Branching time and Many-body Chaos

ORAL

Abstract

Branching time is defined in terms of the retarded kernel to quantify the stringy effects in SYK-like models. In this work, after presenting a weighting trick to calculate the branching time, we prove a bound on the branching time for a large class of systems. We also derive a relation between the branching time, the Lyapunov exponent and the quasiparticle lifetime for weakly coupling models.

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Presenters

  • Pengfei Zhang

    • Caltech
    • Institute for Quantum Information and Matter, California Institute of Technology
    • Tsinghua University

Authors

  • Yingfei Gu

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

  • Alexei Kitaev

    • Caltech
    • Physics, Caltech

  • Hui Zhai

    • Tsinghua University
    • Institute for Advanced Study, Tsinghua University

  • Pengfei Zhang

    • Caltech
    • Institute for Quantum Information and Matter, California Institute of Technology
    • Tsinghua University