RT Journal Article
T1 Distribution of the ratio of consecutive level spacings for different symmetries and degrees of chaos
A1 Corps, Angel L.
A1 Relaño Pérez, Armando
AB 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.
PB American Physical Society
SN 2470-0045
YR 2020
FD 2020-02-28
LK https://hdl.handle.net/20.500.14352/6193
UL https://hdl.handle.net/20.500.14352/6193
LA eng
NO ©2020 American Physical Society. We acknowledge financial support through Spanish Grants No. PGC2018-094180-B-I00 (MCIU/AEI/FEDER, EU) and No. FIS2015-63770-P (MINECO/FEDER, EU).
NO Ministerio de Ciencia e Innovación (MICINN)/FEDER
NO Ministerio de Economía y Competitividad (MINECO)/FEDER
DS Docta Complutense
RD 16 may 2024