Shannon entropy at avoided crossings in the quantum transition from order to chaos

Shannon entropy is studied for the series of avoided crossings that characterize the transition from order to chaos in quantum mechanics. In order to be able to study jointly this entropy for discrete and continuous probability, calculations have been performed on a quantized map, the kicked Harper...

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Bibliographic Details
Published inPhysical review. E Vol. 99; no. 6-1; p. 062209
Main Authors Arranz, F J, Benito, R M, Borondo, F
Format Journal Article
LanguageEnglish
Published United States 01.06.2019
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Summary:Shannon entropy is studied for the series of avoided crossings that characterize the transition from order to chaos in quantum mechanics. In order to be able to study jointly this entropy for discrete and continuous probability, calculations have been performed on a quantized map, the kicked Harper map, resulting in a different behavior, as order-chaos transition takes place, for the discrete (position representation) and continuous (coherent state representation) cases. This different behavior is analyzed in terms of the distribution of zeros of the Husimi function.
ISSN:2470-0053
DOI:10.1103/PhysRevE.99.062209