We investigate the controllable single-photon transport via a microresonator coupled to two meandering waveguides at multiple coupling points. Using the analytical expressions of the single-photon scattering amplitudes obtained by the real-space Hamiltonian, the transport characteristics in the waveguide system are demonstrated. These results show that the perfectly nonreciprocal transmission in a single waveguide and the directional routing approaching the unity probability in two waveguides can be achieved by adjusting the resonator-waveguide coupling related to the phase parameter, arising from the phase-dependent interference effect of the multiple point couplings of the resonator. Our proposal may have wide potentials in quantum information processing.
References
[1]
Ladd, T.D., Jelezko, F., Laflamme, R., Nakamura, Y., Monroe, C. and O’Brien, J.L. (2010) Quantum Computers. Nature, 464, 45-53. https://doi.org/10.1038/nature08812
[2]
Gisin, N. and Thew, R. (2007) Quantum Communication. NaturePhotonics, 1, 165-171. https://doi.org/10.1038/nphoton.2007.22
[3]
Kimble, H.J. (2008) The Quantum Internet. Nature, 453, 1023-1030. https://doi.org/10.1038/nature07127
[4]
Goban, A., Hung, C., Yu, S., Hood, J.D., Muniz, J.A., Lee, J.H., et al. (2014) Atom-Light Interactions in Photonic Crystals. NatureCommunications, 5, Article No. 3808. https://doi.org/10.1038/ncomms4808
[5]
Roy, D., Wilson, C.M. and Firstenberg, O. (2017) Colloquium: Strongly Interacting Photons in One-Dimensional Continuum. ReviewsofModernPhysics, 89, Article ID: 021001. https://doi.org/10.1103/revmodphys.89.021001
[6]
Wang, D., Zhou, H., Guo, M., Zhang, J., Evers, J. and Zhu, S. (2013) Optical Diode Made from a Moving Photonic Crystal. PhysicalReviewLetters, 110, Article ID: 093901. https://doi.org/10.1103/physrevlett.110.093901
[7]
Wu, J., Artoni, M. and La Rocca, G.C. (2014) Non-Hermitian Degeneracies and Unidirectional Reflectionless Atomic Lattices. PhysicalReviewLetters, 113, Article ID: 123004. https://doi.org/10.1103/physrevlett.113.123004
[8]
Zheng, A., Zhang, G., Chen, H., Mei, T. and Liu, J. (2017) Nonreciprocal Light Propagation in Coupled Microcavities System Beyond Weak-Excitation Approximation. ScientificReports, 7, Article No. 14001. https://doi.org/10.1038/s41598-017-14397-7
[9]
Xia, X., Zhang, X., Xu, J., Li, H. and Yang, Y. (2024) Optical Nonreciprocity in an Asymmetric Cavity Containing Two Asymmetrically Arranged Atoms. PhysicalReviewA, 109, Article ID: 053709. https://doi.org/10.1103/physreva.109.053709
[10]
Hafezi, M. and Rabl, P. (2012) Optomechanically Induced Non-Reciprocity in Microring Resonators. OpticsExpress, 20, 7672-7684. https://doi.org/10.1364/oe.20.007672
[11]
Dong, Y., Huang, X. and Zhang, G. (2026) Nonreciprocity of Intense Light Field and Weak Quantum Signal in Optomechanical Systems with Three-Mode Parametric Interactions. PhysicalReviewA, 113, Article ID: 013513. https://doi.org/10.1103/8kg8-brsx
Yan, W., Ni, W., Zhang, J., Zhang, F. and Fan, H. (2018) Tunable Single-Photon Diode by Chiral Quantum Physics. PhysicalReviewA, 98, Article ID: 043852. https://doi.org/10.1103/physreva.98.043852
[14]
Xia, K., Nori, F. and Xiao, M. (2018) Cavity-Free Optical Isolators and Circulators Using a Chiral Cross-Kerr Nonlinearity. PhysicalReviewLetters, 121, Article ID: 203602. https://doi.org/10.1103/physrevlett.121.203602
[15]
Poudyal, B. and Mirza, I.M. (2020) Collective Photon Routing Improvement in a Dissipative Quantum Emitter Chain Strongly Coupled to a Chiral Waveguide QED Ladder. PhysicalReviewResearch, 2, Article ID: 043048. https://doi.org/10.1103/physrevresearch.2.043048
[16]
Ko, M., Kim, N., Choe, H., Ri, S., Ryom, J., Ri, C., et al. (2019) Feasible Surface Plasmon Routing Based on the Self-Assembled InGaAs/GaAs Semiconductor Quantum Dot Located between Two Silver Metallic Waveguides. Plasmonics, 15, 271-277. https://doi.org/10.1007/s11468-019-01022-8
[17]
Huang, J., Wang, J., Li, Y., Wang, Y. and Huang, Y. (2019) Tunable Quantum Routing via Asymmetric Intercavity Couplings. QuantumInformationProcessing, 18, Article No. 59. https://doi.org/10.1007/s11128-019-2176-y
[18]
Huang, J., Feng, X., Xu, Z., Li, Y. and Wu, K. (2023) Tunable Bandpass Routers of Single Photons with Three-Level Emitters. QuantumInformationProcessing, 22, Article No. 285. https://doi.org/10.1007/s11128-023-04039-5
[19]
Wu, J., Dong, J., Xu, Y., Zou, B. and Zhang, Y. (2022) Multichannel Adjustable Single-Photon Router Based on Large Detuning. PhysicalReviewApplied, 18, Article ID: 054007. https://doi.org/10.1103/physrevapplied.18.054007
[20]
Ryom, J., Ri, G., Kim, N., Ko, M., Choe, I. and Ri, S. (2023) Entanglement Generated in Quantum Dot-Cavity Coupled System Mediated by Plasmonic Waveguide. JournalofLowTemperaturePhysics, 213, 80-91. https://doi.org/10.1007/s10909-023-02982-2
[21]
Saha, U., Siverns, J.D., Hannegan, J., Prabhu, M., Quraishi, Q., Englund, D., et al. (2023) Routing Single Photons from a Trapped Ion Using a Photonic Integrated Circuit. PhysicalReviewApplied, 19, Article ID: 034001. https://doi.org/10.1103/physrevapplied.19.034001
[22]
Chen, W., Zhang, J., Peng, B., Özdemir, Ş.K., Fan, X. and Yang, L. (2018) Parity-time-symmetric Whispering-Gallery Mode Nanoparticle Sensor [Invited]. PhotonicsResearch, 6, A23. https://doi.org/10.1364/prj.6.000a23
[23]
Aoki, T., Parkins, A.S., Alton, D.J., Regal, C.A., Dayan, B., Ostby, E., et al. (2009) Efficient Routing of Single Photons by One Atom and a Microtoroidal Cavity. PhysicalReviewLetters, 102, Article ID: 083601. https://doi.org/10.1103/physrevlett.102.083601
[24]
O’Shea, D., Junge, C., Volz, J. and Rauschenbeutel, A. (2013) Fiber-Optical Switch Controlled by a Single Atom. PhysicalReviewLetters, 111, Article ID: 193601. https://doi.org/10.1103/physrevlett.111.193601
[25]
Cao, C., Duan, Y., Chen, X., Zhang, R., Wang, T. and Wang, C. (2017) Implementation of Single-Photon Quantum Routing and Decoupling Using a Nitrogen-Vacancy Center and a Whispering-Gallery-Mode Resonator-Waveguide System. OpticsExpress, 25, 16931-16946. https://doi.org/10.1364/oe.25.016931
[26]
Bi, L., Hu, J., Jiang, P., Kim, D.H., Dionne, G.F., Kimerling, L.C., et al. (2011) On-chip Optical Isolation in Monolithically Integrated Non-Reciprocal Optical Resonators. NaturePhotonics, 5, 758-762. https://doi.org/10.1038/nphoton.2011.270
[27]
Lenferink, E.J., Wei, G. and Stern, N.P. (2014) Coherent Optical Non-Reciprocity in Axisymmetric Resonators. OpticsExpress, 22, 16099-16111. https://doi.org/10.1364/oe.22.016099
[28]
Liu, W., Lin, Y., Li, J. and Wang, X. (2022) Nonreciprocal Waveguide-QED for Spinning Cavities with Multiple Coupling Points. FrontiersinPhysics, 10, Article 894115. https://doi.org/10.3389/fphy.2022.894115
[29]
Shen, J. and Fan, S. (2009) Theory of Single-Photon Transport in a Single-Mode Waveguide. II. Coupling to a Whispering-Gallery Resonator Containing a Two-Level Atom. PhysicalReviewA, 79, Article ID: 023838. https://doi.org/10.1103/physreva.79.023838
[30]
Aoki, T., Dayan, B., Wilcut, E., Bowen, W.P., Parkins, A.S., Kippenberg, T.J., et al. (2006) Observation of Strong Coupling between One Atom and a Monolithic Microresonator. Nature, 443, 671-674. https://doi.org/10.1038/nature05147
[31]
Srinivasan, K. and Painter, O. (2007) Mode Coupling and Cavity-Quantum-Dot Interactions in a Fiber-Coupled Microdisk Cavity. PhysicalReviewA, 75, Article ID: 023814. https://doi.org/10.1103/physreva.75.023814