Spontaneous Emission from an Excited Atom in the Presence of <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>N</mi></math></span> Atoms and <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>M</mi></math></span> Modes

F. W. Cummings

doi:10.1103/PhysRevLett.54.2329

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Spontaneous Emission from an Excited Atom in the Presence of $N$ Atoms and $M$ Modes

F. W. Cummings

Department of Physics, University of California, Riverside, California 92512

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Phys. Rev. Lett. 54, 2329 – Published 27 May, 1985

DOI: https://doi.org/10.1103/PhysRevLett.54.2329

Abstract

The long-time behavior of the number of photons in a mode of the electromagnetic field is given in closed form in terms of elementary functions when there is initially one (two-level) atom excited in the presence of $N$ unexcited identical atoms and $M$ field modes. The radiation trapping which occurs with only one mode disappears when the number of modes $M$ approaches the total number of atoms in the continuum mode approximation.

References (10)

R. H. Dicke, Phys. Rev. 93, 99 (1954)
F. W. Cummings and Ali Dorri, Phys. Rev. A 28, 2282 (1983)
C. R. Stroud, J. H. Eberly, W. L. Loma, and L. Mandel, Phys. Rev. A 5, 1094 (1972)
M. Sargent, M. Scully, and W. Lamb, Laser Theory (Academic, London, 1974)
D. Meschede, H. Walther, and G. Muller, Phys. Rev. Lett. 54, 551 (1985)
D. Kleppner, Phys. Rev. Lett. 47, 233 (1981)
P. Goy, J. M. Raimond, M. Gross, and S. Haroche, Phys. Rev. Lett. 50, 1903 (1983)
S. Haroche, in New Trends in Atomic Physics, edited by G. Grynberg and R. Stora, Les Houches Summer School Proceedings No. 38 (North-Holland, Amsterdam, 1984), Part 1
E. T. Jaynes and F. W. Cummings, Proc. IEEE 51, 89 (1963)
M. Tavis and F. W. Cummings, Phys. Rev. 170, 379 (1968) E. R. Buley and F. W. Cummings, Phys. Rev. A 134, 1454 (1964)

[c1] R. H. Dicke, Phys. Rev. 93, 99 (1954)

[c2] F. W. Cummings and Ali Dorri, Phys. Rev. A 28, 2282 (1983)

[c3] C. R. Stroud, J. H. Eberly, W. L. Loma, and L. Mandel, Phys. Rev. A 5, 1094 (1972)

[c4] M. Sargent, M. Scully, and W. Lamb, Laser Theory (Academic, London, 1974)

[c5] D. Meschede, H. Walther, and G. Muller, Phys. Rev. Lett. 54, 551 (1985)

[c6] D. Kleppner, Phys. Rev. Lett. 47, 233 (1981)

[c7] P. Goy, J. M. Raimond, M. Gross, and S. Haroche, Phys. Rev. Lett. 50, 1903 (1983)

[c8] S. Haroche, in New Trends in Atomic Physics, edited by G. Grynberg and R. Stora, Les Houches Summer School Proceedings No. 38 (North-Holland, Amsterdam, 1984), Part 1

[c9] E. T. Jaynes and F. W. Cummings, Proc. IEEE 51, 89 (1963)

[c10] M. Tavis and F. W. Cummings, Phys. Rev. 170, 379 (1968) E. R. Buley and F. W. Cummings, Phys. Rev. A 134, 1454 (1964)

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Spontaneous Emission from an Excited Atom in the Presence of $N$ Atoms and $M$ Modes

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Spontaneous Emission from an Excited Atom in the Presence of N Atoms and M Modes

Abstract

References (10)

Spontaneous Emission from an Excited Atom in the Presence of $N$ Atoms and $M$ Modes