Irradiated magnetotransport in ultra-high mobility 2D electron systems and quantum superposition

We report a theoretical model on the microwave-induced resistance oscillations based on the coherent states of the quantum harmonic oscillator. We first obtain an expression for the coherent states of driven-quantum harmonic oscillators. Then, we make use of these new states in the microwave-induced electron orbit model to calculate the magnetoresistance under light. We extend the model applying quantum superposition to obtain even and odd coherent states for these systems. Consequently, we explain the resonant peak shift that appears in these samples when mobility is ultra-high. Finally we present calculated results on magnetoresistance higher harmonics and the dependence of the resonant peak on temperature and radiation power.