Periodically driven topological non-interacting and interacting quantum lattice systems

Abstract

Periodically driven quantum lattice systems are nowadays reachable in the laboratory. Those systems, which can host exotic non-equilibrium phases and phenomena, attract intensive theoretical studies. In this thesis, we use field theoretical Keldysh-Floquet methods to study periodically driven topological lattice systems, especially the non-interacting and interacting Rice-Mele models that can support topological transports. With the theoretical understanding of the periodically driven topological phases, we found dissipative stabilized quantized non-adiabatic charge pumps in a non-interacting lattice model. This dissipative charge pump is observed in the wave-guide experiments. Further, we studied the strongly correlated driven topological lattice systems through the non-equilibrium Floquet-Keldysh dynamical mean-field theory. In our studies, we covered the adiabatic to high-frequency regimes and weakly interacting to strongly interacting regimes for the interacting systems. This may give us a qualitative picture of the strongly correlated quantum phases in periodically driven topological lattice models.