Artículo
Multifractality of quantum wave functions in the presence of perturbations
Dubertrand, Remy; Garcia-mata, Ignacio
; Georgeot, Bertrand; Giraud, Olivier; Lemarie, Gabriel; Martin, John
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Fecha de publicación:
09/2015
Editorial:
American Physical Society
Revista:
Physical Review E: Statistical, Nonlinear And Soft Matter Physics
ISSN:
1539-3755
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
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Resumen
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.
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Citación
Dubertrand, Remy; Garcia-mata, Ignacio; Georgeot, Bertrand; Giraud, Olivier; Lemarie, Gabriel; et al.; Multifractality of quantum wave functions in the presence of perturbations; American Physical Society; Physical Review E: Statistical, Nonlinear And Soft Matter Physics; 92; 3; 9-2015; 32914-32934
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