Scrambling and Floquet in Conformal Field Theory

ORAL

Abstract

Scrambling and Floquet are two important subjects in the study of quantum dynamics but hard to describe in general. Conformal field theory provides an ideal platform to get more analytical understanding. My talk will be divided into two parts. In the first part, I will discuss scrambling in the unitary minimal models, by analytically calculating out-of-time-order-correlation functions. In particular I will focus on the early-time and late-time behaviors and how they are related to each other. In the second part, I will talk about Floquet physics for general 2D CFTs. The Floquet driving is implemented with the sine-squared deformation. I will discuss the heating features and their stability.

*R.F and Ashivin Vishwanath acknowledge funding from the Simons Foundation through Ashvin Vishwanath’s Simons Investigator grant. R. F. was also supported by the Purcell fellowship. Yingfei Gu is supported by the Gordon and Betty Moore Foundation EPiQS Initiative through Grant (GBMF-4306). Xueda Wen is supported by the Gordon and Betty Moore Foundation’s EPiQS initiative through Grant (GBMF-4303).

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Presenters

  • Ruihua Fan

    • Physics Department, Harvard University

Authors

  • Ruihua Fan

    • Physics Department, Harvard University

  • Xueda Wen

    • Physics Department, Massachusetts Institute of Technology
    • Massachusetts Institute of Technology

  • Yingfei Gu

    • Physics Department, Harvard University

  • Ashvin Vishwanath

    • Harvard Univ
    • Physics Department, Harvard University
    • Department of Physics, Harvard University
    • Harvard University
    • Physics, Harvard University
    • Havard University