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Proceedings Paper

Lyapunov exponents and order-to-chaos transitions in the interaction of two-level atoms with their own radiation field
Author(s): Leonid E. Kon'kov; Sergey V. Prants
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Paper 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.

Paper Details

Date Published: 6 May 1996
PDF: 7 pages
Proc. SPIE 2796, ICONO '95: Fundamentals of Laser-Matter Interaction, (6 May 1996); doi: 10.1117/12.239732
Show Author Affiliations
Leonid E. Kon'kov, Pacific Oceanological Institute (Russia)
Sergey V. Prants, Pacific Oceanological Institute (Russia)


Published in SPIE Proceedings Vol. 2796:
ICONO '95: Fundamentals of Laser-Matter Interaction
Konstantin N. Drabovich; Nikolai I. Koroteev, Editor(s)

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