Multiphoton resonance in a driven Kerr oscillator in presence of high-order nonlinearities

Abstract

We consider multiphoton resonance in the quantum driven nonlinear oscillator in presence of high-order nonlinearities. Multiphoton resonances were associated with anticrossings of the quasienergy levels, which leads to the emergence of peaks and dips in the detuning dependence of the stable states occupations. In presence of high-order nonlinearities the positions of anticrossings acquire different shifts. Depending on the ratio between high-order-nonlinearity-induced shift of the multiphoton resonance and Kerr nonlinearity, the multiphoton resonance can acquire fine structure. We also considered the effect of finite damping on the relative occupation of the stable states. For different damping constants, we determined the quasienergy region where the anticrossing effects strongly influence the system kinetics.