Superradiant effects in systems of two-level atoms
C. R. Stroud, Jr., J. H. Eberly, W. L. Lama, and L. Mandel
Phys. Rev. A 5, 1094 (1972).
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The problem of the evolution in time of a system of two-level atoms that
are coupled through their electromagnetic fields, is studied and solved in
the framework of semiclassical radiation theory. The atoms may be in any
initial states and the radiation reaction is fully taken into account.
Both superradiance and time-dependent frequency shift or chirping effects
are found. The assumption that all the atoms see the same field is shown
to place severe constraints on the evolution of the system, in the form of
constants of the motion. These constraints are most easily pictured in
terms of the Bloch-vector representation of the atomic system, and they
lead to explicit solutions for the time development of each atom.
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