%0 Journal Article
%A Corps, Angel L.
%A Relaño Pérez, Armando
%T Distribution of the ratio of consecutive level spacings for different symmetries and degrees of chaos
%D 2020
%@ 2470-0045
%U https://hdl.handle.net/20.500.14352/6193
%X Theoretical expressions for the distribution of the ratio of consecutive level spacings for quantum systems with transiting dynamics remain unknown. We propose a family of one-parameter distributions P(r) P(r; beta), where beta is an element of [0, +infinity) is a generalized Dyson index, that describes the eigenlevel statistics of a quantum system characterized by different symmetries and degrees of chaos. We show that this crossover strongly depends on the specific properties of each model, and thus the reduction of such a family to a universal formula, albeit desirable, is not possible. We use the information entropy as a criterion to suggest particular ansatze for different transitions, with a negligible associated error in the limits corresponding to standard random ensembles.
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