title: Light-Mediated Cascaded Locking of Multiple Nano-Optomechanical Oscillators.
abstract: Collective phenomena emerging from nonlinear interactions between multiple oscillators, such as synchronization and frequency locking, find applications in a wide variety of fields. Optomechanical resonators, which are intrinsically nonlinear, combine the scientific assets of mechanical devices with the possibility of long distance controlled interactions enabled by traveling light. Here we demonstrate light-mediated frequency locking of three distant nano-optomechanical oscillators positioned in a cascaded configuration. The oscillators, integrated on a chip along a common coupling waveguide, are optically driven with a single laser and oscillate at gigahertz frequency. Despite an initial mechanical frequency disorder of hundreds of kilohertz, the guided light locks them all with a clear transition in the optical output. The experimental results are described by Langevin equations, paving the way to scalable cascaded optomechanical configurations.
authors.affiliation: Matériaux et Phénomènes Quantiques, Université Paris Diderot, CNRS UMR 7162 Sorbonne Paris Cité, 75013 Paris, France.
authors.forename: E
authors.initials: E
authors.lastname: Gil-Santos
authors.affiliation: Matériaux et Phénomènes Quantiques, Université Paris Diderot, CNRS UMR 7162 Sorbonne Paris Cité, 75013 Paris, France.
authors.forename: M
authors.initials: M
authors.lastname: Labousse
authors.affiliation: Matériaux et Phénomènes Quantiques, Université Paris Diderot, CNRS UMR 7162 Sorbonne Paris Cité, 75013 Paris, France.
authors.forename: C
authors.initials: C
authors.lastname: Baker
authors.affiliation: Matériaux et Phénomènes Quantiques, Université Paris Diderot, CNRS UMR 7162 Sorbonne Paris Cité, 75013 Paris, France.|Institut Langevin, ESPCI Paris, CNRS UMR 7587, PSL Research University, 75005 Paris, France.
authors.forename: A
authors.initials: A
authors.lastname: Goetschy
authors.affiliation: Matériaux et Phénomènes Quantiques, Université Paris Diderot, CNRS UMR 7162 Sorbonne Paris Cité, 75013 Paris, France.|Institut Langevin, ESPCI Paris, CNRS UMR 7587, PSL Research University, 75005 Paris, France.
authors.forename: W
authors.initials: W
authors.lastname: Hease
authors.affiliation: Centre de Nanosciences et de Nanotechnologies, CNRS, Université Paris Sud, Université Paris-Saclay, C2N-Marcoussis, 91460 Marcoussis, France.
authors.forename: C
authors.initials: C
authors.lastname: Gomez
authors.affiliation: Centre de Nanosciences et de Nanotechnologies, CNRS, Université Paris Sud, Université Paris-Saclay, C2N-Marcoussis, 91460 Marcoussis, France.
authors.forename: A
authors.initials: A
authors.lastname: Lemaître
authors.affiliation: Matériaux et Phénomènes Quantiques, Université Paris Diderot, CNRS UMR 7162 Sorbonne Paris Cité, 75013 Paris, France.
authors.forename: G
authors.initials: G
authors.lastname: Leo
authors.affiliation: Matériaux et Phénomènes Quantiques, Université Paris Diderot, CNRS UMR 7162 Sorbonne Paris Cité, 75013 Paris, France.
authors.forename: C
authors.initials: C
authors.lastname: Ciuti
authors.affiliation: Matériaux et Phénomènes Quantiques, Université Paris Diderot, CNRS UMR 7162 Sorbonne Paris Cité, 75013 Paris, France.
authors.forename: I
authors.initials: I
authors.lastname: Favero