The information spreading in quantum many-body systems under unitary real-time evolution is related to the growth of simple Heisenberg operators, which is quantified by out-of-time-order correlation (OTOC) functions. Using a time-dependent disordered Hamiltonian model, I will analytically show the emergence of hydrodynamics description of the OTOC arising from the unitary real-time dynamics. Corrections of quantum fluctuation are manifested as the diffusively broadened wavefront of the OTOC. This picture is supported by large-scale ( 200 spins) real-time dynamics simulation on realistic spin Hamiltonians using our newly developed tensor-network method.This material is based upon work supported by the Simons Foundation via the It From Qubit Collaboration, by the Air Force Office of Scientific Research under Award Number FA9550-171-0180, and by the NSF Physics Frontier Center at the Joint Quantum Institute (PHY-1430094).
APS March Meeting Abstracts
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