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Chaos-assisted tunneling and 1/ƒ^(α) spectral fluctuations in the order-chaos transition

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Relaño Pérez, Armando (2008) Chaos-assisted tunneling and 1/ƒ^(α) spectral fluctuations in the order-chaos transition. Physical review letters, 100 (22). ISSN 0031-9007

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Official URL: http://dx.doi.org/10.1103/PhysRevLett.100.224101


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http://journals.aps.org/Publisher


Abstract

It has been shown that the spectral fluctuations of different quantum systems are characterized by 1/ƒ^(α) noise, with 1 </= "alpha" </= 2, in the transition from integrability to chaos. This result is not well understood. We show that chaos-assisted tunneling gives rise to this power-law behavior. We develop a random matrix model for intermediate quantum systems, based on chaos-assisted tunneling, and we discuss under which conditions it displays 1/ƒ^(α) noise in the transition from integrability to chaos. We conclude that the variance of the elements that connect regular with chaotic states must decay with the difference of energy between them. We compare the characteristics of the transition modeled in this way with what is obtained for the Robnik billiard.


Item Type:Article
Additional Information:

© 2008 The American Physical Society. This work was supported by Grants No. FIS2006-12783-C03-01 from Ministerio de Educación y Ciencia of Spain, and No. CCG07-CSIC/ESP-1962 from Comunidad de Madrid and CSIC. The author is supported by the Spanish program ‘‘Juan de la Cierva’’.

Uncontrolled Keywords:Random-Matrix, Level
Subjects:Sciences > Physics > Thermodynamics
ID Code:27617
Deposited On:17 Dec 2014 11:45
Last Modified:17 Dec 2014 11:45

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