1/f alpha noise in spectral fluctuations of quantum systems.
The power law 1/f(alpha) 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/f(alpha) 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.
Gómez
J M G
JM
Departamento de Física Atómica, Molecular y Nuclear, Universidad Complutense de Madrid, E-28040 Madrid, Spain.
Relaño
A
A
Retamosa
J
J
Faleiro
E
E
Salasnich
L
L
Vranicar
M
M
Robnik
M
M
D008954:Models, Biological; D008962:Models, Theoretical; D017711:Nonlinear Dynamics; D011789:Quantum Theory