Floquet theory for driven-dissipative dynamics of superconducting circuits

The manipulation and the measurement of any system made of superconducting qubits rely on the use of often strong microwave drives. Current experiments show that the standard Lindblad Master Equation commonly used to describe these driven systems breaks down even for moderate drive strength. We developed a corrected numerical implementation of the Floquet-Markov Master Equation that exactly takes into account the effects of drives and apply it to study more accurately the dissipative dynamics of superconducting qubits.