6 May 1996 Lyapunov exponents and order-to-chaos transitions in the interaction of two-level atoms with their own radiation field
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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.
© (1996) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Leonid E. Kon'kov, 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); doi: 10.1117/12.239732; https://doi.org/10.1117/12.239732
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