[en] We study the multifractality of individual wave packets in a periodically kicked system through a combination of numerical and analytical works. We consider a version of the mathematical Ruijsenaars-Schneider model and reinterpreted it physically in order to describe the spreading with time of quantum wave packets in a system where multifractality can be tuned by varying a parameter [1]. We compare different methods to measure the multifractality of wave packets and identify the best one. We find the multifractality to decrease with time until it reaches an asymptotic limit, which is different from the multifractality of eigenvectors but related to it, as is the rate of the decrease. Our results could guide the study of experimental situations where multifractality is present in quantum systems.
Disciplines :
Physics
Author, co-author :
Martin, John ; Université de Liège - ULiège > Département de physique > Optique quantique
Garcia-Mata, Ignacio; Instituto de Investigaciones Físicas de Mar del Plata, CONICET-UNMdP, Funes 3350, B7602AYL Mar del Plata, Argentina
Giraud, Olivier; LPTMS, CNRS and Université Paris-Sud, UMR 8626, Bât. 100, 91405 Orsay, France
Georgeot, Bertrand; CNRS, Université de Toulouse, UPS, Laboratoire de Physique Théorique (IRSAMC), 31062 Toulouse, France
Language :
English
Title :
Multifractality of quantum wave functions
Publication date :
19 March 2013
Event name :
Annual Meeting of the German Physical Society
Event place :
Hannover, Germany
Event date :
from 18-03-2013 to 22-03-2013
Audience :
International
Tags :
CÉCI : Consortium des Équipements de Calcul Intensif
Funders :
CÉCI - Consortium des Équipements de Calcul Intensif [BE]
