1/f noise in the two-body random ensemble

We show that the spectral fluctuations of the two-body random ensemble 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 distributi...

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Bibliographic Details
Authors: Relaño Pérez, Armando, Molina, R. A., Retamosa Granado, Joaquín
Format: article
Publication Date:2004
Country:España
Institution:Universidad Complutense de Madrid (UCM)
Repository:Docta Complutense
Language:English
OAI Identifier:oai:docta.ucm.es:20.500.14352/51290
Online Access:https://hdl.handle.net/20.500.14352/51290
Access Level:Open access
Keyword:536
Particle-Systems
Spectrum
Termodinámica
2213 Termodinámica
Description
Summary:We show that the spectral fluctuations of the two-body random ensemble 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.