Linear growth of circuit complexity from Brownian dynamics

Abstract How rapidly can a many-body quantum system generate randomness? Using path integral methods, we demonstrate that Brownian quantum systems have circuit complexity that grows linearly with time. In particular, we study Brownian clusters of N spins or fermions with time-dependent all-to-all in...

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Bibliographic Details
Main Authors: Shao-Kai Jian, Gregory Bentsen, Brian Swingle
Format: Article
Language:English
Published: SpringerOpen 2023-08-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP08(2023)190

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