measuring von Neumann entanglement entropies without wave functions
• Entanglement Hamiltonians and entropy in 1+1D chiral fermion systems
• Entanglement Hamiltonian of Many-body Dynamics in Strongly-correlated Systems
• Entanglement in Fermionic Chains and Bispectrality
• Entanglement entropy after selective measurements in quantum chains
• Entanglement Spectroscopy and its Application to the Quantum Hall Effects
• Engineering entanglement Hamiltonians with strongly interacting cold atoms in optical traps
• The Bisognano-Wichmann property for asymptotically complete massless QFT
• Entanglement Hamiltonian of Interacting Systems: Local Temperature Approximation and Beyond
• The massless modular Hamiltonian

Cited by in corpus (38)

• Quantum Simulating Nature's Fundamental Fields
• Exploring Large-Scale Entanglement in Quantum Simulation
• Chaos and operator growth in 2d CFT
• Entanglement and negativity Hamiltonians for the massless Dirac field on the half line
• Local and non-local properties of the entanglement Hamiltonian for two disjoint intervals
• Entanglement Hamiltonian in the non-Hermitian SSH model
• Quantum Computing Universal Thermalization Dynamics in a (2+1)D Lattice Gauge Theory
• Sampling reduced density matrix to extract fine levels of entanglement spectrum and restore entanglement Hamiltonian
• Entanglement Hamiltonians and the quasiparticle picture
• Theory of fractional quantum Hall liquids coupled to quantum light and emergent graviton-polaritons
• Quantum thermodynamics of nonequilibrium processes in lattice gauge theories
• Random unitaries, Robustness, and Complexity of Entanglement
• Reconstructing effective Hamiltonians from nonequilibrium (pre-)thermal steady states
• Finite temperature negativity Hamiltonians of the massless Dirac fermion
• Numerical investigations of the extensive entanglement Hamiltonian in quantum spin ladders
• Meson content of entanglement spectra after integrable and nonintegrable quantum quenches
• Relevant long-range interaction of the entanglement Hamiltonian emerges from a short-range gapped system
• Quasiparticle Picture for Entanglement Hamiltonians in Higher Dimensions
• Entanglement Hamiltonian of a nonrelativistic Fermi gas
• Disorder-Order Interface Propagating over the Ferromagnetic Ground State in the Transverse Field Ising Chain
• On the Bisognano-Wichmann entanglement Hamiltonian of nonrelativistic fermions
• Structure of the Hamiltonian of mean force
• Ansatz-free Hamiltonian learning with Heisenberg-limited scaling
• Page Curve and Entanglement Dynamics in an Interacting Fermionic Chain
• Universality in the tripartite information after global quenches: spin flip and semilocal charges
• Quantum geometry and geometric entanglement entropy of one-dimensional Floquet topological matter
• Generalized Li-Haldane Correspondence in Critical Dirac-Fermion Systems
• Building Entanglement Entropy out of Correlation Functions for Interacting Fermions
• Entanglement entropy of two disjoint intervals and spin structures in interacting chains in and out of equilibrium
• Worldline deconfinement and emergent long-range interaction in the entanglement Hamiltonian and in the entanglement spectrum
• A Hermitian bypass to the non-Hermitian quantum theory
• Temporal Entanglement Transitions in the Periodically Driven Ising Chain
• Probing non-Gaussian correlations through entanglement generation in a many-body quantum system
• Work and heat exchanged during sudden quenches of strongly coupled quantum systems
• Entanglement spectrum of gapless topological phases: a case study with topological superconductors
• Synthetic horizons in an atomic chain: Horizon-induced effects and connections to quantum Hall systems
• Bisognano-Wichmann Hamiltonian for the entanglement spectroscopy of fractional quantum Hall states
• Exploring the limit of the Lattice-Bisognano-Wichmann form describing the Entanglement Hamiltonian: A quantum Monte Carlo study