Operator growth in open quantum systems: lessons from the dissipative SYK
From MaRDI portal
Publication:6101198
DOI10.1007/JHEP03(2023)054arXiv2212.06180OpenAlexW4323849259MaRDI QIDQ6101198
Author name not available (Why is that?)
Publication date: 31 May 2023
Published in: (Search for Journal in Brave)
Abstract: We study the operator growth in open quantum systems with dephasing dissipation terms, extending the Krylov complexity formalism of Phys. Rev. X 9, 041017. Our results are based on the study of the dissipative -body Sachdev-Ye-Kitaev (SYK) model, governed by the Markovian dynamics. We introduce a notion of operator size concentration which allows a diagrammatic and combinatorial proof of the asymptotic linear behavior of the two sets of Lanczos coefficients ( and ) in the large limit. Our results corroborate with the semi-analytics in finite in the large limit, and the numerical Arnoldi iteration in finite and finite limit. As a result, Krylov complexity exhibits exponential growth following a saturation at a time that grows logarithmically with the inverse dissipation strength. The growth of complexity is suppressed compared to the closed system results, yet it upper bounds the growth of the normalized out-of-time-ordered correlator (OTOC). We provide a plausible explanation of the results from the dual gravitational side.
Full work available at URL: https://arxiv.org/abs/2212.06180
No records found.
No records found.
This page was built for publication: Operator growth in open quantum systems: lessons from the dissipative SYK
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6101198)
