Year: 2015
Type: article
Abstract: We present a comprehensive study of the destruction of quantum multifractality in the presence of perturbations. We study diverse representative models displaying multifractality, including a pseudointegrable system, the Anderson model, and a random matrix model. We apply several types of natural perturbations which can be relevant for experimental implementations. We construct an analytical theory for certain cases and perform extensive large-scale numerical simulations in other cases. The data are analyzed through refined methods including double scaling analysis. Our results confirm the recent conjecture that multifractality breaks down following two scenarios. In the first one, multifractality is preserved unchanged below a certain characteristic length which decreases with perturbation strength. In the second one, multifractality is affected at all scales and disappears uniformly for a strong-enough perturbation. Our refined analysis shows that subtle variants of these scenarios can be present in certain cases. This study could guide experimental implementations in order to observe quantum multifractality in real systems.
Source: Physical Review E
Authors: R. Dubertrand, I. García-Mata, B. Georgeot, O. Giraud, G. Lemarié, J. Martin
Institutions: Centre National de la Recherche Scientifique, Université Toulouse III - Paul Sabatier, University of Liège, Laboratoire de Physique Théorique, Institut de Recherche sur les Systèmes Atomiques et Moléculaires Complexes, Université de Toulouse, Consejo Nacional de Investigaciones Científicas y Técnicas, National University of Mar del Plata, Instituto de Investigaciones Físicas de Mar del Plata, Université Paris-Sud, Université Paris-Saclay, Laboratoire de Physique Théorique et Modèles Statistiques
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: bronze
Awards: Nano, EXtreme Measurements & Theory, G2401935634, G2532370486, G3371039136, G353390944, Generalized kicked-rotor Anderson quantum phase transitions experiment with a potassium Bose-Einstein condensate, G4866930200, Université Fédérale de Toulouse, G5261993341, G7240651115, G7664062879, G7851059616, G8610652331
OpenAlex ID: W1803181760