Operator growth and spread complexity in open quantum systems

• Published in: Europhysics letters Vol. 147; no. 3; pp. 38002 - 38008
• Main Authors: Carolan, Eoin, Kiely, Anthony, Campbell, Steve, Deffner, Sebastian
• Format: Journal Article
• Language: English
• Published: Les Ulis EDP Sciences, IOP Publishing and Società Italiana di Fisica 01.08.2024; IOP Publishing
• Subjects: Complexity; Dynamics; Population distribution

Commonly, the notion of “quantum chaos” refers to the fast scrambling of information throughout complex quantum systems undergoing unitary evolution. Motivated by the Krylov complexity and the operator growth hypothesis, we demonstrate that the entropy of the population distribution for an operator...