We theoretically demonstrate the mechanically mediated electromagnetically induced transparency in a two-mode cavity optomechanical system, where two cavity modes are coupled to a common mechanical resonator. When the two cavity modes are driven on their respective red sidebands by two pump beams, a transparency window appears in the probe transmission spectrum due to destructive interference. Under this situation the transmitted probe beam can be delayed as much as 4 µs, which can be easily controlled by the power of the pump beams. In addition, we also investigate the amplification of the transmitted probe beam owing to constructive interference when one cavity is driven on its blue sideband while another one is driven on its red sideband.

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We explore theoretically the bistable behavior of intracavity photon number in a two-mode cavity optomechanical system, where two cavity modes are coupled to a common mechanical resonator. When the two cavity modes are driven by two pump laser beams, respectively, we find that the optical bistability can be controlled by tuning the power and frequency of the pump beams. The common interaction to a mechanical mode enables one to control the bistable behavior in one cavity by adjusting the pump laser beam driving another cavity. We also show that both branches of optical bistability at photon numbers below unity can be observed in this two-mode optomechanical system. This phenomenon can find potential applications in controllable optical switch.

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Nanomechanical resonators provide an unparalleled mass sensitivity sufficient to detect single biomolecules, viruses and nanoparticles. In this work we propose a scheme for mass sensing based on the hybrid opto-electromechanical system, where a mechanical resonator is coupled to an optical cavity and a microwave cavity simultaneously. When the two cavities are driven by two pump fields with proper frequencies and powers, a weak probe field is used to scan across the optical cavity resonance frequency. The mass of a single baculovirus landing onto the surface of the mechanical resonator can be measured by tracking the resonance frequency shift in the probe transmission spectrum before and after the deposition. We also propose a nonlinear mass sensor based on the measurement of the four-wave mixing (FWM) spectrum, which can be used to weigh a single 20-nm-diameter gold nanoparticle with sub-femtogram resolution.

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PACS 42.65.Hw -Phase conjugation; photorefractive and Kerr effects PACS 42.50.Gy -Effects of atomic coherence on propagation, absorption, and amplification of light; electromagnetically induced transparency and absorption PACS 42.50.Wk -Mechanical effects of light on material media, microstructures and particles Abstract -We theoretically investigate the four-wave mixing (FWM) process in a two-mode cavity optomechanical system, where two cavity modes are coupled to a common mechanical resonator. The left cavity is driven by a strong pump laser beam and a weak probe laser beam simultaneously, but the right cavity is only driven by a strong pump laser beam. It is shown that when both cavities are driven at their respective red sidebands, optomechanically induced transparency (OMIT) appears and FWM is resonantly enhanced with reduced linear absorption. However, when the left cavity is driven at its red sideband but the right cavity is driven at its blue sideband, robust photon entanglement can be realized (Tian L., Phys. Rev. Lett., 110 (2013) 233602). In this case, the FWM intensity can be increased by three orders of magnitude at lower pump power.

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