Critical statistics in quantum chaos and Calogero-Sutherland model at finite temperature

A. M. García-García; J. J.M. Verbaarschot

Critical statistics in quantum chaos and Calogero-Sutherland model at finite temperature

A. M. García-García
, J. J.M. Verbaarschot

Physics and Astronomy

Stony Brook University

Research output: Contribution to journal › Article › peer-review

42 Scopus citations

Abstract

The importance of critical statistics in quantum chaos and Calogero-sutherland (CS) model at finite temperature was studied. Critical statistics was explained by the spectral properties of a generalized Gaussian orthogonal ensemble. The article presented a one-parameter ensemble of symmetric random matrices. The spectral correlations of complex quantum systems with a self-similar or fractal Poincaré section of its classical counterpart was described by the random matrix model.

Original language	English
Article number	046104
Pages (from-to)	461041-4610413
Number of pages	4149373
Journal	Physical Review E
Volume	67
Issue number	4 2
State	Published - Apr 2003

Cite this

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abstract = "The importance of critical statistics in quantum chaos and Calogero-sutherland (CS) model at finite temperature was studied. Critical statistics was explained by the spectral properties of a generalized Gaussian orthogonal ensemble. The article presented a one-parameter ensemble of symmetric random matrices. The spectral correlations of complex quantum systems with a self-similar or fractal Poincar{\'e} section of its classical counterpart was described by the random matrix model.",

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AB - The importance of critical statistics in quantum chaos and Calogero-sutherland (CS) model at finite temperature was studied. Critical statistics was explained by the spectral properties of a generalized Gaussian orthogonal ensemble. The article presented a one-parameter ensemble of symmetric random matrices. The spectral correlations of complex quantum systems with a self-similar or fractal Poincaré section of its classical counterpart was described by the random matrix model.

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Critical statistics in quantum chaos and Calogero-Sutherland model at finite temperature

Abstract

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