Abstract:
The dynamical control of self-oscillation on optomechanical resonator assisted with quadratic coupling is investigated. The main model is based on a cross-coupling Hamiltonian of the optical cavity field with a nanomechanical resonator.By a theoretical analysis of a quadratic coupling, it is found that the quadratic coupling can not only facilitate the self-sustained oscillation of the system but also lead to new features for the nonlinear dynamical control. With the periodic controlling field on an adiabatic resonator, the quadratic coupling leads to a strange resonant chaotic behavior. For a full equation of the coupling system, a negative quadratic coupling can effectively reduce the energy resonance frequency, strengthen the energy resonant peaks. Under conditions of the same parameters, the negative quadratic coupling can expand the phase area of the limit cycles in the resonant case, which indicates an effective energy control of the optomechanical resonator induced by the quadratic coupling.
