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Estimation for entanglement negativity of free fermions

Christopher P. HerzogDepartment of Physics and Astronomy, C. N. Yang Institute for Theoretical Physics, Stony Brook University, Stony Brook, NY 11794, USAYihong WangDepartment of Physics and Astronomy, C. N. Yang Institute for Theoretical Physics, Stony Brook University, Stony Brook, NY 11794, USA
2016en
ABI

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In this letter we study the negativity of one dimensional free fermions. We derive the general form of the $\mathbb{Z}_{N}$ symmetric term in moments of the partial transposed (reduced) density matrix, which is an algebraic function of the end points of the system. Such a path integral turns out to be a convenient tool for making estimations for the negativity.

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