1/f noise in the Two-Body Random Ensemble

Details 1/f noise in the Two-Body Random Ensemble 1/f noise in the Two-Body Random Ensemble

2004-05-07

arxiv.org/abs/nlin/0405013v1

Phys.Rev.E70:017201,2004

Nonlinear Sciences

Chaotic Dynamics

4 pages, 3 figures, Accepted for publication in Phys. Rev. E

Scientific paper

10.1103/PhysRevE.70.017201

We show that the spectral fluctuations of the Two-Body Random Ensemble (TBRE) exhibit 1/f noise. This result supports a recent conjecture stating that chaotic quantum systems are characterized by 1/f noise in their energy level fluctuations. After suitable individual averaging, we also study the distribution of the exponent \alpha in the 1/f^{\alpha} noise for the individual members of the ensemble. Almost all the exponents lie inside a narrow interval around \alpha=1 suggesting that also individual members exhibit 1/f noise, provided they are individually unfolded

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