Dynamical thermalization in isolated quantum dots and black holes

Understand

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.