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Local and non-local properties of the entanglement Hamiltonian for two disjoint intervals

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arxiv 2204.03966 v1 pith:2FTNRV2U submitted 2022-04-08 cond-mat.stat-mech hep-thquant-ph

Viktor Eisler , Erik Tonni , Ingo Peschel This is my paper · ORCID
classification cond-mat.stat-mechhep-thquant-ph
keywords intervalscontinuumcaseentanglementhamiltonianhoppingintervaladdition
verification ladder T0 review T1 audit T2 compute T3 formal

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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.

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Cited by 4 Pith papers

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