arXiv:nlin/0405013·v1·nlin.CD
1/f noise in the Two-Body Random Ensemble
A. Relano (1) · R. A. Molina (2) · J. Retamosa (1) ((1) Departamento de Fisica Atomica, Molecular y Nuclear, Universidad Complutense de Madrid, (2) CEA/DSM, Service de Physique de l'Etat Condensé)
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 \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
Comments: 4 pages, 3 figures, Accepted for publication in Phys. Rev. E