Research PapersNo Access

A STUDY OF THE INTERACTION BETWEEN A FIVE-LEVEL ATOM AND A SINGLE-MODE CAVITY FIELD: FAN-TYPE

N. H. ABDEL-WAHAB

Mathematics Department, Faculty of Science, Minia University, Minia, Egypt

https://doi.org/10.1142/S0217984911027303Cited by:4 (Source: Crossref)

Abstract

In this paper, a model describing the interaction of a five-level (⁸⁵Rb) atom with one-mode cavity field including Kerr nonlinearity is discussed. Analytical solution for this model is presented when the atom is initially prepared in its upper state. The obtained results are then employed to examine the dynamical behavior of atomic inversion, field statistics and field squeezing when the input field is initially considered in a coherent state. It is found that the atom-field properties are influenced by the changing of the coupling constants, the detuning parameters and the Kerr medium.

Keywords:

PACS: 42.50-p, 32.80.-t, 03.65.Ud, 03.65.Sq

References

N. B. Narozhny, J. J. Sanchez-Mondragon and J. H. Eberly, Phys. Rev. A 23 (1981) 236; M. Abdel-Aty, Physica A 313 (2002) 471 . Google Scholar
C. K. Hong and L. Mandel, Phys. Rev. A 32 (1985) 974; C. K. Hong and L. Mandel, Phys. Rev. Lett. 54 (1985) 323; M. Hillary, Opt. Commun. 62 (1987) 135; S. Rani, Z.-M. Zhang, L. Xu, J.-L. Chai and F.-L. Li, Phys. Lett. A 150 (1990) 27; Y. Zhan, Phys. Lett. A 160 (1991) 498 . Google Scholar
R. R. Puri and R. K. Bullough, J. Opt. Soc. Am. B 5 (1988) 2021; M. S. Kim, J. Mod. Opt. 40 (1993) 1331; C. W. Chou, L.-M. Duan and H. J. Kimple, Nature (London) 423 (2003) 731 . Google Scholar
C. H. Bennetet al., Phys. Rev. Lett. 70, 1895 (1993). Web of Science, Google Scholar
M. Gisinet al., Rev. Mod. Phys. 74, 145 (2003). Web of Science, ADS, Google Scholar
S. L. Braunstein and H. L. Kample, Phys. Rev. A 61, 042302 (2000). Web of Science, Google Scholar
H. P. Yuen and J. H. Shapiro, IEEE. Trans. Inform. Theory IT24 (1978); IT26 (1980) . Google Scholar
J. H. Shapiro, Opt. Lett. 5, 351 (1980). Web of Science, ADS, Google Scholar
B. I. Schumaker, Phys. Rev. A 31, 3093 (1985). Web of Science, ADS, Google Scholar
C. M. Caveset al., Rev. Mod. Phys. 52, 341 (1980). Web of Science, ADS, Google Scholar
M. A. Nielsen and I. L. Chuang , Quantum Computation and Quantum Information ( Cambridge University Press , Cambridge , 2000 ) . Google Scholar
E. T. Jaynes and F. W. Cummings, Proc. IEEE 51, 89 (1963). Web of Science, Google Scholar
B. Yurke and D. Stoler, Phys. Rev. Lett. 57 (1986) 13; G. S. Agarwal and R. R. Puri, Phys. Rev. A 39 (1989) 2969 . Google Scholar
Z.-D. Liu, X.-S. Li and D. L. Lin, Phys. Rev. A 36 (1987) 5220; X.-S. Li, D. L. Lin and C. D. Dong, ibid. 36 (1987) 5209; N. H. Abdel-Wahab, Phys. Scr. 76 (2007) 233, 244 . Google Scholar
Z. D. Liu, S.-Y. Zhu and X.-S. Li, J. Mod. Opt. 45 (1988) 833; A.-S. F. Obada, A. M. M. Abu-Sitta and O. M. Yassin, J. Egypt Math. Soc. 2 (1994) 103; K. I. Osman and H. A. Ashi, Physica A 310 (2002) 165; N. H. Abdel-Wahab, M. E. Amin and M. Taha, Fizika (Zagreb) 2 (2006) 113 . Google Scholar
N. H. Abdel-Wahab, J. Appl. Math. Inf. Sci. 1(3) (2007) 263; J. Phys. B: At. Mol. Opt. Phys. 40 (2007) 4233; 41 (2008) 105502 . Google Scholar
N. H. Abdel-Wahab, Mod. Phys. Lett. B 22(26) (2008) 2587; 22(28) (2008) 2801 . Google Scholar
N. H. Abdel-Wahab, Nouvo Cimento B 124(12), 1161 (2009). Google Scholar
H. S. Moonet al., J. Korean Phys. Soc. 33(3), 337 (1998). Web of Science, Google Scholar
W.-H. Xu and J.-Y. Gao, Laser Phys. 14(10), 1322 (2004). Web of Science, Google Scholar
Y. Liet al., Phys. Lett. A 354, 1 (2006). Web of Science, ADS, Google Scholar
M. A. Antonet al., Opt. Commun. 281, 6040 (2008). Web of Science, ADS, Google Scholar
K. Kowalskiet al., J. Non-Cryst. Solids 355, 1295 (2009). Web of Science, ADS, Google Scholar
X.-S. Li and S.-Y. Zhu, Physica A 131 (1985) 575; A. M. Abdel-Hafez, A.-S. F. Obada and M. M. A. Ahmed, J. Phys. A: Math. Gen. 20 (1987) L359; N. H. Abdel-Wahab, Phys. Scr. 71 (2005) 132 . Google Scholar
N. H. Abdel-Wahab, Phys. Scr. 76, 244 (2007). Web of Science, ADS, Google Scholar
R. A. Zait and N. H. Abdel-Wahab, Mod. Phys. Lett. B 18(21&22), 1087 (2004). Link, Web of Science, Google Scholar
R. Loudon , The Quantum Theory of Light ( Clarendon Press , Oxford , 1983 ) . Google Scholar
L. Mandel, Opt. Commun. 42, 437 (1982). Web of Science, ADS, Google Scholar