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

References in corpus (9)

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• Radiation-pressure cooling and optomechanical instability of a micro-mirror
• Self-cooling of a micro-mirror by radiation pressure
• Continuous quantum measurement and Itô formalism
• Precision measurement of charge number with optomechanically induced transparency
• The optomechanical instability in the quantum regime
• Classical to Quantum Transition of a Driven Nonlinear Nanomechanical Resonator
• Radiation pressure driven vibrational modes in ultra-high-Q silica microspheres
• Classical to quantum transition of a driven nonlinear nanomechanical resonator

Cited by in corpus (12)

• $\mathcal{P}\mathcal{T}$-Symmetry-Breaking Chaos in Optomechanics
• Noise robustness of synchronization of two nanomechanical resonators coupled to the same cavity field
• Observation of optomechanical coupling in a microbottle resonator
• Symmetry-breaking oscillations in membrane optomechanics
• Experimental exploration of the optomechanical attractor diagram and its dynamics
• Transient chaos - a resolution of breakdown of quantum-classical correspondence in optomechanics
• Quantum Zeno effect in self-sustaining systems: suppressing phase diffusion via repeated measurements
• 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
• Classical properties of the leading eigenstates of quantum dissipative systems
• Classical route to quantum chaotic motions