  We study optomechanical entanglement between an optical cavity field and a
movable mirror coupled to a non-Markovian environment. The non-Markovian
quantum state diffusion (NMQSD) approach and the non-Markovian master equation
are shown to be useful in investigating the entanglement generation between the
cavity field and the movable mirror. The simple model presented in this paper
demonstrates several interesting properties of optomechanical entanglement that
are associated with environment memory effects. It is evident that the
effective environment central frequency can be used to modulate the
optomechanical entanglement. In addition, we show that the maximum entanglement
may be achieved by properly choosing the effective detuning which is
significantly dependent on the strength of the memory effect of the
environment.
