Dynamics of symmetry-resolved entanglement after a quench in a free-fermion chain

Quantum 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 during the last years. In this talk, I will discuss the exact dynamics of symmetry-resolved entanglement measures after a global quench in free fermonic systems. In particular, I will highlight two physical phenomena: (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 when the charge sector is close to the mean value of the charge. We use the quasiparticle picture for the entanglement dynamics to argue that our results hold for generic integrable systems. I will conclude the talk with a series of open questions and perspectives for further developments.