Optomechanically induced transparency and gain

Optomechanically induced transparency is an important quantum phenomenon in cavity optomechanics. Here, we study the properties of optomechanically induced transparency in the simplest optomechanical system (consisting of one cavity and one mechanical resonator) considering the effect of non-rotating wave approximation (NRWA) that was ignored in previous works. With the NRWA effect, we find the ideal optomechanically induced transparency dip can be easily achieved, and the width of optomechanically induced transparency dip can become very narrow especially in unresolved sideband regime. Finally, we study the properties of optomechanically induced gain, and give the analytic expression about the maximum value of gain.