INVESTIGADORES
LOMBARDI olimpia Iris
artículos
Título:
The classical limit of non-integrable quantum systems, a route to quantum chaos
Autor/es:
MARIO CASTAGNINO; OLIMPIA LOMBARDI
Revista:
CHAOS, SOLITONS AND FRACTALS
Editorial:
PERGAMON-ELSEVIER SCIENCE LTD
Referencias:
Año: 2006 vol. 28 p. 879 - 898
ISSN:
0960-0779
Resumen:
The classical limit of non-integrable quantum systems is studied. We define non-integrable quantum systems as those, which have, as their classical limit, a non-integrable classical system. This quantum systems will be the candidates to be the models of quantum chaos. In order to obtain this limit, the self-induced decoherence approach and the corresponding classical limit are generalized from integrable to non-integrable systems. In this approach, the lost of information, usually conceived as the result of a coarse-graining or the trace of an environment, is produced by a particular choice of the algebra of observables and the systematic use of mean values, that project the unitary evolution onto an effective non-unitary one. By means of our method, we can obtain the classical limit of the quantum state of a non-integrable system, which turns out to be a set of unstable, potentially chaotic classical trajectories contained in the Wigner transformation of the quantum state.