Abstract
Optomechanics is a growing research field, which has received a great attention in the last decade both theoretically and experimentally. In this paper, we theoretically study the optomechanically induced transparency with spins coupled to the cavity field, while the cavity filed is driven by external strong coupling and weak probe fields. We analytically calculated the dynamics, as well as the transmissivity of the optomechanical system. The transmission is also examined and discussed. Moreover, the detailed behavior of the transmission shows well the optomechanical induced transparency (OMIT). The paper also show that the OMIT behaviors are strongly affected by the coupling between the spin ensemble and cavity field, as well as the spin decay rate.
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