Universality of Particle and Spatial Entanglement After an Interaction Quench in a Tomonaga-Luttinger Liquid

While the post-quench linear growth of entanglement entropy under a spatial biparition is well understood in terms of the propagation of quasiparticles, very little is known about entanglement dynamics under a bipartition into groups of particles. This so-called particle entanglement entropy is constructed from the familiar n - body reduced density matrix and is thus sensitive to both interactions and particle statistics while not possessing any externally imposed length scale. In this talk we present new results for the long-time limit of the n-particle entanglement after a global interaction quench in a Tomonaga-Luttinger liquid. By considering values of n up to 6 we uncover a previously unknown connection between the particle and spatial entanglement after a quench and discuss how it may be analyzed within the framework of bosonization.