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An optomechanical force sensor for a mechanical oscillator in a non-Markovian environment is presented. By performing homodyne detection, we obtain a general expression for the output signal. It is shown that the weak force detection is sensitive to the non-Markovian environment. The additional noise can be reduced and the mechanical sensitivity can be obviously amplified compared to the Markovian condition even in resolved sideband regimes without using assistant systems or squeezing. Our results provide a promising platform for improving the sensitivity of weak-force ultrasensitive detection.

A scheme of single-photon multi-port router is put forward by coupling two optomechanical cavities with waveguides. It is shown that the coupled two optomechanical cavities can exhibit photon blockade effect, which is generated from interference of three mode interaction. A single-photon travel along the system is calculated. The results show that the single photon can be controlled in the multi-port system because of the radiation pressure, which should be useful for constructing quantum network.

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