Abstract
A semiclassical theory is proposed to describe the light amplification in a Bose—Einstein condensate of a dilute atomic gas observed in [1]. Atomic states with well-defined momenta are taken as a basis of wave functions to derive the Maxwell—Bloch equations for the model of a dilute gas of atoms interacting with electromagnetic field. The evolution of light intensity and populations of coherent atomic states with different recoil momenta is described by solving these equations. The solutions obtained are used to demonstrate theoretically the effects observed in [1].
Similar content being viewed by others
References
S. Inouye, R. F. Low, S. Gupta, et al., Phys. Rev. Lett. 85, 4225 (2000).
M. H. Anderson, J. R. Ensher, M. R. Matthews, et al., Science 269, 198 (1995).
D. S. Hall, M. R. Matthews, C. E. Wieman, and E. A. Cornell, Phys. Rev. Lett. 81, 1543 (1998).
J. Stenger, S. Inouye, D. M. Stamper-Kurn, et al., Phys. Rev. Lett. 82, 4569 (1999).
S. Inouye, A. P. Chikkatur, D. M. Stamper-Kurn, et al., Science 285, 571 (1999).
L. V. Hau, S. E. Harris, Z. Dutton, and C. H. Behoroozi, Nature 397, 594 (1999).
F. Dalfovo, S. Giorgini, L. P. Pitaevskii, and S. Stringari, Rev. Mod. Phys. 71, 463 (1999).
Ph. W. Courteille, V. S. Bagnato, and V. I. Yukalov, Laser Phys. 11, 659 (2001).
G. Lenz, P. Meystre, and E. M. Wright, Phys. Rev. A 50, 1681 (1994).
Y. Castin and K. Mölmer, Phys. Rev. A 51, R3426 (1995).
J. Javanainen, Phys. Rev. Lett. 75, 1927 (1995).
M. G. Moore and P. Meystre, Phys. Rev. Lett. 83, 5202 (1999).
O. E. Mustecaplioglu and L. You, Phys. Rev. A 62, 063615 (2000).
N. Piovella, M. Gatelli, and R. Bonifacio, Opt. Commun. 194, 167 (2001).
E. D. Trifonov, Zh. Éksp. Teor. Fiz. 120, 1117 (2001) [JETP 93, 969 (2001)].
E. D. Trifonov, Laser Phys. 12, 211 (2002).
E. D. Trifonov, Opt. Spektrosk. 92, 631 (2002) [Opt. Spectrosc. 92, 577 (2002)].
R. H. Dicke, Phys. Rev. 93, 99 (1954).
M. G. Benedict, A. M. Ermolaev, V. A. Malyshev, I. V. Sokolov, and E. D. Trifonov, Superradiance: Multi-atomic Coherent Emission (IOP, Bristol and Philadelphia, 1996).
E. D. Trifonov and N. I. Shamrov, Opt. Spektrosk. 96, 294 (2004) [Opt. Spectrosc. 96, 258 (2004)].
Author information
Authors and Affiliations
Additional information
__________
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. 1, 2004, pp. 54–62.
Original Russian Text Copyright © 2004 by Trifonov, Shamrov.
Rights and permissions
About this article
Cite this article
Trifonov, E.D., Shamrov, N.I. Amplification of light in a dilute-gas Bose-Einstein condensate. J. Exp. Theor. Phys. 99, 43–50 (2004). https://doi.org/10.1134/1.1787077
Received:
Issue Date:
DOI: https://doi.org/10.1134/1.1787077