Abstract
We investigate the single-photon transport properties in a hybrid waveguide quantum electrodynamics system, in which a one-dimensional waveguide is simultaneously coupled to a cavity and a driven Λ-type three-level atom. The cavity and the atom are also coupled to each other. We show that when the waveguide is coupled to the cavity and the atom at the same point, double electromagnetically induced transparency (EIT) can be observed from the system. The physical mechanism of the double EIT effect has been given by setting up the eigenstate structure for the whole system. When the waveguide is coupled to the cavity and the atom at different points, we demonstrate that the controllable nonreciprocal scattering effect can be achieved by modulating the non-zero cavity-emitter separation and the phase associated with the cavity-emitter coupling strength. These results have potential applications in realization of photonic coherent control.
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References
Roy, D., Wilson, C.M., Firstenberg, O.: Colloquium: Strongly interacting photons in one-dimensional continuum. Rev. Mod. Phys. 89, 021001 (2017)
Shen, J. T., Fan, S.H.: Coherent photon transport from spontaneous emission in one-dimensional waveguides. Opt. Lett. 30, 2001 (2005)
Zhou, L., Gong, Z.R., Liu, Y.X., Sun, C.P., Nori, F.: Controllable scattering of a single photon inside a one-dimensional resonator waveguide. Phys. Rev. Lett. 101, 100501 (2008)
Jia, W.Z., Wang, Z.D.: Single-photon transport in a one-dimensional waveguide coupling to a hybrid atom-optomechanical system. Phys. Rev. A 88, 063821 (2013)
Qiao, L.: Single-photon transport through a waveguide coupling to a quadratic optomechanical system. Phys. Rev. A 96, 013860 (2017)
Neumeier, L., Leib, M., Hartmann, M.J.: Single-photon transistor in circuit quantum electrodynamics. Phys. Rev. lett. 111, 063601 (2013)
Huang, J.F., Shi, T., Sun, C.P., Nori, F.: Controlling single-photon transport in waveguides with finite cross section. Phys. Rev. A 88, 013836 (2013)
Qin, W., Nori, F.: Controllable single-photon transport between remote coupled-cavity arrays. Phys. Rev. A 93, 032337 (2016)
Cheng, M.T., Xu, J.P., Agarwal, G.S.: Waveguide transport mediated by strong coupling with atoms. Phys. Rev. A 95, 053807 (2017)
Konyk, W., Gea-Banacloche, J.: One-and two-photon scattering by two atoms in a waveguide. Phys. Rev. A 96, 063826 (2017)
Debsuvra, M., Girish, S.A.: Transparency in a chain of disparate quantum emitters strongly coupled to a waveguide. Phys. Rev. A 101, 063814 (2020)
Liao, Z.Y., Nha, H., Zubairy, M.S.: Dynamical theory of single-photon transport in a one-dimensional waveguide coupled to identical and nonidentical emitters. Phys. Rev. A 94, 053842 (2016)
Liao, Z.Y., Zeng, X.D., Nha, H., Zubairy, M.S.: Photon transport in a one-dimensional nanophotonic waveguide QED system. Phys. Scr. 91, 063004 (2016)
Akimov, A.V., Mukherjee, A., Yu, C.L., Chang, D.E., Zibrov, A.S., Hemmer, P.R., Park, H., Lukin, M.D.: Generation of single optical plasmons in metallic nanowires coupled to quantum dots. Nature (London) 450, 402 (2007)
Dayan, B., Parkins, A.S., Aoki, T., Ostby, E.P., Vahala, K.J., Kimble, H.J.: A photon turnstile dynamically regulated by one atom. Science 319, 5866 (2008)
Wei, H., Ratchford, D., Li, X., Xu, H., Shih, C.K.: Propagating surface plasmon induced photon emission from quantum dots. Nano Lett. 9, 4168 (2009)
Huck, A., Kumar, S., Shakoor, A., Andersen, U.L.: Controlled coupling of a single nitrogen-vacancy center to a silver nanowire. Phys. Rev. Lett. 106, 096801 (2011)
Babinec, T.M., Hausmann, B.J.M., Khan, M., Zhang, Y., Maze, J.R., Hemmer, P.R., Loncar, M.A.: Diamond nanowire single-photon source. Nat. Nanotechnol. 5, 195 (2010)
Claudon, J., Bleuse, J., Malik, N.S., Bazin, M., Jaffrennou, P., Gregersen, N., Sauvan, C., Lalanne, P., Gérard, J.M.: A highly efficient single-photon source based on a quantum dot in a photonic nanowire. Nat. Photon. 4, 174 (2010)
Hoi, I.C., Wilson, C.M., Johansson, G., Palomaki, T., Peropadre, B., Delsing, P.: Demonstration of a single-photon router in the microwave regime. Phys. Rev. Lett. 107, 073601 (2011)
Javadi, A., Söllner, I., Arcari, M., Lindskov Hansen, S., Midolo, L., Mahmoodian, S., Kiršanské, G., Pregnolato, T., Lee, E.H., Song, J.D., Stobbe, S., Lodahl, P.: Single-photon non-linear optics with a quantum dot in a waveguide. Nat. Commun. 6, 8655 (2015)
Wilson, C. M., Johansson, G., Pourkabirian, A., Simoen, M., Johansson, J. R., Duty, T., Nori, F., Delsing, P.: Observation of the dynamical Casimir effect in a superconducting circuit. Nature 479, 376 (2011)
Zheng, H., Gauthier, D.J., Baranger, H.U.: Many-body bound-state effects in coherent and Fock-state scattering from a two-level system. Phys. Rev. A 82, 063816 (2010)
Shi, T., Wu, Y.H., González-Tudela, A., Cirac, J.I.: Bound states in boson impurity models. Phys. Rev. X 6, 021027 (2016)
Calajó, G., Ciccarello, F., Chang, D.E., Rabl, P.: Atom-field dressed states in slow-light waveguide QED. Phys. Rev. A 93, 033833 (2016)
Sánchez-Burillo, E., Zueco, D., Martín-Moreno, L., García-Ripoll, J.J.: Dynamical signatures of bound states in waveguide QED. Phys. Rev. A 96, 023831 (2017)
Fong, P.T., Law, C.K.: Bound state in the continuum by spatially separated ensembles of atoms in a coupled-cavity array. Phys. Rev. A 96, 023842 (2017)
Calajó, G., Fang, Y.L.L., Baranger, H.U., Ciccarello, F.: Exciting a bound state in the continuum through multiphoton scattering plus delayed quantum feedback. Phys. Rev. Lett. 122, 073601 (2019)
Zheng, H.X., Baranger, H.U.: Persistent quantum beats and long-distance entanglement from waveguide-mediated interactions. Phys. Rev. lett. 110, 113601 (2013)
Gonzalez-Ballestero, C., González-Tudela, A., Garcia-Vidal, F.J., Moreno, E.: Chiral route to spontaneous entanglement generation. Phys. Rev. A 92, 155304 (2015)
Mok, W.K., You, J.B., Kwek, L.C., Aghamalyan, D.: Microresonators enhancing long-distance dynamical entanglement generation in chiral quantum networks. Phys. Rev. A 101, 053861 (2020)
Yu, Y., Ma, F., Luo, X.Y., Jing, B., Sun, P.F., Fang, R.Z., Yang, C.W., Liu, H., Zheng, M.Y., Xie, X.P., Zhang, W.J., You, L.X., Wang, Z., Chen, T.Y., Zhang, Q., Bao, X.H., Pan, J.W.: Entanglement of two quan-17 tum memories via fibres over dozens of kilometres. Nature 578, 240 (2020)
Leent, T., Bock, M., Garthoff, R., Redeker, K., Zhang, W., Bauer, T., Rosenfeld, W., Becher, C., Weinfurter, H.: Long-distance distribution of emitter-photon entanglement at telecom wavelength. Phys. Rev. Lett. 124, 010510 (2020)
Souza, J.A., Villas, C.J.: Coherent control of quantum fluctuations using cavity electromagnetically induced transparency. Phys. Rev. Lett. 111, 113602 (2013)
Cheng, M.T., Ma, X.S., Zhang, J.Y., Wang, B.: Single photon transport in two waveguides chirally coupled by a quantum emitter. Opt. Exp. 24, 19988 (2016)
Cheng, M.T., Ma, X., Fan, J.W., Xu, J., Zhu, C.: Controllable single-photon nonreciprocal propagation between two waveguides chirally coupled to a quantum emitter. Opt. Lett. 42, 2914C7 (2017)
Xu, X.W., Chen, A.X., Li, Y., Liu, Y.: Single-photon nonreciprocal transport in one-dimensional coupled-resonator waveguides. Phys. Rev. A 95, 063808 (2017)
Du, L., Wang, Z.H., Li, Y.: Controllable optical response and tunable sensing based on self interference in waveguide QED systems. Opt. Exp. 29(3), 3038–3054 (2021)
Du, L., Cai, M.R., Wu, J.H., Wang, Z.H., Li, Y.: Single-photon nonreciprocal excitation transfer with non-Markovian retarded effects. Phy. Rev. A 103, 053701 (2021)
Lodahl, P., Mahmoodian, S., Stobbe, S., Rauschenbeutel, A., Schneeweiss, P., Volz, J., Pichler, H., Zoller, P.: Chiral quantum optics. Nature (London) 541, 473 (2017)
González-Ballestero, C., Moreno, E., Garcia-Vidal, F.J., Gonzalez-Tudela, A.: Nonreciprocal few-photon routing schemes based on chiral waveguide-Cemitter couplings. Phys. Rev. A 94, 063817 (2016)
Yan, C.H., Li, Y., Yuan, H., Wei, L.F.: Targeted photonic routers with chiral photon-atom interactions. Phys. Rev. A 97, 023821 (2018)
Yan, W.B., Ni, W.Y., Zhang, J., Zhang, F.Y., Fan, H.: Tunable single-photon diode by chiral quantum physics. Phys. Rev. A 98, 043852 (2018)
Wang, X., Shui, T., Li, L., Li, X., Wu, Z., Yang, W.X.: Tunable single-photon diode and circulator via chiral waveguide-Cemitter couplings. Laser Phys. Lett. 17, 065201 (2020)
Stannigel, K., Rabl, P., Zoller, P.: Driven-dissipative preparation of entangled states in cascaded quantumoptical networks. New J. Phys. 14, 063014 (2012)
Pichler, H., Ramos, T., Daley, A. J., Zoller, P.: Quantum optics of chiral spin networks. Phys. Rev. A 91, 042116 (2015)
Wang, X., Li, H.R.: Chiral quantum network with giant atoms. Quantum Sci. Technol. 11, 035007 (2022)
You, Y., Hu, Y., Lin, G., Qi, Y., Niu, Y., Gong, S.: Quantum nonreciprocity based on electromagnetically induced transparency in chiral quantum-optical systems. Phys. Rev. A 103, 063706 (2021)
Yang, D.C., Cheng, M.T., Ma, X.S., Xu, J., Zhu, C., Huang, X.S.: Phase-modulated single-photon router. Phys. Rev. A 98, 063809 (2018)
Wang, Z., Du, L., Li, Y., Liu, Y.X.: Phase-controlled single-photon nonreciprocal transmission in a one-dimensional waveguide. Phys. Rev. A 100, 053809 (2019)
Wang, X, Yang, W.X., Chen, A.X., Li, L., Shui, T., Li, X., Wu, Z.: Phase-modulated single-photon nonreciprocal transport and directional router in a waveguideCcavity Cemitter system beyond the chiral coupling. Quantum Sci. Technol. 7, 015025 (2022)
Shen, Y., Bradford, M., Shen, J.T.: Single-photon diode by exploiting the photon polarization in a waveguide. Phys. Rev. Lett. 107, 173902 (2011)
Tsoi, T.S., Law, C.K.: Single-photon scattering on Λ-type three-level atoms in a one-dimensional waveguide. Phys. Rev. A 80, 033823 (2009)
Witthaut, D., Sørensen, A.S.: Photon scattering by a three-level emitter in a one-dimensional waveguide. New. J. Phys. 12, 043052 (2010)
Yu, X.Y., Li, J.H.: Coherent manipulation of single photon propagation in a one-dimensional waveguide with multiple -type periodically arrayed atoms. J. Opt. Soc. Am. B 33, 165 (2016)
Du, L., Chen, Y.T., Li, Y.: Nonreciprocal frequency conversion with chiral-type atoms. Phys. Rev. Res. 3, 043226 (2021)
Souza, J. A., Villas, C.J.: Coherent control of quantum fluctuations using cavity electromagnetically induced transparency. Phys. Rev. Lett. 111, 113602 (2013)
Koch, J., Yu, T.M., Gambetta, J., Houck, A.A., Schuster, D.I., Majer, J., Blais, A., Devoret, M.H., Girvin, S.M., Schoelkopf, R.J.: Charge-insensitive qubit design derived from the Cooper pair box. Phys. Rev. A 76, 042319 (2007)
Majer, J., Chow, J.M., Gambetta, J.M., Koch, J., Johnson, B.R., Schreier, J.A., Frunzio, L., Schuster, D.I., Houck, A.A., Wallraff, A., Blais, A., Devoret, M.H., Girvin, S.M., Schoelkopf, R.J.: Coupling superconducting qubits via a cavity bus. Nature (London) 449, 443 (2007)
Peng, Z.H., Ding, J.H., Zhou, Y., Ying, L.L., Wang, Z., Zhou, L., Kuang, L.M., Liu, Y.X., Astafiev, O.V., Tsai, J.S.: Vacuum induced Autler-Townes splitting in a superconducting artificial atom. Phys. Rev. A 97, 063809 (2018)
Johnson, B.R., Reed, M.D., Houck, A.A., Schuster, D.I., Bishop, L.S., Ginossar, E., Gambetta, J.M., DiCarlo, L., Frunzio, L., Girvin, S.M., Schoelkopf, R.J.: Quantum nondemolition detection of single microwave photons in a circuit. Nat. Phys. 6, 663 (2010)
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Xue-Jian Sun developed the theory, performed the numerical simulations, and wrote the draft. All authors contributed to the theoretical discussions, simulated data analysis, and manuscript writing.
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Sun, X., Liu, W., Chen, H. et al. Single-photon Transport in a Waveguide-cavity-emitter System. Int J Theor Phys 61, 216 (2022). https://doi.org/10.1007/s10773-022-05174-y
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DOI: https://doi.org/10.1007/s10773-022-05174-y