Operator complexity: a journey to the edge of Krylov space

A bstract 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 succ...

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Vydáno v:	The journal of high energy physics Ročník 2021; číslo 6; s. 1 - 24
Hlavní autoři:	Rabinovici, E., Sánchez-Garrido, A., Shir, R., Sonner, J.
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Berlin/Heidelberg Springer Berlin Heidelberg 01.06.2021 Springer Nature B.V SpringerOpen
Témata:	AdS-CFT Correspondence Algorithms Black holes Classical and Quantum Gravitation Commutators Complexity Elementary Particles Evolution Field Theories in Lower Dimensions High energy physics Hilbert space Nonperturbative Effects Numerical analysis Parallel processing Physical properties Physics Physics and Astronomy Quantum Field Theories Quantum Field Theory Quantum Physics Random Systems Regular Article - Theoretical Physics Relativity Theory String Theory AdS-CFT Correspondence Field Theories in Lower Dimensions Random Systems Nonperturbative Effects
ISSN:	1029-8479, 1029-8479
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