Abstract
Using the eigenmode analysis, we show that the frequency shift of the radiation emitted from a spherical cloud of two-level atoms in a scalar photon theory model, the dynamical Cooperative Lamb Shift (CLS), is dependent on the size of the sphere, the angle of emission, the instant of observation, the degree of initial excitation and the form of the initial state function.
Similar content being viewed by others
References
R. Friedberg, S. R. Hartmann, and J. T. Manassah, Phys. Rep. 7, 101 (1973).
R. H. Dicke, Phys. Rev. 93, 93 (1954).
W. E. Lamb, Jr. and R. C. Retherford, Phys. Rev. 72, 241 (1947).
M. Scully, Phys. Rev. Lett. 102, 143601 (2009).
R. Friedberg and J. T. Manassah, Phys. Lett. A 373, 3423 (2009).
R. Friedberg and J. T. Manassah, Phys. Lett. A 372, 2514 (2008).
A. Svidzinsky and J. T. Chang, Phys. Rev. A 77, 043833 (2008).
J. D. Jackson, Classical Electrodynamics, 3rd ed. (Wiley, New York, 1998).
R. Friedberg and J. T. Manassah, Opt. Commun. 281, 4391 (2008).
R. Friedberg and J. T. Manassah, Phys. Lett. A 372, 5734 (2008).
R. Friedberg, “Refinement of a Formula for Decay after Weak Coherent Excitation of a Sphere,” Annals of Phys. (in press).
R. Friedberg and J. T. Manassah, Laser Phys. 20(1) (2010, in press).
For example: N. N. Bogolubov, E. K. Bashkirov, and Fam le Kien, Physica A 133, 413 (1985); A. V. Andreev, A. V. Emel’yanov, and Yu. A. Ilinsky, Cooperative Phenomena in Optics (Nauka, Moscow, 1988); E. K. Bashkirov and S. V. Petrushkin, Laser Phys. 16, 1202 (2006).
Note added in Proof: After this paper was completed, R. Friedberg and I succeeded in obtaining a closed form expression for this quantity valid for all u0: {fx11-1}
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © Astro, Ltd., 2010.
The article is published in the original.
Rights and permissions
About this article
Cite this article
Manassah, J.T. The dynamical cooperative lamb shift in a system of two-level atoms in a sphere in the scalar photon theory. Laser Phys. 20, 259–269 (2010). https://doi.org/10.1134/S1054660X10010159
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1054660X10010159