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Gluing together Modular flows with free fermions · Around

2018

Gluing together Modular flows with free fermions

Wong, Gabriel

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We revisit the calculation of multi-interval modular Hamiltonians for free fermions using a Euclidean path integral approach.

We show how the multi-interval modular flow is obtained by gluing together the single interval modular flows.
Using this relation, we obtain an exact expression for the multi-interval modular Hamiltonian and entanglement entropy in agreement with existing results.
An essential ingredient in our derivation is the introduction of the \emp{modular action}.

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H. Casini and M. Huerta, “Reduced density matrix and internal dynamics for multicomponent regions,” Class. Quant. Grav
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Then

T. Faulkner and A. Lewkowycz, “Bulk locality from modular flow,” JHEP
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Later among the works it cites.
H. Casini, E. Teste, and G. Torroba, “Modular Hamiltonians on the null plane and the Markov property of the vacuum state,” J. Phys
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I. Klich, D. Vaman, and G. Wong, “Entanglement Hamiltonians for chiral fermions with zero modes,” Phys. Rev. Lett
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