Chaotic dynamics for a system of two-level atoms interacting with photons

Alexander V. Gorokhov; E. V. Rogacheva; V. V. Ruchkov

doi:10.1117/12.445691

24 October 2001 Chaotic dynamics for a system of two-level atoms interacting with photons

Alexander V. Gorokhov, E. V. Rogacheva, V. V. Ruchkov

Proceedings Volume 4589, Optical Fiber for Telecommunication in Russia; (2001) https://doi.org/10.1117/12.445691
Event: Optical Fiber for Telecommunication in Russia, 2001, none, Russian Federation

Abstract

Some quantum optical models possessing a transition from regular to chaotic dynamics and influence of 'quantum chaos' to photons statistics are investigated. Particular cases of semiclassical dynamics of a single atom and cooperative system of these atoms with (2j + 1) -- equidistant levels interacting with a quantized photon mode in an ideal cavity were considered. We take into account parametric pumping. Corresponding equations of motion are received without the rotation-wave approximation. It was demonstrated the scenario of transition to chaos, realized by doubling frequencies mechanism with growing of 'atom + field' coupling constant. Chaotic behavior and squeezing degree time dependence were obtained in computer simulations for coupling constant values of order of the atomic frequency, the calculation of the maximal Lyapunov coefficient for the dynamics of many two- level atoms interacting with photon cavity mode as function of 'atoms + field' interaction constant is performed. An influence of possible parametric instabilities of nonlinear media and effects of dissipation for atoms are discussed.

Citation Download Citation

Alexander V. Gorokhov, E. V. Rogacheva, and V. V. Ruchkov "Chaotic dynamics for a system of two-level atoms interacting with photons", Proc. SPIE 4589, Optical Fiber for Telecommunication in Russia, (24 October 2001); https://doi.org/10.1117/12.445691

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