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On the continuum limit of the entanglement Hamiltonian

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arxiv 1902.04474 v3 pith:Q2QGZSTX submitted 2019-02-12 cond-mat.stat-mech hep-th

On the continuum limit of the entanglement Hamiltonian

classification cond-mat.stat-mech hep-th
keywords entanglementhamiltonianchaincontinuumlimitanalyticallyarbitrarycalculations
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We consider the entanglement Hamiltonian for an interval in a chain of free fermions in its ground state and show that the lattice expression goes over into the conformal one if one includes the hopping to distant neighbours in the continuum limit. For an infinite chain, this can be done analytically for arbitrary fillings and is shown to be the consequence of the particular structure of the entanglement Hamiltonian, while for finite rings or temperatures the result is based on numerical calculations.

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