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.

32 pages, 12 figures; review article

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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