$1/f^α$ Noise in Spectral Fluctuations of Quantum Systems

Details $1/f^α$ Noise in Spectral Fluctuations of Quantum Systems $1/f^α$ Noise in Spectral Fluctuations of Quantum Systems

2005-02-04

arxiv.org/abs/cond-mat/0502130v1

Phys. Rev. Lett. 94, 084101 (2005)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 5 figures, accepted for publication in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.94.084101

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.

Affiliated with

Also associated with

No associations

Rating

$1/f^α$ Noise in Spectral Fluctuations of Quantum Systems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with $1/f^α$ Noise in Spectral Fluctuations of Quantum Systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and $1/f^α$ Noise in Spectral Fluctuations of Quantum Systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-527899