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Transient chaos and Rayleigh particle escape out of a time modulated optical trap

Evgeny N. Bulgakov1, Konstantin N. Pichugin1, and Dmitrii N. Maksimov1,2

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Phys. Rev. E 113, 044216 – Published 23 April, 2026

DOI: https://doi.org/10.1103/fj7q-vm5b

Abstract

We consider Rayleigh particles in a periodically modulated optical trap formed by two counterpropagating Gaussian beams. It is shown that for certain values of the parameters the system exhibits transient chaos which manifests itself in particle acceleration and subsequent directional ejection out of the trap. The escape flights are terminated at a distance of hundreds of wavelengths from the trap center and the particles return to the trap under the action of the Stokes force. The particle escape is shown to be a threshold effect that can be potentially employed for particle sorting.

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References (52)

  1. M. Aspelmeyer, T. J. Kippenberg, and F. Marquardt, Cavity optomechanics, Rev. Mod. Phys. 86, 1391 (2014).
  2. I. Toftul, S. Golat, F. J. Rodríguez-Fortuño, F. Nori, Y. Kivshar, and K. Y. Bliokh, Radiation forces and torques in optics and acoustics, Rev. Mod. Phys. (2025), doi:10.1103/7zdw-p26g.
  3. M. Yang, Y. Shi, Q. Song, Z. Wei, X. Dun, Z. Wang, Z. Wang, C.-W. Qiu, H. Zhang, and X. Cheng, Optical sorting: Past, present and future, Light: Sci. Appl. 14, 103 (2025)
  4. F. Marquardt, J. G. E. Harris, and S. M. Girvin, Dynamical multistability induced by radiation pressure in high-finesse micromechanical optical cavities, Phys. Rev. Lett. 96, 103901 (2006).
  5. M. Ludwig, B. Kubala, and F. Marquardt, The optomechanical instability in the quantum regime, New J. Phys. 10, 095013 (2008).
  6. N. Lörch, J. Qian, A. Clerk, F. Marquardt, and K. Hammerer, Laser theory for optomechanics: limit cycles in the quantum regime, Phys. Rev. X 4, 011015 (2014).
  7. J. Ma, J. Qin, G. T. Campbell, G. Guccione, R. Lecamwasam, B. C. Buchler, and P. K. Lam, Observation of nonlinear dynamics in an optical levitation system, Commun. Phys. 3, 197 (2020).
  8. Z. Fu and L. Yang, Optomechanically induced thermal bistability in an optical microresonator, Phys. Rev. A 105, L061504 (2022).
  9. 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).
  10. L. Bakemeier, A. Alvermann, and H. Fehske, Route to chaos in optomechanics, Phys. Rev. Lett. 114, 013601 (2015).
  11. 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).
  12. P. Djorwe, Y. Pennec, and B. Djafari-Rouhani, Frequency locking and controllable chaos through exceptional points in optomechanics, Phys. Rev. E 98, 032201 (2018).
  13. T. F. Roque, F. Marquardt, and O. M. Yevtushenko, Nonlinear dynamics of weakly dissipative optomechanical systems, New J. Phys. 22, 013049 (2020).
  14. G.-L. Zhu, C.-S. Hu, Y. Wu, and X.-Y. Lü, Cavity optomechanical chaos, Fundam. Res. 3, 63 (2023).
  15. D.-W. Zhang, L.-L. Zheng, M. Wang, Y. Zhou, and X.-Y. Lü, Loss-induced chaos in a double-cavity optomechanical system, Phys. Rev. A 109, 023529 (2024).
  16. A. Saiko, G. Rusetsky, S. Markevich, and R. Fedaruk, Nonlinear optomechanical systems with quasi-periodic and chaotic dynamics, Phys. Lett. A 544, 130462 (2025).
  17. Y. Hu, S. Ding, Y. Qin, J. Gu, W. Wan, M. Xiao, and X. Jiang, Generation of optical frequency comb via giant optomechanical oscillation, Phys. Rev. Lett. 127, 134301 (2021).
  18. Y. Liu, R.-S. Zhao, K.-K. Zhang, Z. Jia, R.-G. Wan, H. Sun, W.-X. Yang, and X.-T. Xie, Optical frequency combs and chaos in a hybrid atom–cavity optomagnonical system via the synergy of double-probe fields, Chaos, Solitons Fractals 188, 115557 (2024).
  19. J. Zhang, B. Peng, S. Kim, F. Monifi, X. Jiang, Y. Li, P. Yu, L. Liu, Y.-x. Liu, A. Alú, and L. Yang, Optomechanical dissipative solitons, Nature (London) 600, 75 (2021).
  20. J. Zhang, M. Orszag, M. Xiao, X. Jiang, Q. Lin, and B. He, Highly correlated optomechanical oscillations manifested by an anomalous stabilization, Phys. Rev. Lett. 133, 103602 (2024).
  21. S. R. Das, S. Majumder, S. K. Sahu, U. Singhal, T. Bera, and V. Singh, Instabilities near ultrastrong coupling in a microwave optomechanical cavity, Phys. Rev. Lett. 131, 067001 (2023).
  22. X. Xu, H. Zhu, S. Chen, F. Li, and X. Zhang, Nonlinear dynamics of cavity optomechanical-thermal systems, Opt. Express 32, 7611 (2024).
  23. F. Bibak, U. Delić, M. Aspelmeyer, and B. Dakić, Dissipative phase transitions in optomechanical systems, Phys. Rev. A 107, 053505 (2023).
  24. J.-Y. Liang, D. Long, M. Wang, Y.-Q. Hu, C.-G. Du, L. Yang, and G.-L. Long, Observation of limit torus and catastrophe point in optomechanical systems, New J. Phys. 26, 103001 (2024).
  25. R.-C. Shen, J. Li, Z.-Y. Fan, Y.-P. Wang, and J. Q. You, Mechanical bistability in kerr-modified cavity magnomechanics, Phys. Rev. Lett. 129, 123601 (2022).
  26. W. Li, J. Cheng, W.-J. Gong, and J. Li, Nonlinear self-sustaining dynamics in cavity magnomechanics, Phys. Rev. A 108, 033518 (2023).
  27. V. Svak, O. Brzobohatý, M. Šiler, P. Jákl, J. Kaňka, P. Zemánek, and S. Simpson, Transverse spin forces and non-equilibrium particle dynamics in a circularly polarized vacuum optical trap, Nat. Commun. 9, 5453 (2018).
  28. S. H. Simpson, Y. Arita, K. Dholakia, and P. Zemánek, Stochastic Hopf bifurcations in vacuum optical tweezers, Phys. Rev. A 104, 043518 (2021).
  29. P. Polimeno, A. Magazzu, M. A. Iati, F. Patti, R. Saija, C. D. E. Boschi, M. G. Donato, P. G. Gucciardi, P. H. Jones, G. Volpe, and O. M. Maragò, Optical tweezers and their applications, J. Quant. Spectrosc. Radiat. Transfer 218, 131 (2018).
  30. G. Pesce, P. H. Jones, O. M. Maragò, and G. Volpe, Optical tweezers: Theory and practice, Eur. Phys. J. Plus 135, 949 (2020).
  31. P. Hänggi, F. Marchesoni, and F. Nori, Brownian motors, Ann. Phys. 517, 51 (2005).
  32. L. Friedland, P. Khain, and A. G. Shagalov, Autoresonant phase-space holes in plasmas, Phys. Rev. Lett. 96, 225001 (2006).
  33. M. Schiavoni, L. Sanchez-Palencia, F. Renzoni, and G. Grynberg, Phase control of directed diffusion in a symmetric optical lattice, Phys. Rev. Lett. 90, 094101 (2003).
  34. M. V. Budyansky, M. Y. Uleysky, and S. V. Prants, Detection of barriers to cross-jet Lagrangian transport and its destruction in a meandering flow, Phys. Rev. E 79, 056215 (2009).
  35. M. T. Greenaway, A. G. Balanov, D. Fowler, A. J. Kent, and T. M. Fromhold, Using acoustic waves to induce high-frequency current oscillations in superlattices, Phys. Rev. B 81, 235313 (2010).
  36. G. G. Carlo, G. Benenti, G. Casati, S. Wimberger, O. Morsch, R. Mannella, and E. Arimondo, Chaotic ratchet dynamics with cold atoms in a pair of pulsed optical lattices, Phys. Rev. A 74, 033617 (2006).
  37. L. Machura, M. Kostur, F. Marchesoni, P. Talkner, P. Hänggi, and J. Luczka, Optimal strategy for controlling transport in inertial Brownian motors, J. Phys.: Condens. Matter 17, S3741 (2005).
  38. R. Gommers, V. Lebedev, M. Brown, and F. Renzoni, Gating ratchet for cold atoms, Phys. Rev. Lett. 100, 040603 (2008).
  39. A. V. Arzola, K. Volke-Sepúlveda, and J. L. Mateos, Experimental control of transport and current reversals in a deterministic optical rocking ratchet, Phys. Rev. Lett. 106, 168104 (2011).
  40. P. Jákl, A. V. Arzola, M. Šiler, L. Chvátal, K. Volke-Sepúlveda, and P. Zemánek, Optical sorting of nonspherical and living microobjects in moving interference structures, Opt. Express 22, 29746 (2014).
  41. N. Dupont, L. Gabardos, F. Arrouas, N. Ombredane, J. Billy, B. Peaudecerf, and D. Guéry-Odelin, Hamiltonian ratchet for matter-wave transport, Phys. Rev. Lett. 131, 133401 (2023).
  42. M. Sadgrove, S. Wimberger, and S. Nic Chormaic, Quantum coherent tractor beam effect for atoms trapped near a nanowaveguide, Sci. Rep. 6, 28905 (2016).
  43. S. Flach, O. Yevtushenko, and Y. Zolotaryuk, Directed current due to broken time-space symmetry, Phys. Rev. Lett. 84, 2358 (2000).
  44. D. Makarov, E. Sosedko, and M. Y. Uleysky, Frequency-modulated ratchet with autoresonance, Eur. Phys. J. B 73, 571 (2010).
  45. D. Hennig, A. Burbanks, A. Osbaldestin, and C. Mulhern, Transient-chaos induced directed transport in a spatially-open Hamiltonian system, J. Phys. A: Math. Theor. 43, 345101 (2010).
  46. L. Novotny and B. Hecht, Principles of Nano-Optics (Cambridge University Press, Cambridge, UK, 2012).
  47. T. Tél, Transient chaos, in Directions in Chaos, edited by Hao Bai Lin (World Scientific, Singapore, 1990), Vol. 3, pp. 149–211.
  48. T. Veijola, H. Kuisma, J. Lahdenperä, and T. Ryhänen, Equivalent-circuit model of the squeezed gas film in a silicon accelerometer, Sens. Actuators, A 48, 239 (1995).
  49. L. Dania, D. S. Bykov, F. Goschin, M. Teller, A. Kassid, and T. E. Northup, Ultrahigh quality factor of a levitated nanomechanical oscillator, Phys. Rev. Lett. 132, 133602 (2024).
  50. G. Volpe and G. Volpe, Simulation of a Brownian particle in an optical trap, Am. J. Phys. 81, 224 (2013).
  51. T. Li, S. Kheifets, and M. G. Raizen, Millikelvin cooling of an optically trapped microsphere in vacuum, Nat. Phys. 7, 527 (2011).
  52. G. Afek, N. Davidson, D. A. Kessler, and E. Barkai, Colloquium: Anomalous statistics of laser-cooled atoms in dissipative optical lattices, Rev. Mod. Phys. 95, 031003 (2023).

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Phys. Rev. E 113, 044216– Published 23 April, 2026
  • Received 2 October 2025
  • Accepted 12 March 2026
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