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Scrambling without chaos in RCFT

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arxiv 1602.06542 v4 pith:VE2HQPJL submitted 2016-02-21 hep-th cond-mat.str-elquant-ph

Pawel Caputa , Tokiro Numasawa , Alvaro Veliz-Osorio This is my paper · ORCID
classification hep-thcond-mat.str-elquant-ph
keywords correlatorsout-of-time-orderedtheorieschaoslatepuritytimeuniversal
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abstract

In this paper we investigate measures of chaos and entanglement in rational conformal field theories in 1+1 dimensions. First, we derive a universal formula for the late time value of the out-of-time-ordered correlators for this class of theories. Our universal result can be expressed as a particular combination of the modular S-matrix elements known as the anyon monodromy scalar. Next, in the explicit setup of a $SU(N)_k$ Wess-Zumino-Witten model, we compare the late time behavior of the out-of-time-ordered correlators and the purity. Interestingly, in the large-c limit, the purity grows logarithmically as in holographic theories; in contrast, the out-of-time-ordered correlators remain, in general, non-vanishing.

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Cited by 3 Pith papers

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  1. QG from SymQRG: AdS$_3$/CFT$_2$ Correspondence as Topological Symmetry-Preserving Quantum RG Flow

    hep-th 2024-12 conditional novelty 7.0 of 10

    A framework called SymQRG identifies 3D quantum gravity as the symmetry-preserving RG flow of 2D CFTs, realized discretely by U_q(SL(2,R)) 6j symbols.

  2. Global Symmetry and Maximal Chaos

    hep-th 2019-08 conditional novelty 6.0 of 10

    For arbitrary-high-charge operators in a system with a global symmetry and chemical potential, the chaos bound weakens to 2πT/(1-|μ/μ_c|), where μ_c is the critical chemical potential.

  3. Thermal Pseudo-Entropy

    hep-th 2024-11 conditional novelty 5.0 of 10

    Thermal pseudo-entropy is the analytic continuation S(β+it) of thermal entropy, equals the pseudo-entropy of a Thermofield Double transition matrix, and its averaged real part tracks the spectral form factor.

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