Abstract
We investigate single-photon scattering grating in a one-dimensional waveguide coupled to a cavity embedded with a driven Λ-type three-level atom. The single-photon reflection amplitude and transmission amplitude in the waveguide are obtained via a real-space approach, respectively. By spatially modulating a classical control field to drive the three-level emitter, alternating regions of high reflection and absorption as well as high transmission and absorption of the single photon are generated in both directions of the waveguide, which acts as a kind of scattering grating. The proposed scheme may have the potential for the design of chip-integrated grating.
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Ling, H.Y., Li, Y.Q., Xiao, M.: Phys. Rev. A 57, 1338 (1998)
Wen, J., Du, S., Chen, H., Xiao, M.: Appl. Phys. Lett. 98, 081108 (2011)
Mitsunaga, M., Imoto, N.: Phys. Rev. A 59, 4773 (1999)
André, A., Lukin, M.D.: Phys. Rev. Lett. 89, 143602 (2002)
Bajcsy, M., Zibrov, A.S., Lukin, M.D.: Nature (London) 426, 638 (2003)
Brown, A.W., Xiao, M.: Opt. Lett. 30, 699 (2005)
Gao, J.W., Wu, J.H., Ba, N., Cui, C.L., Tian, X.X.: Phys. Rev. A 81, 013804 (2010)
Li, J.H., Yu, R.: Opt. Express 19, 20991 (2011)
Akimov, A.V., Mukherjee, A., Yu, C.L., Chang, D.E., Zibrov, A.S., Hemmer, P.R., Park, H., Lukin, M.D.: Nature (London) 450, 402 (2007)
Chang, D.E., Sørensen, A.S., Demler, E.A., Lukin, M.D.: Nat. Phys. 3, 807 (2007)
Chang, D.E., Sørensen, A.S., Hemmer, P.R., Lukin, M.D.: Phys. Rev. B 76, 035420 (2007)
Wallraff, A., Schuster, D.I., Blais, A., Frunzio, L., Huang, R.S., Majer, J., Kumar, S., Girvin, S.M., Schoelkopf, R.J.: Nature (London) 431, 162 (2004)
Yoshie, T., Scherer, A., Hendrickson, J., Khitrova, G., Gibbs, H.M., Rupper, G., Ell, C., Shchekin, O.B., Deppe, D.G.: Nature (London) 432, 200 (2004)
Birnbaum, K.M., Boca, A., Miller, R., Boozer, A.D., Northup, T.E., Kimble, H.J.: Nature (London) 436, 87 (2005)
Wei, L.F., Liu, Y.X., Sun, C.P., Nori, F.: Phys. Rev. Lett. 97, 237201 (2006)
Zhou, L., Gong, Z.R., Li, Y., Sun, C.P., Nori, F.: Phys. Rev. Lett 101, 100501 (2008)
Shen, J.T., Fan, S.: Phys. Rev. Lett. 95, 213001 (2005)
Shen, J.T., Povinelli, M.L., Sandhu, S., Fan, S.: Phys. Rev. B 75, 035320 (2007)
Hughes, S., Kamada, H.: Phys. Rev. B 70, 195313 (2004)
Shen, J.T., Fan, S.: Phys. Rev. A 79, 023837 (2009)
Shen, J.T., Fan, S.: Phys. Rev. A 79, 023838 (2009)
Zang, X., Jiang, C.J.: Phys. B 43, 065505 (2010)
Cheng, M.T., Luo, Y.Q., Song, Y.Y., Zhao, G.X.: Opt. Commun. 283, 3721 (2010)
Yan, C.H., Jia, W.Z., Wei, L.F.: Phys. Rev. A 89, 033819 (2014)
Lang, J.H.: Chin. Phys. Lett. 28, 104210 (2011)
Gu, L.M.: Chin. Phys. Lett. 29, 104206 (2012)
Cheng, M.T., Song, Y.Y., Yu, L.B.: Chin. Phys. Lett. 29, 054211 (2012)
Kim, N.C., Ko, M.C.: Plasmonics 10, 605 (2015)
Waks, E., Vuckovic, J.: Phys. Rev. Lett. 96, 153601 (2006)
Vahala, K.J.: Nature (London) 424, 839 (2003)
Harris, S.E.: Phys. Today 50(7), 36 (1997)
Acknowledgments
This work was supported by the National Natural Science Foundation of China (Grant Nos. 11247032, 11365011, and 11447118), by the Natural Science Foundation of Jiangxi (Grant Nos. 20151BAB202012 and 20151BAB212004), and by the Scientific Research Foundation of the Jiangxi Provincial Education Department (Grant No. GJJ14437), and by the Scientific Research Foundation of Jiangxi University of Science and Technology (Grant No. NSFJ2014-K18).
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Huang, JS., Li, YL., Xu, ZH. et al. Single-Photon Scattering Grating in a Waveguide-Cavity System. Int J Theor Phys 55, 3934–3942 (2016). https://doi.org/10.1007/s10773-016-3023-x
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DOI: https://doi.org/10.1007/s10773-016-3023-x