Local and non-local properties of the entanglement Hamiltonian for two disjoint intervals. (1st August 2022)

• Record Type: Journal Article
• Authors: Eisler, Viktor; Tonni, Erik; Peschel, Ingo
• Is Part Of: Journal of statistical mechanics. (2022:Aug.)
• Publication Date: 2022-08-01
• Subjects: conformal field theory -- entanglement in extended quantum systems -- solvable lattice models; Statistical mechanics -- Periodicals; Mechanics -- Statistical methods -- Periodicals; 530.1305
• DOI: 10.1088/1742-5468/ac8151
• Languages: English
• ISSNs: 1742-5468

Abstract

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.