Operator complexity: a journey to the edge of Krylov space

Abstract Heisenberg time evolution under a chaotic many-body Hamiltonian H transforms an initially simple operator into an increasingly complex one, as it spreads over Hilbert space. Krylov complexity, or ‘K-complexity’, quantifies this growth with respect to a special basis, generated by H by succe...

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Bibliographic Details
Main Authors: E. Rabinovici, A. Sánchez-Garrido, R. Shir, J. Sonner
Format: Article
Language:English
Published: SpringerOpen 2021-06-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP06(2021)062