Determination of scale invariance in random-matrix spectral fluctuations without unfolding.
Phys Rev E
; 96(1-1): 012110, 2017 Jul.
Article
em En
| MEDLINE
| ID: mdl-29347153
ABSTRACT
We apply the singular value decomposition (SVD) method, based on normal-mode analysis, to decompose the spectra of finite random matrices of standard Gaussian ensembles in trend and fluctuation modes. We use the fact that the fluctuation modes are scale invariant and follow a power law, to characterize the transition between the extreme regular and chaotic cases. Thereby, we quantify the quantum chaos in systems described by random matrix theory in a direct way, without performing any previous unfolding procedure, and therefore, avoiding possible artifacts.
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Base de dados:
MEDLINE
Tipo de estudo:
Clinical_trials
Idioma:
En
Ano de publicação:
2017
Tipo de documento:
Article