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

@article{Khaymovich2021DynamicalPI, title={Dynamical phases in a ``multifractal'' Rosenzweig-Porter model}, author={Ivan M Khaymovich and Vladimir E. Kravtsov}, journal={SciPost Physics}, year={2021} }

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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