Distribution of the ratio of consecutive level spacings in random matrix ensembles.
Phys Rev Lett
; 110(8): 084101, 2013 Feb 22.
Article
en En
| MEDLINE
| ID: mdl-23473149
We derive expressions for the probability distribution of the ratio of two consecutive level spacings for the classical ensembles of random matrices. This ratio distribution was recently introduced to study spectral properties of many-body problems, as, contrary to the standard level spacing distributions, it does not depend on the local density of states. Our Wigner-like surmises are shown to be very accurate when compared to numerics and exact calculations in the large matrix size limit. Quantitative improvements are found through a polynomial expansion. Examples from a quantum many-body lattice model and from zeros of the Riemann zeta function are presented.
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Colección:
01-internacional
Base de datos:
MEDLINE
Tipo de estudio:
Clinical_trials
Idioma:
En
Revista:
Phys Rev Lett
Año:
2013
Tipo del documento:
Article
País de afiliación:
Francia
Pais de publicación:
Estados Unidos