Estimation for Entanglement Negativity of Free Fermions

Abstract

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.

18 pages, 2 figures; v2: minor typos corrected,v3: minor revision,v4:minor typos corrected

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