Enhanced high-order sideband generation and clear carrier-envelope phase-dependent effects in three-mode cavity optomechanics

Besides the standard optomechanics with an optical mode coupled to a mechanical mode through the radiation pressure force, three-mode optomechanical systems including two cavity modes interacting with a mechanical mode have recently drawn much attention. In this paper, we propose a scheme for enhanced high-order sideband generation (HSG) and clear carrier-envelope phase-dependent (CEP) effects in a three-mode cavity optomechanical system, where two optical cavity modes are coupled to a common mechanical resonator. In the present scheme, the left cavity mode is coherently pumped by a continuous-wave (CW) control field and an intense nanosecond signal pulse, and the cavity output via the loss channel is monitored. The right cavity mode is only pumped by a CW driving field. Via numerical simulations, we show that when the right pump is turned off, the effect of HSG can be observed in the output spectrum of the left cavity mode in the non-perturbative regime. However, when the right cavity mode is pumped at its blue sideband, enhanced HSG can be achieved and a clear CEP effect can be observed in the generated high-order sideband spectra. This study may provide the further insight of the HSG and CEP effects in cavity optomechanics in the nonlinear and non-perturbative regime, and may find potential applications in the areas of optical communications and quantum information processing.