Quantumness of Correlations in Fermionic Systems

TL;DR

This paper introduces a new method to quantify quantum correlations in fermionic systems, leveraging symmetries for analytical solutions and exploring the dynamics of quantumness in dissipative topological systems.

Contribution

It develops an analytical approach to measure quantumness of correlations in fermionic systems using Multipartite Relative Entropy, and links it to the quantumness of indistinguishable particles.

Findings

Symmetries enable analytical solutions for quantumness measures.

Minimization reduces to quantumness of indistinguishable particles.

Dissipative systems can exhibit topological non-local correlations.

Abstract

We present a new approach for the quantification of quantumness of correlations in fermionic systems. We study the Multipartite Relative Entropy of Quantumness in such systems, and show how the symmetries in the states can be used to obtain analytical solutions. Numerical evidences about the uniqueness of such solutions are also presented. Supported by these results, we show that the minimization of the Multipartite Relative Entropy of Quantumness, over certain choices of its modes multipartitions, reduces to the notion of Quantumness of Indistinguishable Particles. By means of an activation protocol, we characterize the class of states without quantumness of correlations. As an example, we calculate the dynamics of quantumness of correlations for a purely dissipative system, whose stationary states exhibit interesting topological non-local correlations.