The PhD student shall study the time evolution after a quench/excitation for experimentally relevant model Hamiltonians (e.g., Fermi-Hubbard model), especially in the regime of strong correlations. The goal is the theoretical understanding of the dependence of this temporal evolution on the intrinsic dynamics of the system, the initial conditions (e.g. temperature), and the specific mechanism of excitation or quenching.
To this end, mainly analytical methods shall be developed and applied (possibly supplemented by numerical simulations, when appropriate).
Thereby, the PhD student will develop expertise with advanced analytical approaches to many-body quantum dynamics.