Collective dynamics in optomechanical arrays.
TLDR
This talk will introduce arrays of optomechanical cells, and discuss the first theoretical results on the nonlinear dynamics of such a setup, using a mean-field approach based on the Lindblad master equation, as well as semiclassical Langevin equations.Abstract:
Optomechanical systems couple light stored inside an optical cavity to the motion of a mechanical mode. Recent experiments have demonstrated setups, such as photonic crystal structures, that in principle allow one to confine several optical and vibrational modes on a single chip. Here we start to investigate the collective nonlinear dynamics in arrays of coupled optomechanical cells. We show that such ``optomechanical arrays'' can display synchronization, and that they can be described by an effective Kuramoto-type model.read more
Citations
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Sound and heat revolutions in phononics
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Chimera states in mechanical oscillator networks
TL;DR: A simple experiment with mechanical oscillators coupled in a hierarchical network is devised to show that chimeras emerge naturally from a competition between two antagonistic synchronization patterns, and a mathematical model shows that the self-organization observed is controlled by elementary dynamical equations from mechanics that are ubiquitous in many natural and technological systems.
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Topological Phases of Sound and Light
TL;DR: In this article, it was shown that it is possible to harness the radiation pressure interaction between light and matter to produce unidirectional sound propagation, which can be used in everyday life to propagate sound from one location to another.
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Phase Synchronization of Two Anharmonic Nanomechanical Oscillators
Matthew H. Matheny,Matt Grau,Luis Guillermo Villanueva,R. B. Karabalin,Michael Cross,Michael L. Roukes +5 more
TL;DR: This work establishes that oscillator networks constructed from nanomechanical resonators form an ideal laboratory to study synchronization--given their high-quality factors, small footprint, and ease of cointegration with modern electronic signal processing technologies.
References
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Book
Synchronization: A Universal Concept in Nonlinear Sciences
TL;DR: This work discusseschronization of complex dynamics by external forces, which involves synchronization of self-sustained oscillators and their phase, and its applications in oscillatory media and complex systems.
Journal ArticleDOI
The Kuramoto model: A simple paradigm for synchronization phenomena
TL;DR: In this paper, a review of the Kuramoto model of coupled phase oscillators is presented, with a rigorous mathematical treatment, specific numerical methods, and many variations and extensions of the original model that have appeared in the last few years.
Journal ArticleDOI
Strong dispersive coupling of a high-finesse cavity to a micromechanical membrane.
Jeff D. Thompson,Benjamin M. Zwickl,Andrew Jayich,Florian Marquardt,Steven Girvin,Jack Harris +5 more
TL;DR: A cavity which is detuned by the motion of a 50-nm-thick dielectric membrane placed between two macroscopic, rigid, high-finesse mirrors is demonstrated, which segregates optical and mechanical functionality to physically distinct structures and avoids compromising either.
Journal ArticleDOI
Towards Quantum Superpositions of a Mirror
William Marshall,William Marshall,Christoph Simon,Roger Penrose,Roger Penrose,Dirk Bouwmeester,Dirk Bouwmeester +6 more
TL;DR: In this article, the authors proposed an experiment for creating quantum superposition states involving of the order of 10(14) atoms via the interaction of a single photon with a tiny mirror.
Journal ArticleDOI
A picogram- and nanometre-scale photonic-crystal optomechanical cavity
TL;DR: Measurements of an optical system consisting of a pair of specially patterned nanoscale beams in which optical and mechanical energies are simultaneously localized to a cubic-micron-scale volume and for which large per-photon optical gradient forces are realized enable the exploration of cavity optomechanical regimes.