This work proposes a new universality class for dynamical quantities involving multiple forward and backward evolutions, such as out-of-time-order correlation functions and entanglement entropies. In certain analytically tractable models, their evaluation reduces to an effective theory of an ``entanglement membrane" by averaging over random local unitaries defining the dynamical evolution. We show here how to make sense of this membrane in more realistic models without randomness. Our approach relies on introducing effective degrees of freedom that pairs the forward and backward trajectories in spacetime, which allows us to carry over the scaling pictures from random unitary circuit to non-random models. We show that a consistent line tension may be defined for the entanglement membrane. And we provide an efficient numerical algorithm to evaluate it in some translationally invariant Floquet spin chains studied in the literature.
This seminar wil be hosted as Zom Meeting, the information will be sent via email soon, if you do not recieve it before April 15, please email Janice at jbenner@illinois.edu
