Abstract
By introducing a kind of new quantum state—Photon-added thermo invariant coherent state (PATCS), we discuss its nonclassicality in terms of the negativity of Wigner function (WF) after deriving its analytical expression. It is found that the Wigner function is related to Lagurre-Gaussian function. We then study the effect of decoherence (a thermal environment) on the PATCS according to its WF (also related to Lagurre-Gaussian function). It is shown that it is not possible for WF to present the negative region when the decay time \(\kappa t>\frac{1}{2}\ln \frac{2\bar{n}+2}{2\bar{n}+1}\) .
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
Zavatta, A., Viciani, S., Bellini, M.: Science 306, 660 (2004)
Zavatta, A., Viciani, S., Bellini, M.: Phys. Rev. A 72, 023820 (2005)
Parigi, V., Zavatta, A., Kim, M.S., Bellini, M.: Science 317, 1890 (2007)
Biswas, A., Agarwal, G.S.: Phys. Rev. A 75, 032104 (2007)
Hu, L.Y., Fan, H.Y.: Mod. Phys. Lett. A 24, 2263 (2009)
Hu, L.Y., Fan, H.Y.: J. Opt. Soc. Am. B 25, 2008 (1955)
Hu, L.Y., Fan, H.Y.: Chin. Phys. B 18, 4657 (2009)
Hu, L.Y., Fan, H.Y.: Phys. Scr. 79, 035004 (2009)
Marek, P., Jeong, H., Kim, M.S.: Phys. Rev. A 78, 063811 (2008)
Lee, S.Y., Park, J., Ji, S.W., Raymond, O.C.H., Lee, H.W.: J. Opt. Soc. Am. B 26, 1532 (2009)
Lee, J., Kim, J., Nha, H.: J. Opt. Soc. Am. B 26, 1363 (2009)
Yang, Y., Li, F.L.: J. Opt. Soc. Am. B 26, 830 (2009)
Ourjoumtsev, A., Tualle-Brouri, R., Grangier, P.: Phys. Rev. Lett. 96, 213601 (2006)
Ourjoumtsev, A., Dantan, A., Tualle-Brouri, R., Grangier, P.: Phys. Rev. Lett. 98, 030502 (2007)
Lvovsky, A.I., et al.: Phys. Rev. Lett. 87, 050402 (2001)
Zavatta, A., Viciani, S., Bellini, M.: Phys. Rev. A 70, 053821 (2004)
Angelo, M.D., Zavatta, A., Parigi, V., Bellini, M.: Phys. Rev. A 74, 052114 (2004)
Babichev, S.A., Appel, J., Lvovsky, A.I.: Phys. Rev. Lett. 92, 193601 (2004)
Nha, H., Carmichael, H.J.: Phys. Rev. Lett. 93, 020401 (2004)
Bartlett, S.D., Sanders, B.C.: Phys. Rev. A 65, 042304 (2002)
Agarwal, G.S., Wolf, E.: Phys. Rev. D 2, 2161 (1970)
Yuan, H.C., Li, H.M., Xu, Y.J., Fan, H. Y.: Int. J. Theor. Phys. (2009). doi:10.1007/s10773-009-0134-7
B, Li.S., Zou, X.B., Guo, G.C.: Phys. Rev. A 75, 045801 (2007)
Xu, X.F., Zhu, S.Q.: Chin. Phys. Lett. 25, 2762 (2008)
Fan, H.Y., Lu, H.L., Fan, Y.: Ann. Phys. 321, 480 (2006)
Wünsche, A.: J. Opt. B: Quant. Semiclass. Opt. 1, R11 (1999)
Hu, L.Y., Fan, H.Y.: Chin. Phys. B 18, 0902 (2009)
Fan, H.Y., Hu, L.Y.: Chin. Phys. B 18, 1061 (2009)
Zhang, Z.M.: Chin. Phys. Lett. 21, 5 (2004)
Fan, H.Y., Liu, S.G.: Commun. Theor. Phys. 47, 427 (2007)
Xu, X.F., Fan, H.Y.: Mod. Phys. Lett. A 21, 911 (2006)
Wigner, E.: Phys. Rev. 40, 749 (1932)
Schleich, W.P.: Quantum Optics in Phase Space. Wiley-VCH, Berlin (2001)
Fan, H.Y.: Representation and Transformation Theory in Quantum Mechanics—Progress of Dirac’s Symbolic Method. Shanhhai Scientific and Technical Press, Shanghai (1997), p. 152 (in Chinese)
Walls, D.F., Milburn, G.J.: Quantum Optics. Springer, Berlin (1994)
Hu, L.Y., Fan, H.Y.: Int. J. Theor. Phys. (2009). doi:10.1007/s10773-009-0144-5
Fan, H.Y., Hu, L.Y.: Mod. Phys. Lett. B 22, 2435 (2008)
Hu, L.Y., Fan, H.Y.: Opt. Commun. 282, 4379 (2009)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Hu, P., He, J. Nonclassicality and Decoherence of Photon-added Thermo-invariant Coherent State. Int J Theor Phys 49, 458–467 (2010). https://doi.org/10.1007/s10773-009-0224-6
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10773-009-0224-6