Colored Noise in Quantum Chaos

Abstract

We derive a set of spectral statistics whose power spectrum is characterized, in the case of chaotic quantum systems, by colored noise $1/f^{\gamma }$, where the integer parameter $\gamma$ critically depends on the specific energy-level statistic considered. In the case of regular quantum systems these spectral statistics show $1/f^{\gamma +1}$ noise.

3 pages, 2 figures, accepted for publication in Phys. Rev. E

References in corpus (2)

• Theoretical derivation of 1/f noise in quantum chaos
• $1/f^{\alpha }$ Noise in Spectral Fluctuations of Quantum Systems

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