Symmetry-Resolved Entanglement: General considerations, calculation from correlation functions, and bounds for symmetry-protected topological phases

TL;DR

This paper explores the properties of symmetry-resolved entanglement entropy in particle number conserving systems, providing methods to compute it from correlation functions and establishing bounds for topological phases.

Contribution

It introduces a framework for calculating symmetry-resolved entanglement from correlation functions and derives new bounds for topological phases using majorization.

Findings

Derived lower bounds for entanglement in topological phases

Connected correlation functions to symmetry-resolved entanglement

Improved existing bounds for entanglement entropy

Abstract

We discuss some general properties of the symmetry-resolved von-Neumann entanglement entropy in systems with particle number conservation and describe how to obtain the entanglement components from correlation functions for Gaussian systems. We introduce majorization as an important tool to derive entanglement bounds. As an application, we derive lower bounds both for the number and the configurational entropy for chiral and Cn-symmetric topological phases. In some cases, our considerations also lead to an improvement of the previously known lower bounds for the entanglement entropy in such systems.