Robustness of quantum symmetries against perturbations

TL;DR

This paper studies the stability of quantum symmetries under Hamiltonian perturbations, providing algebraic characterizations of those robust against various perturbations.

Contribution

It offers a complete algebraic characterization of quantum symmetries that remain stable under perturbations, advancing understanding of symmetry robustness.

Findings

Characterization of symmetries robust against a single perturbation

Extension to stability under arbitrary sets of perturbations

Algebraic criteria for symmetry robustness

Abstract

We investigate quantum symmetries in terms of their large-time stability with respect to perturbations of the Hamiltonian. We find a complete algebraic characterization of the set of symmetries robust against a single perturbation and we use such result to characterize their stability with respect to arbitrary sets of perturbations.