1/f noise in the Two-Body Random Ensemble

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

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