Higher-order sidebands in optomechanically induced transparency are discussed in a generic optomechanical system. We take account of nonlinear terms and give an effective method to deal with such problems. It is shown that, if a strong control field with frequency ω 1 and a weak probe field with frequency ω p are incident upon the optomechanical system, then there are output fields with frequencies ω 1 ± 2 generated, where = ω p − ω 1 . We analyze the amplitude of the output field ω 1 + 2 and look at how it varies with the control field and show that the amplitude of the second-order sideband can be controlled by the strong control field.
We theoretically investigate the slow light in a quadratically coupled optomechanical system. Different from the linear coupling case, the slow light via quadratic coupling derives from a two-phonon process, and the fluctuation in displacement plays a vital role in nonlinear coherence. The numerical results show that the slow light can be realized in an extensive range of parameters even at high temperature, e.g., 200 K. We also find that the environment temperature which provides almost all of the phonon energy, together with the coupling field power, jointly drive the realization of slow light.
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