Nonlinear dynamics and chaos in an optomechanical beam

Daniel Navarro-Urrios (), Néstor E. Capuj, Martín F. Colombano, P. David García, Marianna Sledzinska, Francesc Alzina, Amadeu Griol, Alejandro Martínez and Clivia M. Sotomayor-Torres
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Daniel Navarro-Urrios: Catalan Institute of Nanoscience and Nanotechnology (ICN2), CSIC and The Barcelona Institute of Science and Technology
Néstor E. Capuj: Depto. Física, Universidad de la Laguna
Martín F. Colombano: Catalan Institute of Nanoscience and Nanotechnology (ICN2), CSIC and The Barcelona Institute of Science and Technology
P. David García: Catalan Institute of Nanoscience and Nanotechnology (ICN2), CSIC and The Barcelona Institute of Science and Technology
Marianna Sledzinska: Catalan Institute of Nanoscience and Nanotechnology (ICN2), CSIC and The Barcelona Institute of Science and Technology
Francesc Alzina: Catalan Institute of Nanoscience and Nanotechnology (ICN2), CSIC and The Barcelona Institute of Science and Technology
Amadeu Griol: Nanophotonics Technology Center, Universitat Politècnica de València
Alejandro Martínez: Nanophotonics Technology Center, Universitat Politècnica de València
Clivia M. Sotomayor-Torres: Catalan Institute of Nanoscience and Nanotechnology (ICN2), CSIC and The Barcelona Institute of Science and Technology

Nature Communications, 2017, vol. 8, issue 1, 1-10

Abstract: Abstract Optical nonlinearities, such as thermo-optic mechanisms and free-carrier dispersion, are often considered unwelcome effects in silicon-based resonators and, more specifically, optomechanical cavities, since they affect, for instance, the relative detuning between an optical resonance and the excitation laser. Here, we exploit these nonlinearities and their intercoupling with the mechanical degrees of freedom of a silicon optomechanical nanobeam to unveil a rich set of fundamentally different complex dynamics. By smoothly changing the parameters of the excitation laser we demonstrate accurate control to activate two- and four-dimensional limit cycles, a period-doubling route and a six-dimensional chaos. In addition, by scanning the laser parameters in opposite senses we demonstrate bistability and hysteresis between two- and four-dimensional limit cycles, between different coherent mechanical states and between four-dimensional limit cycles and chaos. Our findings open new routes towards exploiting silicon-based optomechanical photonic crystals as a versatile building block to be used in neurocomputational networks and for chaos-based applications.

Date: 2017
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DOI: 10.1038/ncomms14965

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