Classical and quantum chaos for a kicked top |
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Authors: | Haake F Kuś M Scharf R |
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Institution: | (1) Fachbereich Physik, Universität-Gesamthochschule Essen, Postfach 103764, D-4300 Essen 1, Germany;(2) Present address: Institute of Theoretical Physics, Warsaw University, Hoza 69, PL-00-681 Warsaw, Poland |
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Abstract: | We discuss a top undergoing constant precession around a magnetic field and suffering a periodic sequence of impulsive nonlinear kicks. The squared angular momentum being a constant of the motion the quantum dynamics takes place in a finite dimensional Hilbert space. We find a distinction between regular and irregular behavior for times exceeding the quantum mechanical quasiperiod at which classical behavior, whether chaotic or regular, has died out in quantum means. The degree of level repulsion depends on whether or not the top is endowed with a generalized time reversal invariance. |
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