  We study numerically a model of quantum dot with interacting fermions. At
strong interactions with small conductance the model is reduced to the
Sachdev-Ye-Kitaev black hole model while at weak interactions and large
conductance it describes a Landau Fermi liquid in a regime of quantum chaos. We
show that above the Aberg threshold for interactions there is an onset of
dynamical themalization with the Fermi-Dirac distribution describing the
eigenstates of isolated dot. At strong interactions in the isolated black hole
regime there is also onset of dynamical thermalization with the entropy
described by the quantum Gibbs distribution. This dynamical thermalization
takes place in an isolated system without any contact with thermostat. We
discuss possible realization of these regimes with quantum dots of 2D electrons
and cold ions in optical lattices.
