Information spreading in many-body systems and the out-of-time-ordered correlator
Abstract
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).- Publication:
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APS March Meeting Abstracts
- Pub Date:
- 2019
- Bibcode:
- 2019APS..MARA27006X