Theoretical derivation of 1/ƒ noise in quantum chaos



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Relaño Pérez, Armando and Faleiro, E. and Gómez Gómez, José María and Molina, R. A. and Muñoz, L. and Retamosa Granado, Joaquín (2004) Theoretical derivation of 1/ƒ noise in quantum chaos. Physical review letters, 93 (24). ISSN 0031-9007

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It was recently conjectured that 1/ƒ noise is a fundamental characteristic of spectral fluctuations in chaotic quantum systems. This conjecture is based on the power spectrum behavior of the excitation energy fluctuations, which is different for chaotic and integrable systems. Using random matrix theory, we derive theoretical expressions that explain without free parameters the universal behavior of the excitation energy fluctuations power spectrum. The theory gives excellent agreement with numerical calculations and reproduces to a good approximation the 1/ƒ (1/ƒ^(2)) power law characteristic of chaotic (integrable) systems. Moreover, the theoretical results are valid for semiclassical systems as well.

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©2004 The American Physical Society. We are particularly indebted to P. Leboeuf, O. Bohigas, and M. Robnik for enlightening discussions. This work is supported in part by Spanish Government Grants No. BFM2003-04147-C02 and No. FTN2003-08337-C04-04.

Uncontrolled Keywords:Spectra
Subjects:Sciences > Physics > Thermodynamics
ID Code:27785
Deposited On:18 Dec 2014 11:47
Last Modified:18 Dec 2014 11:47

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