Estimation for Entanglement Negativity of Free Fermions
Christopher P. Herzog, Yihong Wang
TL;DR
This paper develops a method to estimate the entanglement negativity in one-dimensional free fermion systems using algebraic functions of system endpoints and path integrals.
Contribution
It derives a general algebraic form for the $ ext{Z}_N$ symmetric term in moments of the partial transpose, aiding negativity estimation.
Findings
Derived algebraic form for the $ ext{Z}_N$ symmetric term
Introduced path integral approach for negativity estimation
Facilitated algebraic and path integral methods for free fermions
Abstract
In this letter we study the negativity of one dimensional free fermions. We derive the general form of the 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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