Table of Contents
ISRN Optics
Volume 2013 (2013), Article ID 271951, 9 pages
http://dx.doi.org/10.1155/2013/271951
Research Article

A Method for the Measurement of Photons Number and Squeezing Parameter in a Quantum Cavity

Department of Physics, University of Zanjan, P.O. Box 45196-313, Zanjan, Iran

Received 20 September 2013; Accepted 7 November 2013

Academic Editors: Y. S. Kivshar, X. Shu, and Y. Tsuji

Copyright © 2013 Ghasem Naeimi et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. E. P. Wigner, “On the quantum correction for thermodynamic equilibrium,” Physical Review, vol. 40, no. 5, pp. 749–759, 1932. View at Publisher · View at Google Scholar
  2. A. G. Baker Jr., “Formulation of quantum mechanics based on the quasi-probability distribution induced on phase space,” Physical Review, vol. 109, no. 6, pp. 2198–2206, 1958. View at Publisher · View at Google Scholar
  3. K. C. Zachos, B. D. Fairlie, and L. T. Curtright, Quantum Mechanics in Phase Space, World Scientific, Singapore, 2005.
  4. R. J. Glauber, “The quantum theory of optical coherence,” Physical Review, vol. 130, no. 6, pp. 2529–2539, 1963. View at Publisher · View at Google Scholar
  5. R. J. Glauber, “Coherent and incoherent states of the radiation field,” Physical Review, vol. 131, no. 6, pp. 2766–2788, 1963. View at Publisher · View at Google Scholar
  6. M. O. Scully and M. S. Zubairy, Quantum Optics, Cambridge University Press, Cambridge, UK, 1997.
  7. P. Deuar and P. D. Drummond, “First-principles quantum dynamics in interacting Bose gases. I. The positive P representation,” Journal of Physics A, vol. 39, no. 5, article 1163, 2006. View at Publisher · View at Google Scholar
  8. P. D. Drummond, P. Deuar, and K. V. Kheruntsyan, “Canonical bose gas simulations with stochastic gauges,” Physical Review Letters, vol. 92, no. 4, Article ID 040405, 4 pages, 2004. View at Publisher · View at Google Scholar
  9. G. M. Benedict and A. Czirják, “Wigner functions, squeezing properties, and slow decoherence of a mesoscopic superposition of two-level atoms,” Physical Review A, vol. 60, no. 5, pp. 4034–4044, 1999. View at Publisher · View at Google Scholar
  10. P. Faldi, A. Czirják, B. Molnár, and G. M. Benedict, “Formation of schrödinger-cat states in the morse potential: wigner function picture,” Optics Express, vol. 10, no. 8, pp. 376–381, 2002. View at Publisher · View at Google Scholar
  11. P. Sadeghi, S. Khademi, and S. Nasiri, “Nonclassicality indicator for the real phase-space distribution functions,” Physical Review A, vol. 82, no. 1, Article ID 012102, 8 pages, 2010. View at Publisher · View at Google Scholar
  12. D. Leibfried, D. M. Meekhof, B. E. King, C. Monroe, W. M. Itano, and D. J. Wineland, “Experimental determination of the motional quantum state of a trapped atom,” Physical Review Letters, vol. 77, no. 21, pp. 4281–4285, 1996. View at Google Scholar · View at Scopus
  13. K. Banaszek and K. Wódkiewicz, “Direct probing of quantum phase space by photon counting,” Physical Review Letters, vol. 76, no. 23, pp. 4344–4347, 1996. View at Publisher · View at Google Scholar
  14. S. Wallentowitz and W. Vogel, “Unbalanced homodyning for quantum state measurements,” Physical Review A, vol. 53, no. 6, pp. 4528–4533, 1996. View at Google Scholar · View at Scopus
  15. C. Guerlin, J. Bernu, S. Deléglise et al., “Progressive field-state collapse and quantum non-demolition photon counting,” Nature, vol. 448, pp. 889–893, 2007. View at Publisher · View at Google Scholar · View at Scopus
  16. S. Deléglise, I. Dotsenko, C. Sayrin et al., “Reconstruction of non-classical cavity field states with snapshots of their decoherence,” Nature, vol. 455, no. 7212, pp. 510–514, 2008. View at Publisher · View at Google Scholar · View at Scopus
  17. P. Bertet, A. Auffeves, P. Maioli et al., “Direct measurement of the wigner function of a one-photon fock state in a cavity,” Physical Review Letters, vol. 89, no. 20, Article ID 200402, 4 pages, 2002. View at Publisher · View at Google Scholar
  18. L. G. Lutterbach and L. Davidovich, “Method for direct measurement of the wigner function in cavity QED and ion traps,” Physical Review Letters, vol. 78, no. 13, pp. 2547–2550, 1997. View at Google Scholar · View at Scopus
  19. L. G. Lutterbach and L. Davidovich, “Non-classical states of the electromagnetic field in cavity QED,” Optics Express, vol. 3, no. 4, pp. 147–153, 1998. View at Google Scholar · View at Scopus
  20. G. Nogues, A. Rauschenbeutel, S. Osnaghi et al., “Measurement of a negative value for the wigner function of radiation,” Physical Review A, vol. 62, no. 5, Article ID 054101, 4 pages, 2000. View at Publisher · View at Google Scholar
  21. K. E. Cahill and R. J. Glauber, “Density operators and quasiprobability distributions,” Physical Review, vol. 177, no. 5, pp. 1882–1902, 1969. View at Publisher · View at Google Scholar · View at Scopus
  22. M. G. Benedict and A. Czirjak, “Generalized parity and quasi-probability density functions,” Journal of Physics A, vol. 28, no. 16, article 4599, 1995. View at Publisher · View at Google Scholar
  23. C. Gerry and P. Knight, Introductory Quantum Optics, Cambridge University Press, Cambridge, UK, 2004.
  24. G. B. Arfken and H. J. Weber, Mathematical Methods for Physicists, Elseveir Academic Press, Burlington, Mass, USA, 2005.
  25. J. I. Cirac and P. Zoller, “Preparation of macroscopic superpositions in many-atom systems,” Physical Review A, vol. 50, no. 4, pp. R2799–R2802, 1994. View at Publisher · View at Google Scholar · View at Scopus
  26. R. E. Slusher, L. W. Hollberg, B. Yurke, J. C. Mertz, and J. F. Valley, “Observation of squeezed states generated by four-wave mixing in an optical cavity,” Physical Review Letters, vol. 55, no. 22, pp. 2409–2412, 1985. View at Publisher · View at Google Scholar
  27. L. Ulf, Measuring the Quantum State of Light, Cambridge University Press, Cambridge, UK, 1997.
  28. N. G. de Almeida, R. M. Serra, C. J. Villas-Bõas, and M. H. Y. Moussa, “Engineering squeezed states in high-Q cavities,” Physical Review A, vol. 69, no. 3, Article ID 035802, 4 pages, 2004. View at Publisher · View at Google Scholar