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Entanglement Spectrum of Chiral Fermions on the Torus
Pascal Fries1, Ignacio A Reyes2
1Fakultät für Physik und Astronomie, Julius-Maximilians Universität Würzburg, Am Hubland, 97074 Würzburg, Germany.
Abstract:
We determine the modular Hamiltonian of chiral fermions on the torus, for an arbitrary set of disjoint intervals at generic temperature. We find that, in addition to a local Unruh-like term, each point is nonlocally coupled to an infinite but discrete set of other points, even for a single interval. These accumulate near the boundaries of the intervals, where the coupling becomes increasingly redshifted. Remarkably, in the presence of a zero mode, this set of points "condenses" within the interval at low temperatures, yielding continuous nonlocality.
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