Nonlinear Phenomena in Complex Systems, 2002, Vol.5, No.3, pp.250-262

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2002, Vol.5, No.3, pp.250-262

Homoclinic Chaos in Two Level Quantum System. pp.250-262
H.V. Grushevskaya and E.V. Kovalchuk

Two-level quantum system in a resonant quasi-monochromatic field with singular perturbations was considered. In WKB approximation the system demonstrates a transition to quantum deterministic chaos through the cascade of period doubling bifurcations by overlapping nonlinear resonances as a result of infinite numbers of intersections of homoclinic trajectory's whiskers.
Key words: quantum chaotic behavior, nonlinear resonance, two-level quantum system, WKB approximation.

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