Route to chaos in optomechanics

Abstract

We establish the emergence of chaotic motion in optomechanical systems. Chaos appears at negative detuning for experimentally accessible values of the pump power and other system parameters. We describe the sequence of period doubling bifurcations that leads to chaos, and state the experimentally observable signatures in the optical spectrum. In addition to the semi-classical dynamics we analyze the possibility of chaotic motion in the quantum regime. We find that quantum mechanics protects the optomechanical system against irregular dynamics, such that simple periodic orbits reappear and replace the classically chaotic motion. In this way observation of the dynamical signatures makes it possible to pin down the crossover from quantum to classical mechanics.

5 pages, 7 figures. Final version as published

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• Self-cooling of a micro-mirror by radiation pressure
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• Experimental exploration of the optomechanical attractor diagram and its dynamics
• Bichromatic synchronized chaos in coupled optomechanical nanoresonators
• Vibrational Kerr solitons in an optomechanical microresonator
• Enhancement of Quantum Sensing in a Cavity Optomechanical System around Quantum Critical Point
• Transient chaos - a resolution of breakdown of quantum-classical correspondence in optomechanics
• Instabilities near ultrastrong coupling in microwave optomechanical cavity
• Parametric control of self-sustained and self-modulated optomechanical oscillations
• Quantum Zeno effect in self-sustaining systems: suppressing phase diffusion via repeated measurements
• Hybrid coupling optomechanically assisted nonreciprocal photon blockade
• Mechanical cooling in the bistable regime of a dissipative optomechanical cavity with a Kerr medium
• Nonlinear optomechanical systems with quasi-periodic and chaotic dynamics
• Chaos in Optomechanical Systems coupled to a Non-Markovian environment
• Quantum signatures of transitions from stable fixed points to limit cycles in optomechanical systems
• Nonlinear optomechanical resonance entering a self-organized energy transfer pattern
• Highly correlated optomechanical oscillations manifested by an anomalous stabilization
• Infinite Ergodicity that Preserves the Lebesgue Measure
• Time crystal and chaos in the hybrid atom-optomechanics system
• Non-Markovian environment induced chaos in optomechanical system
• Quantum signatures of bistability and limit cycle in Kerr-modified cavity magnomechanics
• Chaos in the quantum Duffing oscillator in the semiclassical regime under parametrized dissipation
• Dynamical tunnelling of a Nano-mechanical Oscillator
• Classical properties of the leading eigenstates of quantum dissipative systems
• Chiral Chaos Enhanced Sensing
• Route to hyperchaos in quadratic optomechanics
• Classical route to quantum chaotic motions