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

• URL: http://arxiv.org/abs/2204.03966v1
• Date: Fri, 8 Apr 2022 09:47:28 GMT
• Title: Local and non-local properties of the entanglement Hamiltonian for two disjoint intervals
• Authors: Viktor Eisler, Erik Tonni, Ingo Peschel
• Abstract summary: 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.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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.

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