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Operator size growth in Lindbladian SYK

04/26 2024 Seminar
  • Title Operator size growth in Lindbladian SYK
  • Speaker Zhuo-Yu Xian (University of Würzburg)
  • Date 10:00 Apr. 26, 2024
  • Venue 6620
  • Abstract
    We investigate the growth of operator size in the Lindbladian SYK model with q-body interaction terms and linear jump terms at finite dissipation strength. At weak dissipation, the evolution of operator size displays a quadratic-exponential-plateau behavior. We also find that the uncertainty relation for operator size growth is saturated at large q, leading to a classical dynamics of the operator size growth with dissipation.

    Biography
    Zhuo-Yu Xian got his Ph.D. degree from the Institute of High Energy Physics (IHEP), Chinese Academy of Science (CAS) in 2018. After that, he worked as a postdoc at the Institute of Theoretical Physics (ITP), CAS, and the Julius-Maximilians-University of Würzburg. Recently, he is interested in holography, the SYK model, and quantum chaos.

    Inviter
    Jie-Qiang Wu