Symmetry-resolved entanglement measures in quantum many-body systems out of equilibrium
Entanglement and symmetries are two pillars of our understanding of quantum many-body systems. For systems with a global conserved charge, it is a non-trivial task to understand the contribution of each charge sector to the total entanglement. This so-called symmetry resolution of entanglement gained a considerable attention recently. In this talk, I will discuss the exact dynamics of symmetry-resolved entanglement measures after a global quench in free-fermonic systems. For the Rényi entropies, we find that: (i) the symmetry-resolved entropies start evolving after a time delay that depends on the charge sector, and (ii) there is an effective equipartition of entanglement. We use the quasiparticle picture for the entanglement dynamics to argue that our results hold for generic integrable systems. I will also discuss the symmetry resolution of entanglement measures for non-complementary subsystems, namely the mutual information and the entanglement negativity. This talk is based on the papers arXiv:2010.09794, arXiv:2106.13115 and arXiv:2202.05309.
Contact: Jérôme Dubail
Speaker - Gilles Parez (Université de Montréal)