Multifractality and intermediate statistics in quantum maps

[en] We study multifractal properties of wave functions for a one-parameter family of quantum maps displaying the whole range of spectral statistics intermediate between integrable and chaotic statistics. We perform extensive numerical computations and provide analytical arguments showing that the generalized fractal dimensions are directly related to the parameter of the underlying classical map, and thus to other properties such as spectral statistics. Our results could be relevant for Anderson and quantum Hall transitions, where wave functions also show multifractality.

Disciplines :

Physics

Author, co-author :

Martin, John ; Université de Liège - ULiège > Département de physique > Physique des atomes froids

Giraud, O.; Laboratoire de Physique Théorique, Université de Toulouse, UPS, CNRS, 31062 Toulouse France

Georgeot, B.; Laboratoire de Physique Théorique, Université de Toulouse, UPS, CNRS, 31062 Toulouse France

Language :

English

Title :

Multifractality and intermediate statistics in quantum maps

Publication date :

2008

Journal title :

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

ISSN :

1539-3755

eISSN :

1550-2376

Publisher :

American Physical Society, College Park, United States - Maryland

Volume :

Pages :

35201

Peer reviewed :

Peer Reviewed verified by ORBi

Additional URL :

http://adsabs.harvard.edu/abs/2008PhRvE..77c5201M

Commentary :

http://de.arxiv.org/abs/0711.2029

Available on ORBi :

since 30 November 2009

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