Effect of correlated noises in an optical bistable system

In this paper we focus on the state equation of absorptive optical bistable system with cross-correlated multiplicative noise xi(t) and additive noise eta(t). We find that the area of optical bistability with positive cross-correlation expands in comparison with the deterministic case. Furthermore, a very peculiar phenomenon is shown, namely when the cooperativity parameter C < 4, noise still can induce optical bistability. The phenomenon of noise-induced optical bistability in this paper is just the example of noise-induced phase transition.