Generation of Ising interaction and cluster states in a one-dimensional coupled resonator waveguide

Quantum Optics and Quantum Information


We propose a scheme for realizing the Ising spin-spin interaction and atomic cluster states utilizing the trapped two-level atoms inside a one-dimensional coupled resonator waveguide. In the strong driving and large detuning conditions, an effective Ising spin-spin interaction can be generated through suitably tuning the parameters. Then atomic cluster states are produced by using this Ising interaction. This scheme need not initially prepare the superposition states of atoms, and is insensitive to cavity decay.


03.67.Mn Entanglement measures, witnesses, and other characterizations 42.50.Pq Cavity quantum electrodynamics; micromasers 75.10.Jm Quantized spin models 


  1. O. Morsch, M. Oberthaler, Rev. Mod. Phys. 78, 179 (2006) Google Scholar
  2. D. Jaksch, P. Zoller, Ann. Phys. (N.Y.) 315, 52 (2005) Google Scholar
  3. M.J. Hartmann, F.G.S.L. Brandao, M.B. Plenio, Nature Phys. 2, 849 (2006) Google Scholar
  4. A.D. Greentree, C. Tanhan, J.H. Cole, L.C.L. Hollenberg, Nature Phys. 2, 856 (2006) Google Scholar
  5. M.J. Hartmann, F.G.S.L. Brandao, M.B. Plenio, Phys. Rev. Lett. 99, 160501 (2007) Google Scholar
  6. M.J. Hartmann, M.B. Plenio, Phys. Rev. Lett. 99, 103601 (2007) Google Scholar
  7. A.C. Ji, X.C. Xie, W.M. Liu, Phys. Rev. Lett. 99, 183602 (2007) Google Scholar
  8. D.G. Angelakis, M.F. Santos, S. Bose, Phys. Rev. A 76, R031805 (2007) Google Scholar
  9. D.K. Armani, T.J. Kippenberg, S.M. Spillane, K.J. Vahala, Nature 421, 925 (2003) Google Scholar
  10. A. Badolato, K. Hennessy, M. Atature, J. Dreiser, E. Hu, P.M. Petroff, A. Imamoglu, Science 308, 1158 (2005) Google Scholar
  11. A. Wallraff, D.I. Schuster, L.F.A. Blais, R.S. Huang, J. Majer, S. Kumar, S.M. Girvin, R.J. Schoelkopf, Nature 431, 102 (2004) Google Scholar
  12. P. Zoller et al., Eur. Phys. J. D 36, 203 (2005) Google Scholar
  13. H.J. Briegel, R. Raussendorf, Phys. Rev. Lett. 86, 910 (2001) Google Scholar
  14. M. Hein, W. Dur, J. Eisert, R. Raussendorf, M.V.D. Nest, H.J. Briegel, eprint arXiv:quant-ph/0602096 Google Scholar
  15. P. Walther, M. Aspelmeyer, K.J. Resch, A. Zeilinger, Phys. Rev. Lett. 95, 020403 (2005a) Google Scholar
  16. R. Raussendorf, H.J. Briegel, Phys. Rev. Lett. 86, 5188 (2001) Google Scholar
  17. P. Walther, K.J. Resch, T. Rudolph, E. Schenck1, H. Weinfurter, V. Vedral, M. Aspelmeyer, A. Zeilinger, Nature 434, 169 (2005b) Google Scholar
  18. H. Mabuchi, A.C. Doherty, Science 298, 1372 (2002) Google Scholar
  19. J.M. Raimond, M. Brune, S. Haroche, Rev. Mod. Phys. 73, 565 (2001) Google Scholar
  20. H.J. Kimble, Phys. Scr. T 76, 127 (1998) Google Scholar
  21. E. Solano, G.S. Agarwal, H. Walther, Phys. Rev. Lett. 90, 027903 (2003) Google Scholar
  22. D.F.V. James, Fortschr. Phys. 48, 823 (2000) Google Scholar
  23. A. Vukics, H. Ritsch, Eur. Phys. J. D 44, 585 (2007) Google Scholar
  24. R. Schack, T.A. Brun, Comput. Phys. Commun. 102, 210 (1997) Google Scholar

Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  1. 1.Department of Physics, Peking UniversityState Key Laboratory for Mesoscopic PhysicsBeijingP.R. China
  2. 2.Key Laboratory of Quantum Information, University of Science and Technology of ChinaHefeiP.R. China

Personalised recommendations