Synchronization and Phase Noise Reduction in Micromechanical Oscillator Arrays Coupled through Light.

Synchronization of many coupled oscillators is widely found in nature and has the potential to revolutionize timing technologies. Here, we demonstrate synchronization in arrays of silicon nitride micromechanical oscillators coupled in an all-to-all configuration purely through an optical radiation field. We show that the phase noise of the synchronized oscillators can be improved by almost 10 dB below the phase noise limit for each individual oscillator. These results open a practical route towards synchronized oscillator networks.

[1]  P. McEuen,et al.  Synchronization of micromechanical oscillators using light , 2011, IEEE Photonic Society 24th Annual Meeting.

[2]  H. Tang,et al.  Photonic cavity synchronization of nanomechanical oscillators. , 2013, Physical review letters.

[3]  J. Ophir,et al.  IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control , 2008, IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control.

[4]  K. Vahala,et al.  Observation of injection locking in an optomechanical RF oscillator , 2008, LEOS 2008 - 21st Annual Meeting of the IEEE Lasers and Electro-Optics Society.

[5]  M. Imboden,et al.  Synchronized Oscillation in Coupled Nanomechanical Oscillators , 2007, Science.

[6]  Kerry Vahala,et al.  Cavity opto-mechanics. , 2007, Optics express.

[7]  K. J. Dean,et al.  Waves and Fields in Optoelectronics: Prentice-Hall Series in Solid State Physical Electronics , 1984 .

[8]  Thierry Botter,et al.  Optical readout of the quantum collective motion of an array of atomic ensembles. , 2013, Physical review letters.

[9]  R. Rosenfeld.  Nature , 2009, Otolaryngology--head and neck surgery : official journal of American Academy of Otolaryngology-Head and Neck Surgery.

[10]  Franziska Abend,et al.  Sync The Emerging Science Of Spontaneous Order , 2016 .

[11]  M C Cross.  Improving the frequency precision of oscillators by synchronization. , 2012, Physical review. E, Statistical, nonlinear, and soft matter physics.

[12]  Chris Arney.  Sync: The Emerging Science of Spontaneous Order , 2007 .

[13]  Mani Hossein-Zadeh,et al.  Characterization of a radiation-pressure-driven micromechanical oscillator , 2006 .

[14]  Xudong Cao,et al.  Phase noise in coupled oscillators: theory and experiment , 1997 .

[15]  Markku Kuittinen,et al.  Tunable external-cavity diode laser at 650 nm based on a transmission diffraction grating. , 2002, Applied optics.

[16]  W. Marsden.  I and J , 2012 .

[17]  Michal Lipson,et al.  Octave-spanning frequency comb generation in a silicon nitride chip. , 2011, Optics letters.

[18]  A. Seshia,et al.  Observation of locked phase dynamics and enhanced frequency stability in synchronized micromechanical oscillators. , 2013, Physical review letters.

[19]  Michal Lipson,et al.  Master-slave locking of optomechanical oscillators over a long distance , 2014, 2014 Conference on Lasers and Electro-Optics (CLEO) - Laser Science to Photonic Applications.

[20]  K. Vahala,et al.  Mechanical oscillation and cooling actuated by the optical gradient force. , 2009, Physical review letters.

[21]  Nico Karssemeijer,et al.  Ultrasonics, Ferroelectrics, and Frequency Control , 2011 .

[22]  A Mari,et al.  Measures of quantum synchronization in continuous variable systems. , 2013, Physical review letters.

[23]  C. Nguyen.  MEMS technology for timing and frequency control , 2005, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[24]  M. Lipson,et al.  Eliminating structural loss in optomechanical resonators using elastic wave interference , 2013, CLEO: 2013.

[25]  Jürgen Kurths,et al.  Synchronization - A Universal Concept in Nonlinear Sciences , 2001, Cambridge Nonlinear Science Series.

[26]  M. Roukes,et al.  Phase synchronization of two anharmonic nanomechanical oscillators. , 2013, Physical review letters.

[27]  Zach DeVito,et al.  Opt , 2017 .

[28]  Chenguang Huang,et al.  Internal frequency mixing in a single optomechanical resonator , 2012 .

[29]  Charles S. Peskin,et al.  Mathematical aspects of heart physiology , 1975 .

[30]  David D. Wentzloff,et al.  IEEE Transactions on Microwave Theory and Techniques and Antennas and Propagation Announce a Joint Special Issue on Ultra-Wideband (UWB) Technology , 2010 .

[31]  W. Grange,et al.  Rapid and label-free nanomechanical detection of biomarker transcripts in human RNA , 2006, Nature nanotechnology.

[32]  D. Leeson.  A simple model of feedback oscillator noise spectrum , 1966 .

[33]  Florian Marquardt,et al.  Collective dynamics in optomechanical arrays , 2010, 2013 Conference on Lasers & Electro-Optics Europe & International Quantum Electronics Conference CLEO EUROPE/IQEC.

[34]  S. Reppert,et al.  Coordination of circadian timing in mammals , 2002, Nature.

[35]  H. Haus.  Waves and fields in optoelectronics , 1983 .

[36]  G J Milburn,et al.  Synchronization of many nanomechanical resonators coupled via a common cavity field. , 2011, Physical review. E, Statistical, nonlinear, and soft matter physics.

[37]  Pascal Del'Haye,et al.  Self-injection locking and phase-locked states in microresonator-based optical frequency combs. , 2013, Physical review letters.

[38]  Frank C. Hoppensteadt,et al.  Synchronization of MEMS resonators and mechanical neurocomputing , 2001 .

[39]  M. Roukes,et al.  Large-scale integration of nanoelectromechanical systems for gas sensing applications. , 2012, Nano letters.

[40]  Andrew G. Glen,et al.  APPL , 2001 .

[41]  A. Pikovsky,et al.  Synchronization: Theory and Application , 2003 .

[42]  J. Rogers,et al.  Synchronization by nonlinear frequency pulling. , 2004, Physical review letters.

[43]  Oskar Painter,et al.  Two-dimensional phononic-photonic band gap optomechanical crystal cavity. , 2014, Physical review letters.

[44]  N. Flowers-Jacobs,et al.  Optically mediated hybridization between two mechanical modes. , 2013, Physical review letters.