Physical Review A

Superradiant laser with partial atomic cooperativity

Carsten Seeger, Mikhail I. Kolobov, Marek Kuś, Fritz Haake

Published Nov 1, 1996• 12 citations

Abstract

We further develop the theory of the superradiant laser by allowing for submaximal atomic collectivity and spontaneous emission. In the absence of spontaneous emission we obtain a set of stationary solutions for different degrees of atomic cooperativity and investigate their fluctuation properties and interrelations with respect to the underlying U(3) symmetry. We use this set of solutions to discuss the breaking of U(3) by spontaneous emission. \textcopyright{} 1996 The American Physical Society.

DOI: 10.1103/physreva.54.4440

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Physical Review A

Superradiant laser with partial atomic cooperativity

Carsten Seeger, Mikhail I. Kolobov, Marek Kuś, Fritz Haake

Published Nov 1, 1996• 12 citations

Publisher

Abstract

DOI: 10.1103/physreva.54.4440

Related papers

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We investigate a four-level superradiant laser whose intensity is proportional to

{N}^{2}

and whose linewidth scales as

1/{N}^{2}

. In the absence of spontaneous emissions, we derive the stationary solutions of the atomic full cooperativity, analyze their stabilities, and find the corresponding irreducible representation based on group

U(4)

. We also investigate the spectra of the phase and amplitude fluctuations of the fields inside and outside the cavity and find that the amplitude fluctuations of the output fields cannot be squeezed in the low-frequency limit, which is completely different from the three-level superradiant laser system. Finally, we consider the stationary solutions corresponding to the partial cooperativity due to the symmetry breaking of

U(4)

induced by the atomic spontaneous emissions.

\sqrt{1/3}

, and it decreases rapidly as the atomic number density is reduced below a threshold density. Such a characteristic change is attributed to a transition from the superradiant emission to the amplified spontaneous emission.