Abstract
We examine the optical pumping effect in an ensemble of three-level atoms with a Λ configuration of the energy sublevels excited by parametric luminescence light in the squeezed state. We derive quantum kinetic equations that describe the evolution of the density matrix of atoms irradiated by low-intensity squeezed light with a finite-width spectrum. In particular, we show that because of the quantum statistical properties of the squeezed light there can be a redistribution of atoms among the lower energy sublevels, despite the equality of the intensities of the spectral components of the light that resonantly excites optical transitions in the Λ-system. The relation of the optical pumping effect to the correlation and spatial-temporal spectral properties of squeezed light is discussed in detail. Finally, we show that the effects are closely linked to the finiteness of the width of the squeezed-light spectrum.
Similar content being viewed by others
References
A. Kastler, J. Phys. Radium 11, 255 (1950).
W. Happer, Rev. Mod. Phys. 44, 169 (1972).
A. Omont, Prog. Quantum Electron. 5, 69 (1977).
E. B. Aleksandrov, G. I. Khvostenko, and M. P. Chaika, Interference of Atomic States, Springer, New York (1993).
E. Arimondo and G. Orriols, Nuovo Cimento Lett. 17, 333 (1976).
G. Alzetta, A. Gozzini, L. Moi, and G. Orriols, Nuovo Cimento B 36, 5 (1976).
G. Orriols, Nuovo Cimento B 53, 1 (1979).
B. D. Agap’ev, M. B. Gornyi, B. G. Matisov, and Yu. V. Rozhdestvenskii, Usp. Fiz. Nauk 163, No. 9, 1 (1993) [Phys. Usp. 36, 763 (1993)].
M. Xiao, L.-A. Wu, and H. J. Kimble, Phys. Rev. Lett. 59, 278 (1987).
E. S. Polzik, J. Carri, and H. J. Kimble, Phys. Rev. Lett. 68, 3020 (1992).
N. Ph. Georgiades, E. S. Polzik, K. Edamatsu, H. J. Kimble, and A. S. Parkins, Phys. Rev. Lett. 75, 3426 (1995).
C. W. Gardiner, Phys. Rev. Lett. 56, 1917 (1986).
H. J. Carmichael, A. S. Lane, and D. F. Walls, Phys. Rev. Lett. 58, 2539 (1987).
J. Gea-Banacloche, Phys. Rev. Lett. 62, 1603 (1989).
J. Javanainen and P. L. Gould, Phys. Rev. 41, 5088 (1990).
A. S. Parkins, in Modern Nonlinear Optics, Part 2, M. Evans and S. Kielich (eds.), Wiley, New York (1993), p. 607.
Z. Ficek and P. D. Drummond, Phys. Rev. A 43, 6247 (1991); 43, 6258 (1991).
G. Yu. Kryuchkyan, Zh. Éksp. Teor. Fiz. 109, 116 (1996) [JETP 82, 60 (1996)].
M. R. Ferguson, Z. Ficek, and B. J. Dalton, Phys. Rev. A 56, 2379 (1996).
A. S. Parkins, Phys. Rev. A 42, 4352 (1990); 42, 6873 (1990).
J. I. Cirac and L. L. Sanchez-Soto, Phys. Rev. A 44, 1948 (1991).
H. Ritsch and P. Zoller, Phys. Rev. A 38, 4657 (1988).
A. S. Parkins, Phys. Rev. A 53, 2893 (1996).
C. W. Gardiner and A. S. Parkins, Phys. Rev. A 50, 1792 (1994).
D. N. Klyshko, Photons and Nonlinear Optics, Gordon & Breach, New York, 1988.
L. V. Keldysh, Zh. Éksp. Teor. Fiz. 47, 1515 (1964) [Sov. Phys. JETP 20, 1018 (1965)].
E. M. Lifshitz and Pitaevskii, Physical Kinetics, Pergamon Press, Oxford (1981).
N. N. Bogoliubov and D. V. Shirkov, Introduction to the Theory of Quantized Fields, Wiley, New York (1979).
A. I. Okunevich, Opt. Spektrosk. 50, 443 (1981) [Opt. Spectrosc. 50, 239 (1981)].
I. V. Sokolov, Opt. Spektrosk. 73, 1158 (1992) [Opt. Spectrosc. 73, 689 (1992)].
V. B. Berestetskii, E. M. Lifshitz, and L. P. Pitaevskii, Quantum Electrodynamics, 3rd ed., Pergamon Press, Oxford (1991).
Author information
Authors and Affiliations
Additional information
Zh. Éksp. Teor. Fiz. 112, 137–162 (July 1997)
Rights and permissions
About this article
Cite this article
Kupriyanov, D.V., Sokolov, I.M. Optical pumping in a L-system by parametric luminescence light. J. Exp. Theor. Phys. 85, 73–86 (1997). https://doi.org/10.1134/1.558318
Received:
Issue Date:
DOI: https://doi.org/10.1134/1.558318