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1/f noise in the Two-Body Random Ensemble

A. Relano·R. A. Molina·J. Retamosa
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Abstract

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 αin the 1/f^α noise for the individual members of the ensemble. Almost all the exponents lie inside a narrow interval around α=1 suggesting that also individual members exhibit 1/f noise, provided they are individually unfolded

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A. Relano, R. A. Molina, J. Retamosa. 2004-05-07. 1/f noise in the Two-Body Random Ensemble. https://doi.org/10.1103/physreve.70.017201

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