An algebraic approach to superradiance of harmonic oscillators

W. Żakowicz

W. Żakowicz

James K. Freericks, Michael Rushka

W. Żakowicz

The evolution of a small spherical system of many harmonic oscillators, initially in a coherent superradiant state, is considered. The dipole oscillators interact via their mutual fields, both longitudinal and transverse, including both radiation- and near-zone contributions. In principle, this interaction can dephase the vibration of oscillators and thereby decrease or eliminate the coherent superradiant contribution to the emitted radiation. It is shown, however, that if the system is sufficiently small, this dephasing makes only small corrections to the decay of the initial state. Thus the emission of a superradiant pulse and cooperative radiative decay are major processes in the system.

Volodymyr M. Kuklin, D. N. Litvinov, A.E. Sporov

Tomohei Sasada

The non-Markoffian effect on superradiance from an assembly of many harmonic oscillators is investigated based on a theory recently developed by Bonifacio, Schwendimann, and Haake. A superradiance master equation is solved exactly by introducing the coherent state basis. It is show how the retardation effect, which takes into account a dynamical role of the photon field played during the radiating processes, modifies the shape and Poissonian statistics of superradiant pulses obtained from the Markoffian approach.