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Seminar Physique Math茅matique
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Title: Dynamics of symmetry-resolved entanglement measures in free fermionic systems

础产蝉迟谤补肠迟:听The presence of a global internal symmetry in a quantum many-body system is reflected in the fact that the entanglement between its subparts is endowed with an internal structure, namely it can be decomposed as sum of contributions associated to each symmetry sector. The study of the symmetry resolution of entanglement measures provides a formidable tool to probe the out of- equilibrium dynamics of quantum systems.

In this talk I will present the results of a series of works, done in collaboration with Gilles Parez and under the supervision of Prof. Pasquale Calabrese, devoted to the study of the dynamics of three different symmetry-resolved entanglement measures after a global quantum quench, namely the entanglement entropy, the mutual information and the negativity.

In the context of free fermions, we are able to provide analytical results for the relevant time-dependent quantities. In particular, we find that entanglement entropies, mutual information and logarithmic negativity show effective equipartition in the scaling limit of large time and subsystem size. Moreover, we argue that these phenomena occur in more general quantum systems, as they can be understood from the quasiparticle picture for the spreading of entanglement in integrable models.