Direct observation of coherent energy transfer in nonlinear micromechanical oscillators

Chen, Changyao; Zanette, Damian H.; Czaplewski, David A.; Shaw, Steven; Lopez, Daniel

doi:10.1038/ncomms15523

Title: Direct observation of coherent energy transfer in nonlinear micromechanical oscillators

Journal Article · Fri May 26 00:00:00 EDT 2017 · Nature Communications

DOI:https://doi.org/10.1038/ncomms15523· OSTI ID:1364394

^[1]; Zanette, Damian H. ^[2]; Czaplewski, David A. ^[1];

^[3]; Lopez, Daniel ^[1]

Argonne National Lab. (ANL), Argonne, IL (United States)
Comision Nacional de Energia Atomica (CNEA), Rio Negro (Argentina). Centro Atomico Bariloche (CAB)
Florida Inst. of Technology, Melbourne, FL (United States)

Energy dissipation is an unavoidable phenomenon of physical systems that are directly coupled to an external environmental bath. In an oscillatory system, it leads to the decay of the oscillation amplitude. In situations where stable oscillations are required, the energy dissipated by the vibrations is usually compensated by replenishment from external energy sources. Consequently, if the external energy supply is removed, the amplitude of oscillations start to decay immediately, since there is no means to restitute the energy dissipated. Here, we demonstrate a novel dissipation engineering strategy that can support stable oscillations without supplying external energy to compensate losses. The fundamental intrinsic mechanism of resonant mode coupling is used to redistribute and store mechanical energy among vibrational modes and coherently transfer it back to the principal mode when the external excitation is off. To experimentally demonstrate this phenomenon, we exploit the nonlinear dynamic response of microelectromechanical oscillators to couple two different vibrational modes through an internal resonance.

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Research Organization:: Argonne National Laboratory (ANL), Argonne, IL (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES); National Science Foundation (NSF)

Grant/Contract Number:: AC02-06CH11357

OSTI ID:: 1364394

Journal Information:: Nature Communications, Vol. 8; ISSN 2041-1723

Publisher:: Nature Publishing GroupCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 62 works

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References (33)

Structural optimization for nonlinear dynamic response Dou, Suguang; Strachan, B. Scott; Shaw, Steven W. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 373, Issue 2051 https://doi.org/10.1098/rsta.2014.0408	journal	September 2015
Optomechanical coupling between a multilayer graphene mechanical resonator and a superconducting microwave cavity Singh, V.; Bosman, S. J.; Schneider, B. H. arXiv https://doi.org/10.48550/arxiv.1403.5165	text	January 2014
Frequency stabilization in nonlinear micromechanical oscillators Antonio, Dario; Zanette, Damián H.; López, Daniel Nature Communications, Vol. 3, Issue 1 https://doi.org/10.1038/ncomms1813	journal	January 2012
Optomechanically Induced Transparency Weis, Stefan; Rivière, Rémi; Deléglise, Samuel Science, Vol. 330, Issue 6010 https://doi.org/10.1126/science.1195596	journal	November 2010
Sideband cooling of micromechanical motion to the quantum ground state Teufel, J. D.; Donner, T.; Li, Dale Nature, Vol. 475, Issue 7356 https://doi.org/10.1038/nature10261	journal	July 2011
Measurement of the Casimir Force between Dissimilar Metals Decca, R. S.; López, D.; Fischbach, E. Physical Review Letters, Vol. 91, Issue 5 https://doi.org/10.1103/PhysRevLett.91.050402	journal	July 2003
Anomalous Decay of Nanomechanical Modes Going Through Nonlinear Resonance Shoshani, O.; Shaw, S. W.; Dykman, M. I. Scientific Reports, Vol. 7, Issue 1 https://doi.org/10.1038/s41598-017-17184-6	journal	December 2017
Rapid switching in high-Q mechanical resonators Okamoto, Hajime; Mahboob, Imran; Onomitsu, Koji Applied Physics Letters, Vol. 105, Issue 8 https://doi.org/10.1063/1.4894417	journal	August 2014
The Mechanics of Nonlinear Systems with Internal Resonances Manevich, Arkadiy I.; Manevitch, Leonid I. https://doi.org/10.1142/9781860946820	journal	May 2005
Frequency fluctuations in silicon nanoresonators Sansa, Marc; Sage, Eric; Bullard, Elizabeth C. Nature Nanotechnology, Vol. 11, Issue 6 https://doi.org/10.1038/nnano.2016.19	journal	February 2016
FPU physics with nanomechanical graphene resonators: intrinsic relaxation and thermalization from flexural mode coupling Midtvedt, Daniel; Qi, Zenan; Croy, Alexander arXiv https://doi.org/10.48550/arxiv.1309.1622	text	January 2013
Nonlinear Energy Harvesting Cottone, F.; Vocca, H.; Gammaitoni, L. Physical Review Letters, Vol. 102, Issue 8 https://doi.org/10.1103/PhysRevLett.102.080601	journal	February 2009
Mechanical Resonators for Quantum Optomechanics Experiments at Room Temperature Norte, R. A.; Moura, J. P.; Gröblacher, S. Physical Review Letters, Vol. 116, Issue 14 https://doi.org/10.1103/PhysRevLett.116.147202	journal	April 2016
Fermi-Pasta-Ulam Physics with Nanomechanical Graphene Resonators: Intrinsic Relaxation and Thermalization from Flexural Mode Coupling Midtvedt, Daniel; Croy, Alexander; Isacsson, Andreas Physical Review Letters, Vol. 112, Issue 14 https://doi.org/10.1103/PhysRevLett.112.145503	journal	April 2014
Characterization of MEMS Resonator Nonlinearities Using the Ringdown Response Polunin, Pavel M.; Yang, Yushi; Dykman, Mark I. Journal of Microelectromechanical Systems, Vol. 25, Issue 2 https://doi.org/10.1109/JMEMS.2016.2529296	journal	April 2016
A Mechanical Mass Sensor with Yoctogram Resolution Chaste, J.; Eichler, A.; Moser, J. arXiv https://doi.org/10.48550/arxiv.1204.2758	text	January 2012
A self-sustaining ultrahigh-frequency nanoelectromechanical oscillator Feng, X. L.; White, C. J.; Hajimiri, A. Nature Nanotechnology, Vol. 3, Issue 6 https://doi.org/10.1038/nnano.2008.125	journal	May 2008
Wavelength add-drop switching using tilting micromirrors Ford, J. E.; Aksyuk, V. A.; Bishop, D. J. Journal of Lightwave Technology, Vol. 17, Issue 5 https://doi.org/10.1109/50.762910	journal	May 1999
Duffing revisited: phase-shift control and internal resonance in self-sustained oscillators Arroyo, Sebastián I.; Zanette, Damián H. The European Physical Journal B, Vol. 89, Issue 1 https://doi.org/10.1140/epjb/e2015-60517-3	journal	January 2016
Cavity Optomechanics with Stoichiometric SiN Films Wilson, D. J.; Regal, C. A.; Papp, S. B. Physical Review Letters, Vol. 103, Issue 20 https://doi.org/10.1103/PhysRevLett.103.207204	journal	November 2009
Sideband Cooling Micromechanical Motion to the Quantum Ground State Teufel, J. D.; Donner, T.; Li, Dale arXiv https://doi.org/10.48550/arxiv.1103.2144	text	January 2011
Optomechanical crystals Eichenfield, Matt; Chan, Jasper; Camacho, Ryan M. Nature, Vol. 462, Issue 7269, p. 78-82 https://doi.org/10.1038/nature08524	journal	October 2009
Observation of Gravitational Waves from a Binary Black Hole Merger Abbott, B. P.; Abbott, R.; Abbott, T. D. Physical Review Letters, Vol. 116, Issue 6 https://doi.org/10.1103/PhysRevLett.116.061102	journal	February 2016
Optomechanical coupling between a multilayer graphene mechanical resonator and a superconducting microwave cavity Singh, V.; Bosman, S. J.; Schneider, B. H. Nature Nanotechnology, Vol. 9, Issue 10 https://doi.org/10.1038/nnano.2014.168	journal	August 2014
Internal resonance for nonlinear vibration energy harvesting Cao, D. X.; Leadenham, S.; Erturk, A. The European Physical Journal Special Topics, Vol. 224, Issue 14-15 https://doi.org/10.1140/epjst/e2015-02594-4	journal	November 2015
Graphene nanoelectromechanical systems Proceedings of the IEEE, Vol. 101, Issue 7 https://doi.org/10.1109/JPROC.2013.2253291	journal	July 2013
A review of MEMS oscillators for frequency reference and timing applications van Beek, J. T. M.; Puers, R. Journal of Micromechanics and Microengineering, Vol. 22, Issue 1 https://doi.org/10.1088/0960-1317/22/1/013001	journal	December 2011
Accurate Modeling of Quality Factor Behavior of Complex Silicon MEMS Resonators Ghaffari, Shirin; Ng, Eldwin Jiaqiang; Ahn, Chae Hyuck Journal of Microelectromechanical Systems, Vol. 24, Issue 2 https://doi.org/10.1109/JMEMS.2014.2374451	journal	April 2015
Self-Sustained Micromechanical Oscillator with Linear Feedback Chen, Changyao; Zanette, Damián H.; Guest, Jeffrey R. Physical Review Letters, Vol. 117, Issue 1 https://doi.org/10.1103/PhysRevLett.117.017203	journal	July 2016
Nonlinear energy harvesting Cottone, F.; Gammaitoni, L.; Vocca, H. arXiv https://doi.org/10.48550/arxiv.0808.0266	text	January 2008
Phonon-cavity electromechanics Mahboob, I.; Nishiguchi, K.; Okamoto, H. Nature Physics, Vol. 8, Issue 5 https://doi.org/10.1038/nphys2277	journal	April 2012
Ultralow-Noise SiN Trampoline Resonators for Sensing and Optomechanics Reinhardt, Christoph; Müller, Tina; Bourassa, Alexandre Physical Review X, Vol. 6, Issue 2 https://doi.org/10.1103/physrevx.6.021001	journal	April 2016
The Mechanics of Nonlinear Systems with Internal Resonances Manevich, Arkadiy I.; Manevitch, Leonid I. https://doi.org/10.1142/p368	book	May 2005

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Nonlinear Coupled Vibration of Electrically Actuated Arch with Flexible Supports Wang, Ze; Ren, Jianting Micromachines, Vol. 10, Issue 11 https://doi.org/10.3390/mi10110729	journal	October 2019
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