Abstract
We study the simplest optomechanical system with a focus on the bistable
regime. The covariance matrix formalism allows us to study both cooling and
entanglement in a unified framework. We identify two key factors governing
entanglement, namely the bistability parameter, i.e. the distance from the end
of a stable branch in the bistable regime, and the effective detuning, and we
describe the optimum regime where entanglement is greatest. We also show that
in general entanglement is a non-monotonic function of optomechanical coupling.
This is especially important in understanding the optomechanical entanglement
of the second stable branch.
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