Abstract
We present an exact analytical solution of the two-photon scattering in a
cavity optomechanical system. This is achieved by solving the quantum dynamics
of the total system, including the optomechanical cavity and the environment,
with the Laplace transform method. The long-time solution reveals various
physical processes involved as well as the corresponding resonant photon
frequencies. In addition, we calculate the equal-time second-order correlation
function for the cavity field and show that the photon blockade effect is
strongly modulated by the phonon sideband resonance.
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