1/f(α) Noise and integrable systems
In this paper, we show that there is a family of well-known integrable systems whose spectral fluctuations decay as 1/ f^ 4, and thus do not follow the 1/ f ^2 law recently conjectured for integrable systems. We present a simple theoretical justification of this fact, and propose an alternative char...
| Authors: | , , , |
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| Format: | article |
| Publication Date: | 2009 |
| Country: | España |
| Institution: | Universidad Complutense de Madrid (UCM) |
| Repository: | Docta Complutense |
| Language: | English |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/44691 |
| Online Access: | https://hdl.handle.net/20.500.14352/44691 |
| Access Level: | Open access |
| Keyword: | 51-73 f noise Chaos Fluctuations Quantum theory Haldane-Shastry Type Spin chain BCN Type Statistics Spectrum Física-Modelos matemáticos Física matemática |
| Summary: | In this paper, we show that there is a family of well-known integrable systems whose spectral fluctuations decay as 1/ f^ 4, and thus do not follow the 1/ f ^2 law recently conjectured for integrable systems. We present a simple theoretical justification of this fact, and propose an alternative characterization of quantum chaos versus integrability formulated directly in terms of the power spectrum of the spacings of the unfolded spectrum. |
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