Large parametric amplification in an optomechanical system

Buters, Frank; Eerkens, Hedwig; Heeck, K.; Weaver, Matthew; Pepper, Brian; Sonin, Petro; Man, S. de; Bouwmeester, Dirk

doi:10.1088/0031-8949/2015/t165/014003

Cited by 2 publications

(1 citation statement)

References 19 publications

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“…At the parametric instability point, where the backaction-induced mechanical gain overcomes mechanical loss, mechanical self-oscillations start [8], [9], [10], and the system enters into a nonlinear regime. This regime is a prerequisite to study collective phenomena such as synchronization and frequency locking [11], [12], [13], [14], [15].…”

Section: Introductionmentioning

confidence: 99%

Frequency locking and controllable chaos through exceptional points in optomechanics

2018

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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.

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Section: Introductionmentioning

confidence: 99%

Frequency locking and controllable chaos through exceptional points in optomechanics

2018

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Multistability, staircases, and optical high-order sideband combs in optomechanics

2020

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Optomechanical systems are known to exhibit self-sustained limit cycles once driven above the parametric instability point. This breaks down the linearized approximation and induces novel nonlinear effects such as dynamical multistability, staircase behavior, and the generation of optical high-order sideband combs (HOSCs). Here, we study the classical nonlinear dynamics of optomechanical systems. We combine numerical simulations and analytical investigation to predict dynamical multistability in the resolved sideband regime. A way to predict the onset of the period doubling process and to control the multistability is analytically provided by tuning the optical linewidth. Indeed, the multistability behavior first changes to a staircase shape and gradually disappears as the system approaches the unresolved sideband limit. We exploit the multistable attractors to generate optical HOSCs by acting solely on the initial values instead of increasing the driving strength. This is the figure of merit of our proposal to relate multistability to the HOSC. As a result, the properties (bandwidth, intensity) of the combs are improved as the mechanical resonator moves towards upper attractors. This work opens a way for low-power HOSC generation in optomechanics and the related technological applications.

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Large parametric amplification in an optomechanical system

Cited by 2 publications

References 19 publications

Frequency locking and controllable chaos through exceptional points in optomechanics

Frequency locking and controllable chaos through exceptional points in optomechanics

Multistability, staircases, and optical high-order sideband combs in optomechanics

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