Symmetry-breaking oscillations in membrane optomechanics

Abstract

We study the classical dynamics of a membrane inside a cavity in the situation where this optomechanical system possesses a reflection symmetry. Symmetry breaking occurs through supercritical and subcritical pitchfork bifurcations of the static fixed point solutions. Both bifurcations can be observed through variation of the laser-cavity detuning, which gives rise to a boomerang-like fixed point pattern with hysteresis. The symmetry-breaking fixed points evolve into self-sustained oscillations when the laser intensity is increased. In addition to the analysis of the accompanying Hopf bifurcations we describe these oscillations at finite amplitudes with an ansatz that fully accounts for the frequency shift relative to the natural membrane frequency. We complete our study by following the route to chaos for the membrane dynamics.

arXiv comment8 pages, 10 figures. Published version

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• Floquet scattering of light and sound in Dirac optomechanics
• Quantum signatures of transitions from stable fixed points to limit cycles in optomechanical systems
• Highly correlated optomechanical oscillations manifested by an anomalous stabilization
• Highly sensitive temperature sensing via quadratic optomechanical coupling
• Route to hyperchaos in quadratic optomechanics