RT Journal Article
T1 Chaos-assisted tunneling and 1/ƒ^(α) spectral fluctuations in the order-chaos transition
A1 Relaño Pérez, Armando
AB 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.
PB American Physical Society
SN 0031-9007
YR 2008
FD 2008-06-06
LK https://hdl.handle.net/20.500.14352/51267
UL https://hdl.handle.net/20.500.14352/51267
LA eng
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NO © 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’’.
NO Ministerio de Educación y Ciencia of Spain
NO Comunidad de Madrid
NO CSIC
NO Spanish program ‘‘Juan de la Cierva’’
DS Docta Complutense
RD 6 may 2024