A Single-Photon Router in Quantum Fluctuation of Field

We investigate a single-photon quantum router in quantum fluctuation of fields. The optomechanical system composed of a cigar-shaped Bose-Einstein condensate trapped in an ultrahigh-finesse Fabry-Pérot cavity. We show how an analog of electromagnetically induced transparency in an optomechanical system can be used to produce a switch for a quantum fluctuation field using very low pumping field strength. The numerical results show that the output photon is completely different by turning the pump off and turning the pump on. We also show that the quantum noise sources are very small. This optomechanical system can serve as a single-photon quantum router.