2018/06/30 by Silvia Pappalardi, Angelo Russomanno, Bojan Žunkovič +3 · 1 citation
Physics and Astronomy · #quant-ph #cond-mat.stat-mech
paper · pdf · doi:10.1103/physrevb.98.134303
published as Phys. Rev. B 98, 134303 (2018) · 11 pages, 8 figures and Supplementary Material
arxiv created 2018/10/10 · arxiv updated 2018/10/17
We study scrambling in connection to multipartite entanglement dynamics in regular and chaotic long-range spin chains, characterized by a well defined semi-classical limit. For regular dynamics, scrambling and entanglement dynamics are found to be very different: up to the Ehrenfest time they rise side by side departing only afterwards. Entanglement saturates and becomes extensively multipartite, while scrambling continues its growth up to the recurrence time. Remarkably, the exponential behaviour of scrambling emerges not only in the chaotic case, but also in the regular one, when the dynamics occurs at a dynamical critical point.