Dynamical phases in a ``multifractal'' Rosenzweig-Porter model

  title={Dynamical phases in a ``multifractal'' Rosenzweig-Porter model},
  author={Ivan M Khaymovich and Vladimir E. Kravtsov},
  journal={SciPost Physics},
We consider the static and the dynamical phases in a Rosenzweig-Porter (RP) random matrix ensemble with a distribution of off-diagonal matrix elements of the form of the large-deviation ansatz. We present a general theory of survival probability in such a random-matrix model and show that the averaged survival probability may decay with time as a simple exponent, as a stretch-exponent and as a power-law or slower. Correspondingly, we identify the exponential, the stretch-exponential and the… 

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