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  • Letter
  • Open Access

Collective quantum stochastic resonance in Rydberg atoms

Haowei Li1,*, Konghao Sun1,*, and Wei Yi1,2,3,4,†

  • *These authors contributed equally to this work.
  • †Contact author: wyiz@ustc.edu.cn
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Phys. Rev. Research 6, L042046 – Published 21 November, 2024

DOI: https://doi.org/10.1103/PhysRevResearch.6.L042046

Abstract

We study the collective response of a group of dissipative Rydberg atoms to a periodic modulation of the Rydberg excitation laser. Focusing on the emergent collective-jump dynamics, where the system stochastically switches between states with distinct Rydberg excitations, we show that the counting statistics of the state switching is qualitatively changed by the periodic drive. The impact is most prominent when the driving frequency is comparable to the emergent collective-jump rate, as the jumps tend to synchronize with the external drive, and their counting statistics exhibits a series of suppressed subharmonics of the driving frequency. These phenomena are manifestations of a novel type of stochastic resonance, where a cooperative collective state switching is facilitated by quantum fluctuations in a many-body open system. Such a collective quantum stochastic resonance further leads to an enhanced signal-to-noise ratio in the power spectrum of the Rydberg excitations, for which the synchronized collective jumps are viewed as the output signal. We confirm the many-body quantum nature of the resonance by devising a cluster model, under which the role of many-body correlations is analyzed by changing the size of the atom clusters.

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References (43)

  1. L. Gammaitoni, P. Hanggi, P. Jung, and F. Marchesoni, Stochastic resonance, Rev. Mod. Phys. 70, 223 (1998).
  2. T. Wellens, V. Shatokhin, and A. Buchleitner, Stochastic resonanc, Rep. Prog. Phys. 67, 45 (2004).
  3. R. Benzi, A. Sutera, and A. Vulpiani, The mechanism of stochastic resonance, J. Phys. A 14, L453 (1981).
  4. J. K. Douglass, L. Wilkens, E. Pantazelou, and F. Moss, Noise enhancement of information transfer in crayfish mechanoreceptors by stochastic resonance? Nature (London) 365, 337 (1993).
  5. D. F. Russell, L. A. Wilkens, and F. Moss, Use of behavioural stochastic resonance by paddle fish for feeding, Nature (London) 402, 291 (1999).
  6. B. McNamara, K. Wiesenfeld, and R. Roy, Observation of stochastic resonance in a ring laser, Phys. Rev. Lett. 60, 2626 (1988).
  7. A. Buchleitner and R. N. Mantegna, Quantum stochastic resonance in a micromaser, Phys. Rev. Lett. 80, 3932 (1998).
  8. S. F. Huelga and M. B. Plenio, Quantum stochastic resonance in electron shelving, Phys. Rev. A 62, 052111 (2000).
  9. A. Joshi and M. Xiao, Stochastic resonance in atomic optical bistability, Phys. Rev. A 74, 013817 (2006).
  10. J. Han, H. Liu, Q. Sun, N. Huang, Z. Wang, and S. Li, Extracting nanosecond pulse signals via stochastic resonance generated by surface plasmon bistability, Opt. Lett. 40, 5367 (2015).
  11. K. J. H. Peters, Z. Geng, K. Malmir, J. M. Smith, and S. R. K. Rodriguez, Extremely broadband stochastic resonance of light and enhanced energy harvesting enabled by memory effects in the nonlinear response, Phys. Rev. Lett. 126, 213901 (2021).
  12. S. Fauve and F. Heslot, Stochastic resonance in a bistable system, Phys. Lett. A 97, 5 (1983).
  13. K. Wiesenfeld, D. Pierson, E. Pantazelou, C. Dames, and F. Moss, Stochastic resonance on a circle, Phys. Rev. Lett. 72, 2125 (1994).
  14. R. Löfstedt and S. M. Coppersmith, Quantum stochastic resonance, Phys. Rev. Lett. 72, 1947 (1994).
  15. D. E. Makarov and N. Makri, Stochastic resonance and nonlinear response in double-quantum-well structures, Phys. Rev. B 52, R2257 (1995).
  16. M. Grifoni and P. Hänggi, Coherent and incoherent quantum stochastic resonance, Phys. Rev. Lett. 76, 1611 (1996).
  17. K. Dong and N. Makri, Quantum stochastic resonance in the strong-field limit, Phys. Rev. A 70, 042101 (2004).
  18. S. F. Huelga and M. B. Plenio, Stochastic resonance phenomena in quantum many-body systems, Phys. Rev. Lett. 98, 170601 (2007).
  19. T. Wagner, P. Talkner, J. C. Bayer, E. P. Rugeramigabo, P. Hänggi, and R. J. Haug, Quantum stochastic resonance in an a.c.-driven single-electron quantum dot, Nat. Phys. 15, 330 (2019).
  20. M. Hänze, G. McMurtrie, S Baumann, L. Malavolti, S. N. Coppersmith, and S. Loth, Quantum stochastic resonance of individual Fe atoms, Sci. Adv. 7, eabg2616 (2021).
  21. M. Saffman, T. G. Walker, K. Mølmer, Quantum information with Rydberg atoms, Rev. Mod. Phys. 82, 2313 (2010).
  22. A. Browaeys and T. Lahaye, Many-Body physics with individually-controlled Rydberg atoms, Nat. Phys. 16, 132 (2020).
  23. M. D. Lukin, M. Fleischhauer, R. Cote, L. M. Duan, D. Jaksch, J. I. Cirac, and P. Zoller, Dipole blockade and quantum information processing in mesoscopic atomic ensembles, Phys. Rev. Lett. 87, 037901 (2001).
  24. H. Bernien, S. Schwartz, A. Keesling, H. Levine, A. Omran, H. Pichler, S. Choi, A. S. Zibrov, M. Endres, M. Greiner, V. Vuletić, and M. D. Lukin, Probing many-body dynamics on a 51-atom quantum simulator, Nature (London) 551, 579 (2017).
  25. S. Ebadi, T. T. Wang, H. Levine, A. Keesling, G. Semeghini, A. Omran, D. Bluvstein, R. Samajdar, H. Pichler, W. W. Ho, S. Sachdev, M. Greiner, V. Vuletić, and M. D. Lukin, Nature (London) 595, 227 (2021).
  26. P. Scholl, M. Schuler, H. J. Williams, A. A. Eberharter, D. Barredo, K.-N. Schymik, V. Lienhard, L.-P. Henry, T. C. Lang, T. Lahaye, A. M. Läuchli, and A. Browaeys, Quantum phases of matter on a 256-atom programmable quantum simulator, Nature (London) 595, 233 (2021).
  27. D. Bluvstein, H. Levine, G. Semeghini, T. T. Wang, S. Ebadi, M. Kalinowski, A. Keesling, N. Maskara, H. Pichler, M. Greiner, V. Vuletić, and M. D. Lukin, A quantum processor based on coherent transport of entangled atom arrays, Nature (London) 604, 451 (2022).
  28. T. Graham, Y. Song, J. Scott, C. Poole, L. Phuttitarn, K. Jooya, P. Eichler, X. Jiang, A. Marra, B. Grinkemeyer, M. Kwon, M. Ebert, J. Cherek, M. T. Lichtman, M. Gillette, J. Gilbert, D. Bowman, T. Ballance, C. Campbell, E. D. Dahl et al. Multi-qubit entanglement and algorithms on a neutral-atom quantum computer, Nature (London) 604, 457 (2022).
  29. C. Chen, G. Bornet, M. Bintz, G. Emperauger, L. Leclerc, V. S. Liu, P. Scholl, D. Barredo, J. Hauschild, S. Chatterjee, M. Schuler, A. M. Laeuchli, M. P. Zaletel, T. Lahaye, N. Y. Yao, and A. Browaeys, Continuous symmetry breaking in a two-dimensional Rydberg array, Nature (London) 616, 691 (2023).
  30. T. E. Lee, H. Häffner, and M. C. Cross, Collective quantum jumps of Rydberg atoms, Phys. Rev. Lett. 108, 023602 (2012).
  31. See Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevResearch.6.L042046 for details on the identification of collective jumps, calculation of the resonance condition, discussions on the finite-range Rydberg interactions, bistability under the cluster model, the condition for stochastic resonances within a mean-field framework, as well as the impact of different unraveling schemes and finite-size effect.
  32. T. E. Lee, H. Häffner, and M. C. Cross, Antiferromagnetic phase transition in a nonequilibrium lattice of Rydberg atoms, Phys. Rev. A 84, 031402(R) (2011).
  33. C. Carr, R. Ritter, C. G. Wade, C. S. Adams, and K. J. Weatherill, Nonequilibrium phase transition in a dilute Rydberg ensemble, Phys. Rev. Lett. 111, 113901 (2013).
  34. N. Šibalić, C. G. Wade, C. S. Adams, K. J. Weatherill, and T. Pohl, Driven-dissipative many-body systems with mixed power-law interactions: Bistabilities and temperature-driven nonequilibrium phase transitions, Phys. Rev. A 94, 011401(R) (2016).
  35. N. R. de Melo, C. G. Wade, N. Šibalić, J. M. Kondo, C. S. Adams, and K. J. Weatherill, Intrinsic optical bistability in a strongly driven Rydberg ensemble, Phys. Rev. A 93, 063863 (2016).
  36. J. Dalibard, Y. Castin, and K. Mølmer, Wave-function approach to dissipative processes in quantum optics, Phys. Rev. Lett. 68, 580 (1992).
  37. R. Dum, P. Zoller, and H. Ritsch, Monte Carlo simulation of the atomic master equation for spontaneous emission, Phys. Rev. A 45, 4879 (1992).
  38. M. B. Plenio and P. L. Knight, The quantum-jump approach to dissipative dynamics in quantum optics, Rev. Mod. Phys. 70, 101 (1998).
  39. H. M. Wiseman and G. J. Milburn, Interpretation of quantum jump and diffusion processes illustrated on the Bloch sphere, Phys. Rev. A 47, 1652 (1993).
  40. N. Gisin and I. Percival, Wave-function approach to dissipative processes, Phys. Lett. A 167, 315 (1992).
  41. N. Gisin and I. Percival, The quantum-state diffusion model applied to open systems, J. Phys. A 25, 5677 (1992).
  42. P. Talkner, Statistics of entrance times, Physica A 325, 124 (2003).
  43. Z. Li, C. LI, G. Xu, W. Chen, Z. Xiong, H. Jing, J. S. Ho, and C.-W. Qiu, Synergetic positivity of loss and noise in nonlinear non-Hermitian resonators, Sci. Adv. 9, eadi0562 (2023).

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Phys. Rev. Research 6, L042046– Published 21 November, 2024
  • Received 4 February 2024
  • Accepted 27 August 2024
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

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