Lyapunov exponents and order-to-chaos transitions in the interaction of two-level atoms with their own radiation field

Leonid E. Kon'kov; Sergey V. Prants

doi:10.1117/12.239732

6 May 1996 Lyapunov exponents and order-to-chaos transitions in the interaction of two-level atoms with their own radiation field

Leonid E. Kon'kov, Sergey V. Prants

Author Affiliations +

Proceedings Volume 2796, ICONO '95: Fundamentals of Laser-Matter Interaction; (1996) https://doi.org/10.1117/12.239732
Event: International Conference on Coherent and Nonlinear Optics, 1995, St. Petersburg, Russian Federation

Abstract

With the help of Lyapunov exponents different routes to quantum chaos are demonstrated numerically in two semiclassical models of the interaction of N two-level atoms with their own radiation field in a resonant cavity. The usual transition to chaos is observed when varying the external control parameter b which describes the interaction of the atomic ensemble with the field. After reaching its critical value b approximately equal to 1 the system becomes more and more chaotic as b increases. As the second control parameter a (the dimensionless individual Rabi frequency) increases the system undergoes transitions to chaos by a completely different way. We observe a complex sequence of order-to-chaos transitions that resembles those for the classical Lorenz attractor.

Citation Download Citation

Leonid E. Kon'kov and Sergey V. Prants "Lyapunov exponents and order-to-chaos transitions in the interaction of two-level atoms with their own radiation field", Proc. SPIE 2796, ICONO '95: Fundamentals of Laser-Matter Interaction, (6 May 1996); https://doi.org/10.1117/12.239732

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