Abstract
A basis of polarization-dressed states is proposed for atomic energy levels degenerate in the total angular momentum projections in the case of interaction with elliptically polarized light. It is shown that instead of selection rules for the magnetic quantum number, the interaction in this basis can be presented as the sum of direct transitions between corresponding pairs of polarization-dressed states of the upper and lower levels. The explicit form of the basis is derived for ten possible combinations of dipole transitions between energy levels with angular momenta J = 0, 1/2, 1, 3/2, and 2. The problem of Rabi oscillations in such a system is considered as an application.
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References
A. Kastler, J. Phys. Radium 11, 255 (1950).
D. Lenstra, Phys. Rep. 59, 3 (1980).
G. Grynberg, B. Lounis, P. Verkerk, et al., Phys. Rev. Lett. 70, 2249 (1993).
S. G. Schirmer, A. I. Solom, and J. V. Leahy, J. Phys. A: Math. Gen. 35, 4125 (2002).
V. Milner, B. Chernobrod, and Y. Prior, Phys. Rev. A 60, 1293 (1999).
A. M. Tumaikin and V. I. Yudin, Zh. Éksp. Teor. Fiz. 98, 81 (1990) [Sov. Phys. JETP 71, 43 (1990)].
A. M. Basharov and A. I. Maimistov, Zh. Éksp. Teor. Fiz. 87, 1594 (1984) [Sov. Phys. JETP 60, 913 (1984)]; A. M. Basharov, A. I. Ma\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l}\)imistov, and Yu. M. Sklyarov, Opt. Spektrosk. 63, 707 (1987) [Opt. Spectrosc. 63, 418 (1987)]; A. M. Basharov and A. I. Ma\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l}\)mistov, Zh. Éksp. Teor. Fiz. 94 (12), 61 (1988) [Sov. Phys. JETP 67, 2426 (1988)]; A. M. Basharov and A. I. Ma\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l}\)mistov, Opt. Spektrosk. 68, 1112 (1990) [Opt. Spectrosc. 68, 649 (1990)].
V. S. Smirnov, A. M. Tumaikin, and V. I. Yudin, Zh. Éksp. Teor. Fiz. 96, 1613 (1989) [Sov. Phys. JETP 69, 913 (1989)].
A. V. Taichenachev, A. M. Tumaikin, V. I. Yudin, and G. Nienhuis, Phys. Rev. A 69, 033410 (2004).
A. V. Taichenachev, A. M. Tumaikin, and V. I. Yudin, Zh. Éksp. Teor. Fiz. 110, 1727 (1996) [JETP 83, 949 (1996)].
A. V. Taichenachev, A. M. Tumaikin, and V. I. Yudin, Zh. Éksp. Teor. Fiz. 118, 77 (2000) [JETP 91, 67 (2000)].
A. V. Taichenachev, A. M. Tumaikin, V. I. Yudin, and M. A. Ol’shanyi, Pis’ma Zh. Éksp. Teor. Fiz. 53, 336 (1991) [JETP Lett. 53, 351 (1991)]; Zh. Éksp. Teor. Fiz. 101, 1787 (1992) [Sov. Phys. JETP 74, 952 (1992)].
A. V. Taichenachev, A. M. Tumaikin, V. I. Yudin, and G. Nienhuis, Zh. Éksp. Teor. Fiz. 114, 125 (1998) [JETP 87, 70 (1998)].
A. V. Taichenachev, A. M. Tumaikin, V. I. Yudin, and G. Nienhuis, Zh. Éksp. Teor. Fiz. 108, 415 (1995) [JETP 81, 224 (1995)].
J. R. Morris and B. W. Shore, Phys. Rev. A 27, 906 (1983).
G. Nienhuis, Opt. Commun. 59, 353 (1986).
N. B. Delone and V. P. Krainov, Atom in a Strong Light Field (Atomizdat, Moscow, 1978) [in Russian].
A. Allen and J. Eberly, Optical Resonance and Two-Level Atoms (Wiley, New York, 1975; Atomizdat, Moscow, 1978).
A. A. Zabolotskii, Zh. Éksp. Teor. Fiz. 121, 1012 (2002) [JETP 94, 869 (2002)].
I. V. Zelenskii and E. A. Mironov, Zh. Éksp. Teor. Fiz. 121, 1068 (2002) [JETP 94, 916 (2002)].
L. P. Rapoport, B. A. Zon, and N. L. Manakov, Theory of Multiphoton Processes in Atoms (Atomizdat, Moscow, 1978) [in Russian].
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Translated from Zhurnal Éksperimental’no\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l}\) i Teoretichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l}\) Fiziki, Vol. 126, No. 6, 2004, pp. 1303–1316.
Original Russian Text Copyright © 2004 by Prudnikov, Ta\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l}\)chenachev, Tuma\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l}\)kin, Yudin, Nienhuis.
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Prudnikov, O.N., Taichenachev, A.V., Tumaikin, A.M. et al. Basis of polarization-dressed states of an atom in an elliptically polarized resonant field. J. Exp. Theor. Phys. 99, 1137–1149 (2004). https://doi.org/10.1134/1.1854801
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DOI: https://doi.org/10.1134/1.1854801