On symmetry-resolved generalized entropies

TL;DR

This paper develops a computational framework for symmetry-resolved generalized entropies, enabling the study of entanglement structures in systems with symmetries, including excited states and out-of-equilibrium dynamics, with applications to free boson theories and lattice models.

Contribution

It introduces a novel framework for symmetry-resolved generalized entropies applicable to excited states and dynamical processes in symmetric quantum systems.

Findings

Framework successfully applied to (1+1)-d free massless compact boson theory.

Results benchmarked with lattice computations in the XX chain.

Framework provides access to symmetry charge distributions and full counting statistics.

Abstract

Symmetry-resolved entanglement, capturing the refined structure of quantum entanglement in systems with global symmetries, has attracted a lot of attention recently. In this manuscript, introducing the notion of symmetry-resolved generalized entropies, we aim to develop a computational framework suitable for the study of excited state symmetry-resolved entanglement as well as the dynamical evolution of symmetry-resolved entanglement in symmetry-preserving out-of-equilibrium settings. We illustrate our framework using the example of (1+1)-d free massless compact boson theory, and benchmark our results using lattice computation in the XX chain. As a byproduct, our computational framework also provides access to the probability distribution of the symmetry charge contained within a subsystem and the corresponding full counting statistics.