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Molecular Entanglement and Electrospinnability of Biopolymers
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Entanglement Hamiltonians for Chiral Fermions with Zero Modes
Israel Klich1, Diana Vaman1, Gabriel Wong1
1Department of Physics, University of Virginia, Box 400714, Charlottesville, Virginia 22904, USA.
Abstract:
In this Letter, we study the effect of topological zero modes on entanglement Hamiltonians and the entropy of free chiral fermions in (1+1)D. We show how Riemann-Hilbert solutions combined with finite rank perturbation theory allow us to obtain exact expressions for entanglement Hamiltonians. In the absence of the zero mode, the resulting entanglement Hamiltonians consist of local and bilocal terms. In the periodic sector, the presence of a zero mode leads to an additional nonlocal contribution to the entanglement Hamiltonian. We derive an exact expression for this term and for the resulting change in the entanglement entropy.
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