Floquet States in Open Quantum Systems

In Floquet engineering, periodic driving is used to realize novel phases of matter that are inaccessible in thermal equilibrium. For this purpose, the theory provides us a recipe for obtaining static effective Hamiltonian. Although many existing works have treated closed systems, it important consider effect dissipation, which ubiquitous nature. Understanding interplay and dissipation fundamental problem nonequilibrium statistical physics receiving growing interest because fact experimental advances allowed engineer controllable manner. review, we give detailed exposition on formalism quantum master equations open systems highlight recent work investigating whether equilibrium mechanics applies states.