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Towards entanglement negativity of two disjoint intervals for a one dimensional free fermion
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Towards entanglement negativity of two disjoint intervals for a one dimensional free fermion
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We study the moments of the partial transpose of the reduced density matrix of two intervals for the free massless Dirac fermion. By means of a direct calculation based on coherent state path integral, we find an analytic form for these moments in terms of the Riemann theta function. We show that the moments of arbitrary order are equal to the same quantities for the compactified boson at the self-dual point. These equalities imply the non trivial result that also the negativity of the free fermion and the self-dual boson are equal.
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Cited by 1 Pith paper
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A Toy Model for Topological Entanglement Features in 1+1D Integrable Quantum Field Theory
In the Federbush model, branch-point twist field form factors and first-order quench corrections are independent of the topological coupling λ, so Rényi entropies of the infinite-volume vacuum match two free Dirac fermions.
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