Quantum Chaos and1 / f Noise
Author(s) -
A. Relaño,
José María Gómez Gómez,
Rafael A. Molina,
J. Retamosa,
E. Faleiro
Publication year - 2002
Publication title -
physical review letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.688
H-Index - 673
eISSN - 1079-7114
pISSN - 0031-9007
DOI - 10.1103/physrevlett.89.244102
Subject(s) - conjecture , energy (signal processing) , quantum , series (stratigraphy) , algorithm , computer science , physics , statistical physics , mathematics , discrete mathematics , quantum mechanics , paleontology , biology
The main signature of chaos in a quantum system is provided by spectral statistical analysis of the nearest-neighbor spacing distribution P(s) and the spectral rigidity given by the Delta(3)(L) statistic. It is shown that some standard unfolding procedures, such as local unfolding and Gaussian broadening, lead to a spurious saturation of Delta(3)(L) that spoils the relationship of this statistic with the regular or chaotic motion of the system. This effect can also be misinterpreted as Berry's saturation
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom