Entanglement Hamiltonians and entropy in 1+1D chiral fermion systems

Abstract

In past work we introduced a method which allows for exact computations of entanglement Hamiltonians. The method relies on computing the resolvent for the projected (on the entangling region) Green's function using a solution to the Riemann-Hilbert problem combined with finite rank perturbation theory. Here we analyze in detail several examples involving excited states of chiral fermions (Dirac and Majorana) on a spatial circle. We compute the exact entanglement Hamiltonians and an exact formula for the change in entanglement entropy due to the introduction of a particle above the Dirac sea. For Dirac fermions, we give the first-order temperature correction to the entanglement entropy in the case of a multiple interval entangling region.

22 pages, 3 Figures

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• Modular Flow of Excited States
• Moving mirrors, Page curves and bulk entropies in AdS${}_2$
• The entanglement and relative entropy of a chiral fermion on the torus
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• Parent Hamiltonian Reconstruction of Jastrow-Gutzwiller Wavefunctions
• Resolving modular flow: a toolkit for free fermions
• Finite temperature negativity Hamiltonians of the massless Dirac fermion
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• Zero-mode entanglement across a conformal defect
• Thermal Correction to Entanglement Spectrum for Conformal Field Theories