RT Journal Article T1 1/ƒ(α) noise in spectral fluctuations of quantum systems A1 Relaño Pérez, Armando A1 Gómez Gómez, José María A1 Retamosa Granado, Joaquín A1 Faleiro, E. A1 Salasnich, L. A1 Vranicar, M. A1 Robnik, M. AB The power law 1/ƒ^(α) in the power spectrum characterizes the fluctuating observables of many complex natural systems. Considering the energy levels of a quantum system as a discrete time series where the energy plays the role of time, the level fluctuations can be characterized by the power spectrum. Using a family of quantum billiards, we analyze the order-to-chaos transition in terms of this power spectrum. A power law 1/ƒ^(α) is found at all the transition stages, and it is shown that the exponent alpha is related to the chaotic component of the classical phase space of the quantum system. PB American Physical Society SN 0031-9007 YR 2005 FD 2005 LK https://hdl.handle.net/20.500.14352/51285 UL https://hdl.handle.net/20.500.14352/51285 LA eng NO ©2005 The American Physical Society. This work is supported in part by Spanish Government Grant Nos. BFM2003-04147-C02 and FTN2003-08337-C04-04. This work is also supported by the Ministry of Education, Science and Sports of the Republic of Slovenia. NO Spanish Government NO Ministry of Education, Science and Sports of the Republic of Slovenia DS Docta Complutense RD 21 abr 2025