noise Assisted nonlinear Dynamics in Optomechanical Resonators – ADOR

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Synchronization in chaos and demonstration of vibrational resonance in electromechanical resonators

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2 publications

ADOR, strongly settle in basic science side, aims at enlarging the scope of barely studied nonlinear dynamics assisted by noise in optomechanics with a versatile system whose elementary elements are suspended photonic crystal membrane embedding an optical cavity. These single or coupled Nano-Opto-ElectroMechanical (NOEMs) resonators could be used as a toy-system to pursue three main goals: stochastic amplification, noise-enhanced synchronisation between coupled or uncoupled oscillators and chaos.

In order to achieve these goals, ADOR will implement a disruptive architecture relying on value-added 3D heterogeneous integration mastered at C2N: (i) photonic crystal membrane embedding optical and mechanical modes with silicon waveguides for sensitive optical detection and (ii) interdigitated electrodes for efficient excitation.

Fortified by these innovative structures, ADOR will first tackle stochastic amplification, one of the most shining and relatively simple examples of this nontrivial behaviour of nonlinear systems under the influence of noise. In this frame, the prerequisite nonlinear behaviour can be obtained either in the optical or mechanical domain. Thus, an in-depth investigation of modulation (broaden or multifrequency) and noise (noise colour, additive /multiplicative nature of noise) configuration in optics or mechanics will allow to find an optimized combination for enhanced amplification of any kind of weak signal.

With such devices, coupling simultaneously an optical and a mechanical resonator, a variety of configuration can be envisioned getting out noise-aided phenomenon of single element model. Based on the know-how developed and the in-depth understanding about stochastic resonance with a single resonator, second objective of ADOR is to couple first two and then several resonators for enhancing even more the amplification by noise. For isolated nonlinear elements, conventional stochastic resonance enables the use of noise as a single control parameter. On the contrary, in an array of nonlinear elements, the coupling strength enrich the possibilities of an additional design parameter. This may allow to reach new and unconventional phenomenon induced by noise such as noise-induced phase transition and synchronization with common noise for uncoupled resonators.

Finally, chaotic behavior of a single and multiple resonators will be studied allowing for the use and the control by noise of their chaotic behavior.
These phenomenon for enhancing the sensing ability with non-linear phenomena will be supported by numerical work in order to understand the underlying physics and shine light on new phenomenon. The rich multi-physic nature of the envisioned device opens new avenue for potential use of such noise-aided processes with strong impact in noise-assisted applications including signal processing or sensing.