RT Journal Article
T1 Theoretical derivation of 1/ƒ noise in quantum chaos
A1 Relaño Pérez, Armando
A1 Faleiro, E.
A1 Gómez Gómez, José María
A1 Molina, R. A.
A1 Muñoz Muñoz, Laura
A1 Retamosa Granado, Joaquín
AB 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.
PB American Physical Society
SN 0031-9007
YR 2004
FD 2004-12-10
LK https://hdl.handle.net/20.500.14352/51286
UL https://hdl.handle.net/20.500.14352/51286
LA eng
NO Faleiro E, Gómez J M G, Molina R A, Muñoz L, Relaño A and Retamosa J 2004 Theoretical Derivation of 1 / f Noise in Quantum Chaos Phys. Rev. Lett. 93 244101
NO ©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.
NO Gobierno de España
DS Docta Complutense
RD 12 may 2025