Frequency locking and controllable chaos through exceptional point in optomechanics
arXiv:1806.01587 · doi:10.1103/PhysRevE.98.032201
Abstract
We engineer mechanical gain (loss) in system formed by two optomechanical cavities (OMCs), that are mechanically coupled. The gain (loss) is controlled by driving the resonator with laser that is blue (red) detuned. We predict analytically the existence of multiple exceptional points (EPs), a form of degeneracy where the eigenvalues of the system coalesce. At each EP, phase transition occurs, and the system switches from weak to strong coupling regimes and vice versa. In the weak coupling regime, the system locks on an intermediate frequency, resulting from coalescence at the EP. In strong coupling regime, however, two or several mechanical modes are excited depending on system parameters. The mechanical resonators exhibit Rabi-oscillations when two mechanical modes are involved, otherwise the interaction triggers chaos in strong coupling regime. This chaos is bounded by EPs, making it easily controllable by tuning these degeneracies. Moreover, this chaotic attractor shows up for low driving power, compared to what happens when the coupled OMCs are both drived in blue sidebands. This works opens up promising avenues to use EPs as a new tool to study collective phenomena (synchronization, locking effects) in nonlinear systems, and to control chaos.
arXiv comment10 pages, Under review
References in corpus (30)
- Cavity Optomechanics
- Laser cooling of a nanomechanical oscillator into its quantum ground state
- Sideband Cooling Micromechanical Motion to the Quantum Ground State
- Loss-induced suppression and revival of lasing
- Physics and Applications of Laser Diode Chaos
- Exceptional Points of Non-hermitian Operators
- Synchronization of Micromechanical Oscillators Using Light
- Dynamical multistability in high-finesse micromechanical optical cavities
- The emergence, coalescence and topological properties of multiple exceptional points and their experimental realization
- -Symmetry-Breaking Chaos in Optomechanics
- Observation of PT phase transition in a simple mechanical system
- Sideband Cooling Beyond the Quantum Limit with Squeezed Light
- Hanbury Brown and Twiss interferometry of single phonons from an optomechanical resonator
- Dynamic manipulation of mechanical resonators in the high amplitude regime through optical backaction
- Self-induced oscillations in an optomechanical system
- Phonon counting and intensity interferometry of a nanomechanical resonator
- Photonic Cavity Synchronization of Nanomechanical Oscillators
- Synchronization and Phase Noise Reduction in Micromechanical Oscillators Arrays Coupled through Light
- Light stops at exceptional points
- Enhanced nonlinear interactions in quantum optomechanics via mechanical amplification
- Nonlinear cavity optomechanics with nanomechanical thermal fluctuations
- Mechanical PT symmetry in coupled optomechanical systems
- Route to chaos in optomechanics
- Giant nonlinearity via breaking parity-time symmetry: a route to low-threshold phonon diodes
- Nonlinear dynamics and chaos in an optomechanical beam
- Light-mediated cascaded locking of multiple nano-optomechanical oscillators
- Amplitude Noise Squeezing in Cavity-Driven Oscillations of a Mechanical Resonator
- A self-stabilized coherent phonon source driven by optical forces
- Master-Slave Locking of Optomechanical Oscillators Over A Long Distance
- Transient chaos - a resolution of breakdown of quantum-classical correspondence in optomechanics
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- Enhancement of Quantum Sensing in a Cavity Optomechanical System around Quantum Critical Point
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- Exceptional point induced quantum phase synchronization and entanglement dynamics in mechanically coupled gain-loss oscillators
- Detecting the effects of quantum gravity with exceptional points in optomechanical sensors
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- Enhancing the sensitivity of nonlinearity sensors through homodyne detection in dissipatively coupled systems
- Vibration induced transparency: Simulating an optomechanical system via the cavity QED setup with a movable atom
- Proposal for measuring Newtonian constant of gravitation at an exceptional point in an optomechanical system
- Recent advances in the combination of nonlinearity and exceptional points