Quantum complexity of time evolution with chaotic Hamiltonians

Abstract We study the quantum complexity of time evolution in large-N chaotic systems, with the SYK model as our main example. This complexity is expected to increase linearly for exponential time prior to saturating at its maximum value, and is related to the length of minimal geodesics on the mani...

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Bibliographic Details
Main Authors: Vijay Balasubramanian, Matthew DeCross, Arjun Kar, Onkar Parrikar
Format: Article
Language:English
Published: SpringerOpen 2020-01-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP01(2020)134