Local and non-local properties of the entanglement Hamiltonian for two disjoint intervals
arXiv:2204.03966 · doi:10.1088/1742-5468/ac8151
Abstract
We consider free-fermion chains in the ground state and the entanglement Hamiltonian for a subsystem consisting of two separated intervals. In this case, one has a peculiar long-range hopping between the intervals in addition to the well-known and dominant short-range hopping. We show how the continuum expressions can be recovered from the lattice results for general filling and arbitrary intervals. We also discuss the closely related case of a single interval located at a certain distance from the end of a semi-infinite chain and the continuum limit for this problem. Finally, we show that for the double interval in the continuum a commuting operator exists which can be used to find the eigenstates.
33 pages, 9 figures
References in corpus (16)
- Towards a derivation of holographic entanglement entropy
- Entanglement negativity in quantum field theory
- Entanglement hamiltonians in two-dimensional conformal field theory
- Local temperatures and local terms in modular Hamiltonians
- Entanglement Hamiltonians: from field theory, to lattice models and experiments
- Quantum Variational Learning of the Entanglement Hamiltonian
- On the continuum limit of the entanglement Hamiltonian
- Entanglement Hamiltonians for non-critical quantum chains
- 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
- The Negativity Hamiltonian: An operator characterization of mixed-state entanglement
- Lattice Bisognano-Wichmann modular Hamiltonian in critical quantum spin chains
- Modular Hamiltonian of a chiral fermion on the torus
- On the continuum limit of the entanglement Hamiltonian of a sphere for the free massless scalar field
- Multilocal fermionization
- Entanglement in Fermionic Chains and Bispectrality