Equivalence between an optomechanical system and a Kerr medium

@article{Aldana2013EquivalenceBA,
  title={Equivalence between an optomechanical system and a Kerr medium},
  author={Samuel Aldana and Christoph Bruder and Andreas Nunnenkamp},
  journal={Physical Review A},
  year={2013},
  volume={88},
  pages={043826}
}
We study the optical bistability of an optomechanical system in which the position of a mechanical oscillator modulates the cavity frequency. The steady-state mean-field equation of the optical mode is identical to the one for a Kerr medium, and thus we expect it to have the same characteristic behavior with a lower, a middle, and an upper branch. However, the presence of position fluctuations of the mechanical resonator leads to a new feature: the upper branch will become unstable at… 

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