Título:
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Distribution of the ratio of consecutive level spacings for different symmetries and degrees of chaos
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Autores:
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Corps, Angel L. ;
Relaño Pérez, Armando
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Tipo de documento:
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texto impreso
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Editorial:
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American Physical Society, 2020-02-28
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Dimensiones:
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application/pdf
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Nota general:
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info:eu-repo/semantics/openAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Física: Termodinámica
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Tipo = Artículo
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Resumen:
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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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En línea:
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https://eprints.ucm.es/id/eprint/60209/1/Rela%C3%B1o63libre.pdf
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