Abstract.
In this paper, we examine the effects of the gravitational field on the dynamical evolution of the cavity-field entropy and the creation of the Schrödinger-cat state in the Jaynes-Cummings model. We consider a moving two-level atom interacting with a single mode quantized cavity-field in the presence of a classical homogeneous gravitational field. Based on an su(2) algebra, as the dynamical symmetry group of the model, we derive the reduced density operator of the cavity-field which includes the effects of the atomic motion and the gravitational field. Also, we obtain the exact solution and the approximate solution for the system-state vector, and examine the atomic dynamics. By considering the temporal evolution of the cavity-field entropy as well as the dynamics of the Q-function of the cavity-field we study the effects of the gravitational field on the generation of the Schrödinger-cat states of the cavity-field by using the Q-function, field entropy and approximate solution for the system-state vector. The results show that the gravitational field destroys the generation of the Schrödinger-cat state of the cavity-field.
Similar content being viewed by others
References
E. Schrödinger, Naturwissenschaft. 23, 807, 823, 844 (1935)
M. Hillerry, Phys. Rev. A 36, 3796 (1987); I. Földesi, P. Adam, Phys. Lett. A 173, 97 (1993); Y. Yia, G. Guo, Phys. Lett. A 136, 281 (1989); J. Janszky, P. Domokos, P. Adam, Phys. Rev. A 48, 2213 (1993)
B. Yurke, D. Stoler, Phys. Rev. Lett. 57, 13 (1986)
C.C. Gerry, Phys. Rev. A 59, 4095 (1999)
M. Genovese, C. Novero, Phys. Rev. A 61, 032102 (2000)
L. Tian, Phys. Rev. B 72, 195411 (2005)
Y.X. Liu, L.F.Wei, F. Nori, Phys. Rev. A 71, 063820 (2005)
T. Ling, G.C. Guo, J. Opt. Soc. Am. B 14, 1537 (1997); G.S. Agarwal, R.R. Puri, R.P. Singh, Phys. Rev. A 56, 2249 (1997); C.C. Gerry, R. Grobe, Phys. Rev. A 56, 2390 (1997)
R.L. de Matos Filho, W. Vogel, Phys. Rev. Lett. 76, 608 (1996). C.C. Gerry, Phys. Rev. A 55, 2478 (1997); J.F. Poyatos, J.I. Cirac, R. Blatt, P. Zoller, Phys. Rev. A 54, 1532 (1996); S.B. Zheng, Phys. Lett. A 245, 11 (1998); S.B. Zheng, Phys. Rev. A 58, 761 (1998)
M. Brune, E. Hagley, J. Dreyer, X. Maitre, A. Maali, C. Wunderlich, J.M. Raimond, S. Haroche, Phys. Rev. Lett. 77, 4887 (1996)
A. Ourjoumtsev, R. Tualle-Brouri, J. Laurat, P. Grangier, Science 312, 83 (2006)
V. Buzek, H. Moya-Cessa, P.L. Knight, Phys. Rev. A 45, 8190 (1992); V. Buzek, B. Hladky, J. Mod. Optics 40, 1309 (1993); M.F. Fang, G.H. Zhou, Phys. Lett. A 184, 397 (1994); M.F. Fang, J. Mod. Optics 41, 319 (1994)
W.H. Zurek, Phys. Today 44, 10 (1991); J. Gea-Banacloche, Phys. Rev. Lett. 65, 3385 (1990); V. Buzek, A. Vidiella-Barranco, P.L. Knight, Opt. Commun. 82, 531 (1992); V. Buzek, A. Vidiella-Barranco, P.L. Knight, Phys. Rev. A 45, 6570 (1992); P.L. Knight, B.W. Shore, Phys. Rev. A 48, 642 (1993); V. Buzek, H. Moya-Cessa, P.L. Knight, Phys. Rev. A 45, 8910 (1992); G. Rempe, H. Walther, Phys. Rev. A 44, 3331 (1991)
S.J.D. Phoenix, P.L. Knight, Ann. Phys. (N.Y.) 186, 381 (1988); S.J.D. Phoenix, P.L. Knight, Phys. Rev. A 44, 6023 (1991); S.J.D. Phoenix, P.L. Knight, J. Opt. Soc. Am. B 7, 116 (1990)
V. Buzek, B. Hladky, J. Mod. Optics 40, 1309 (1993)
G.M. Meyer, M.O. Scully, H. Walther, Phys. Rev. A 56, 4142 (1997); Mao-Fa Fang, Physica A 259, 193 (1998); Xiang-Ping Liaoa, Mao-Fa Fang, Physica A 332, 176 (2004); A. Joshi, Min Xiao, Opt. Commun. 232, 273 (2004)
R.R. Schicher, Opt. Commun. 70, 97 (1989); A. Joshi, S.V. Lawande, Phys. Rev. A 42, 1752 (1990)
V. Bartzis, Physica A 180, 428 (1992); A. Joshi, S.V. Lawande, Int. J. Mod. Phys. B 6, 3539 (1992)
C. Adamas, M. Sigel, J. Mlynek, Phys. Rep. 240, 143 (1994)
A. Kastberg, W.D. Philips, S.L. Rolston, R.J.C. Spreeuw, P.S. Jessen, Phys. Rev. Lett. 74, 1542 (1995)
M. Mohammadi, M.H. Naderi, M. Soltanolkotabi, J. Phys. A 40, 1377 (2007)
C. Lammerzahl, C.J. Borde, Phys. Lett. A 203, 59 (1995); K.P. Marzlin, J. Audertsch, Phys. Rev. A 53, 1004 (1995)
M. Mohammadi, M.H. Naderi, M. Soltanolkotabi, J. Phys. A 39, 11065 (2006)
M. Mohammadi, M.H. Naderi, M. Soltanolkotabi, Int. J. Theor. Phys (2007), doi: 10.1007/s10773-007-9526-8
J. Gea-Banacloche, Phys. Rev. Lett. 65, 3385 (1990)
P. Zhou, Z.L. Hu, J.S. Peng, J. Mod. Opt. 39, 49 (1992)
H. Araki, E. Lieb, Commun. Math. Phys. 18, 160 (1970)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Mohammadi, M., Naderi, M. & Soltanolkotabi, M. Effects of a classical homogeneous gravitational field on the cavity-field entropy and generation of the Schrödinger-cat states in the Jaynes-Cummings model. Eur. Phys. J. D 47, 295–302 (2008). https://doi.org/10.1140/epjd/e2008-00046-x
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1140/epjd/e2008-00046-x