Abstract
In this paper, a model is introduced to investigate the interaction between a three-level atom and one-mode of the radiation field. The atomic motion and the classical homogenous gravitational field are taken into consideration. For this purpose, we first introduce a set of new atomic operators obeying an su(3) algebraic structure to derive an effective Hamiltonian for the system under consideration. By solving the Schrödinger equation in the interaction picture, the exact solution is given when the atom and the field are initially prepared in excited state and coherent state, respectively. The influences of the gravity parameter on the collapses-revivals phenomena, the atomic momentum diffusion, the Mandel Q-parameter, the normal squeezing phenomena and the coherent properties for the considered system are examined. It is found that the gravity parameter has important effects on the properties of these phenomena.
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References
M.O. Scully, W.E. Lamp, Laser Physics (Addision-Wesley, Reading, Mass, 1974).
L. Allen, J.H. Eberly, Optical Resonance and Two-level Atom (Wiley, New York, 1975).
E.T. Jaynes, F.W. Cummings, Proc. IEEE 51, 89 (1963).
M.D. Levenson, N. Bloembergen, Phys. Rev. Lett. 34, 1 (1974).
S. Feneuille, Rep. Prog. Phys. 40, 1257 (1977).
B.J. Dalton, P.L. Knight, J. Phys. B: At. Mol. Phys. 15, 3997 (1982).
H.P.W. Gottlieb, Phys. Rev. A 26, 3713 (1987).
A. Salah, Quantum aspects for three-level atom with one mode cavity field (LAP LAMBERT Academic Publishing, Germany, 2015).
X.-S. Li, D.L. Lin, C.-D. Gong, Phys. Rev. A 36, 5209 (1987).
A.-S.F. Obada, A.M. Abdel-Hafez, M.M.A. Ahmed, Phys. Rev. A 35, 1634 (1987).
R.R. Schlicher, Opt. Commun. 70, 97 (1989).
J.-R. Liu, Y.-Z. Wang, Phys. Rev. A 54, 2444 (1996).
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, Phys. Scr. 84, 055401 6 (2011).
H.R. Baghshahi, M.K. Tavassoly, Eur. Phys. J. Plus 130, 37 (2015).
N.H. Abdel Wahab, Ahmed Salah, Eur. Phys. J. Plus 130, 92 (2015).
N.H. Abd El-Wahab, Ahmed Salah, Mod. Phys. Lett. B 29, 1550175 (2015).
M.S. Kim, J. Mod. Opt. 40, 1331 (1993).
R. Loundon, The Quantum Theory of Light (Clarendon Press, Oxford, Plenum, 1983).
L. Mandel, Opt. Letters 4, 205 (1979).
H.P. Yuen, J.H. Shapiro, IEEE Trans. Inform. IT24, 657 (1978).
H.P. Yuen, J.H. Shapiro, IEEE Trans. Inform. IT25, 179 (1979).
H.P. Yuen, J.H. Shapiro, IEEE Trans. Inform. IT26, 78 (1980).
J.H. Shapiro, Opt. Lett. 5, 351 (1980).
C.M. Caves, B.I. Schumaker, Phys. Rev. A 31, 3068 (1985).
B.I. Schumaker, C.M. Caves, Phys. Rev. A 31, 3093 (1985).
S.L. Braunstein, H.L. Kimple, Phys. Rev. A 61, 042302 (2002).
J. Gea-Banachloche, Phys. Rev. Lett. 65, 3385 (1990).
V. Buzek, B. Hladky, J. Mod. Opt. 40, 1305 (1993).
M.F. Fang, P. Zhou, Acta Phys. Sinica 43, 570 (1994).
R.A. Zait, N.H. Abd El-Wahab, J. Phys. B: At. Mol. Opt. Phys. 35, 3701 (2002).
M. Hillary, Opt. Commun. 62, 135 (1987).
M. Hillary, Phys. Rev. A 36, 3976 (1987).
X.-S. Li, C.-D. Gong, Phys. Rev. A 33, 2801 (1986).
Z.-D. Liu, X.-S. Li, D.-L. Lin, Phys. Rev. A 36, 5220 (1987).
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Abd El-Wahab, N.H., Abdel Rady, A.S., Osman, AN.A. et al. Dynamics of three-level Λ-type atom interacting with one mode cavity field with both classical gravity and quantum radiation: Lie algebra approach. Eur. Phys. J. Plus 130, 207 (2015). https://doi.org/10.1140/epjp/i2015-15207-1
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DOI: https://doi.org/10.1140/epjp/i2015-15207-1