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Paper   IPM / Particles / 17241
School of Particles and Accelerator
  Title:   Chaos Near to the Critical Point: Butterfly Effect and Pole-Skipping
  Author(s): 
1.  B Amrahi
2.  M Asadi
3.  F Taghinavaz
  Status:   Submitted
  Journal:
  Year:  2023
  Supported by:  IPM
  Abstract:
We study the butterfly effect and pole-skipping phenomenon for the 1RCBH model which enjoys a critical point in its phase diagram. Using the holographic idea, we compute the butterfly velocity and interestingly find that this velocity can probe the critical behavior of this model. We calculate the dynamical exponent of this quantity near the critical point and find a perfect agreement with the value of the other quantity's dynamical exponent near this critical point. We also find that at chaos point, the phenomenon of pole-skipping appears which is a sign of a multivalued retarded correlation function. We briefly address the butterfly velocity and pole-skipping for the AdS-RN black hole solution which on its boundary a strongly coupled charged field theory lives. For both of these models, we find v2B≥c2s at each point of parameter space where cs is the speed of sound wave propagation.

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