Abstract
A theoretical consideration of the so-called ``membrane-in-the-middle'' optomechanical cavity revealed that it undergoes a spontaneous symmetry breaking as a function of transparency of the membrane. Such typical features of this phenomenon as a square-root development of the order parameter and divergence of the critical susceptibility were identified. In the contrast to a classical spontaneous-symmetry-breaking system of ferroelectrics, in the system considered, this divergence remains, due to interference effects, an ``internal'' property of the system, which does not reveal itself in any singularity of the output optomechanical response, though the latter is appreciably affected.
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