This article is cited in 2 papers

Laser applications and other topics in quantum electronics

Transition to dynamic chaos in the interaction of a two-level atom in a cavity with its own radiation field

S. V. Prants, L. E. Kon'kov

V I Il'ichev Pacific Oceanological Institute, Far-Eastern Division of the Russian Academy of Sciences, Vladivostok

Abstract: An analytic symmetry approach is proposed and applied to nonlinear Hamiltonian dynamics of the self-consistent interaction of a two-level atom in a high-Q cavity with its own radiation field. A numerical investigation is reported of a transition from quasiperiodic to deterministically chaotic oscillations in a system of this kind which has classical and quantum degrees of freedom. This occurs when the control parameter Ω, which is the constant of the atom – field interaction, is increased. The largest Lyapunov exponent (which is a measure of the degree of chaos of a system) is used to demonstrate an alternation of the order – chaos transitions with increase in Ω. The power spectra and the phase portraits obtained for different ranges of Ω confirm the predicted path of the appearance of dynamic chaos in the fundamental model of quantum electronics.

PACS: 42.50.Ne, 32.80.-t, 05.45.+b

Received: 01.01.1996

 English version: Quantum Electronics, 1996, 26:1, 91–93

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