ITP OpenIR  > SCI期刊论文
Jian, Shao-Kai; Swingle, Brian1,2; Xian, Zhuo-Yu
Complexity growth of operators in the SYK model and in JT gravity
AbstractThe concepts of operator size and computational complexity play important roles in the study of quantum chaos and holographic duality because they help characterize the structure of time-evolving Heisenberg operators. It is particularly important to understand how these microscopically defined measures of complexity are related to notions of complexity defined in terms of a dual holographic geometry, such as complexity-volume (CV) duality. Here we study partially entangled thermal states in the Sachdev-Ye-Kitaev (SYK) model and their dual description in terms of operators inserted in the interior of a black hole in Jackiw-Teitelboim (JT) gravity. We compare a microscopic definition of complexity in the SYK model known as K-complexity to calculations using CV duality in JT gravity and find that both quantities show an exponential-to-linear growth behavior. We also calculate the growth of operator size under time evolution and find connections between size and complexity. While the notion of operator size saturates at the scrambling time, our study suggests that complexity, which is well defined in both quantum systems and gravity theories, can serve as a useful measure of operator evolution at both early and late times.
Cooperation Status国际
Subject AreaPhysics
MOST Discipline CataloguePhysics, Particles & Fields
Indexed BySCIE
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Document Type期刊论文
Affiliation1.Univ Maryland, Dept Phys, Condensed Matter Theory Ctr, College Pk, MD 20742 USA
2.Brandeis Univ, Dept Phys, Waltham, MA 02453 USA
3.Chinese Acad Sci, Inst Theoret Phys, CAS Key Lab Theoret Phys, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Jian, Shao-Kai,Swingle, Brian,Xian, Zhuo-Yu. Complexity growth of operators in the SYK model and in JT gravity[J]. JOURNAL OF HIGH ENERGY PHYSICS,2021(3):14.
APA Jian, Shao-Kai,Swingle, Brian,&Xian, Zhuo-Yu.(2021).Complexity growth of operators in the SYK model and in JT gravity.JOURNAL OF HIGH ENERGY PHYSICS(3),14.
MLA Jian, Shao-Kai,et al."Complexity growth of operators in the SYK model and in JT gravity".JOURNAL OF HIGH ENERGY PHYSICS .3(2021):14.
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