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In certain analytically-tractable quantum chaotic systems, dynamical quantities of information theoretical nature, such as entanglement entropies after a quench and the out-of-time ordered correlation functions are determined by an emergent "membrane" in space time. These tractable systems involve an average over random local unitaries defining the dynamical evolution. Those averages generate spin-like effective degrees of freedom of which the membrane is the domain wall. We here show how to construct the membrane in more realistic models, which do not involve an average over random unitaries. By systematically resumming the "Feymann history" of the evolution in such systems, we find that the domain wall is thickened, but still makes sense in a coarse grained time scale. We develop an efficient numerical algorithm that extracts a consistent line-tension of the membrane -- the key macroscopic quantity governing the dynamics -- in translationally-invariant Floquet models.
Dr. Tianci Zhou received his BSc from ZheJiang University in 2012 and his PhD from University of Illinois at Urbana-Champaign (USA) in 2018. Since September 2018, he is a postdoctoral researcher in the group of Prof. Leon Balents at the Kavli Institute for Theoretical Physics, UC Santa Barbara. His interests include quantum chaos, entanglement, and non-equilibrium dynamics of many-body systems. He has published research articles in highly valued Physics journals, including 1 in Physical Review Letters, 1 in Annalen der Physik, 1 in Physics Letters A, 5 in Physical Review (B and D), and 3 in the Journal of Statistical Mechanics.