OSA's Digital Library

Chinese Optics Letters

Chinese Optics Letters

| PUBLISHED MONTHLY BY CHINESE LASER PRESS AND DISTRIBUTED BY OSA

  • Editor: Zhizhan Xu
  • Vol. 10, Iss. 8 — Aug. 1, 2012
  • pp: 082701–

New approach for normalization and photon-number distributions of photon-added (-subtracted) squeezed thermal states

Liyun Hu and Zhiming Zhang  »View Author Affiliations


Chinese Optics Letters, Vol. 10, Issue 8, pp. 082701- (2012)


View Full Text Article

Acrobat PDF (112 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations
  • Export Citation/Save Click for help

Abstract

Using the thermal field dynamics theory to convert the thermal state into a "pure" state in doubled Fock space, we find that the average value of efa†a under squeezed thermal state (STS) is just the generating function of Legendre polynomials. Based on this remarkable result, the normalization and photon-number distributions of m-photon added (or subtracted) STSs are conviently obtained as the Legendre polynomials. This new concise method can be expanded to the entangled case.

© 2012 Chinese Optics Letters

OCIS Codes
(270.0270) Quantum optics : Quantum optics
(270.5290) Quantum optics : Photon statistics

ToC Category:
Quantum Optics

Citation
Liyun Hu and Zhiming Zhang, "New approach for normalization and photon-number distributions of photon-added (-subtracted) squeezed thermal states," Chin. Opt. Lett. 10, 082701- (2012)
http://www.opticsinfobase.org/col/abstract.cfm?URI=col-10-8-082701


Sort:  Author  |  Year  |  Journal  |  Reset

References

  1. D. Bouwmeester, A. Ekert, and A. Zeilinger, The Physics of Quantum Information (Springer-Verlag, Berlin, 2000).
  2. F. Han and Y. Xia, Chin. Opt. Lett. 8, 524 (2010).
  3. J. Zhang and A. Chen, Chin. Opt. Lett. 9, 042701 (2011).
  4. G. Agarwal and K. Tara, Phys. Rev. A 43, 492 (1991).
  5. Z. Zhang and H. Fan, Phys. Lett. A 165, 14 (1992).
  6. A. Zavatta, S. Viciani, and M. Bellini, Science 306, 660 (2004).
  7. A. Zavatta, V. Parigi, and M. Bellini, Phys. Rev. A 75, 052106 (2007).
  8. A. Zavatta, S. Viciani, and M. Bellini, Phys. Rev. A 72, 023820 (2005).
  9. V. Parigi, A. Zavatta, M. Kim, and M. Bellini, Science 317, 1890 (2007).
  10. A. Ourjoumtsev, R. Tualle-Brouri, J. Laurat, and Ph. Grangier, Science 312, 83 (2006).
  11. A. Ourjoumtsev, A. Dantan, R. Tualle-Brouri, and Ph. Grangier, Phys. Rev. Lett. 98, 030502 (2007).
  12. P. Marek, H. Jeong, and M. Kim, Phys. Rev. A 78, 063811 (2008).
  13. S. Zhang and P. van Loock, Phys. Rev. A 82, 06216 (2010).
  14. L. Hu and H. Fan, J. Opt. Soc. Am. B 25, 1955 (2008).
  15. L. Hu and H. Fan, Chin. Phys. B 18, 4657 (2009).
  16. T. Opatrny, G. Kurizki, and D.-G. Welsch, Phys. Rev. A 61, 032302 (2000).
  17. S. Olivares and M. Paris, J. Opt. B: Quantum Semiclassical Opt. 7, S392 (2005).
  18. A. Kitagawa, M. Takeoka, M. Sasaki, and A. Chefles, Phys. Rev. A 73, 042310 (2006).
  19. Y. Yang and F. Li, J. Opt. Soc. Am. B 26, 830 (2009).
  20. A. Biswas and G. Agarwal, Phys. Rev. A 75, 032104 (2007).
  21. S. Lee and H. Nha, Phys. Rev. A 82, 053812 (2010).
  22. H. Fan and N. Jiang, Chin. Phys. Lett. 27, 044206 (2010).
  23. Y. Takahashi and H. Umezawa, Collective Phenomena 2, 55 (1975).
  24. Memorial Issue for H. Umezawa, Int. J. Mod. Phys. B 10, 1695 (1996).
  25. H. Umezawa, Advanced Field Theory-Micro; Macro; and Thermal Physics (AIP, 1993).
  26. L. Hu and H. Fan, Chin. Phys. Lett. 26, 090307 (2009).
  27. R. Puri, Mathematical Methods of Quantum Optics (Springer-Verlag, Berlin, 2001).
  28. G. Arfken and H. Weber, Mathematical Methods for Physicists (Elsevier Academic Press, 2005).
  29. H. Fan, Representation and Transformation Theory in Quantum Mechanics-Progress of Dirac's symbolic method (Shanghai Scientific and Technical Press, Shanghai, 1997).
  30. L. Hu and Z. Zhang, [quant-ph] arXiv: 1110.6587.
  31. L. Hu and H. Fan, Mod. Phys. Lett. A 24, 2263 (2009).
  32. L. Hu, X. Xu, Z. Wang, and X. Xu, Phys. Rev. A 82, 043842 (2010).

Cited By

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited