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dc.contributor.author
Dubertrand, Remy
dc.contributor.author
Garcia-mata, Ignacio
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dc.contributor.author
Georgeot, Bertrand
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Giraud, Olivier
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Lemarie, Gabriel
dc.contributor.author
Martin, John
dc.date.available
2016-11-15T19:21:40Z
dc.date.issued
2015-09
dc.identifier.citation
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
dc.identifier.issn
1539-3755
dc.identifier.uri
http://hdl.handle.net/11336/8244
dc.description.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.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
American Physical Society
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dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Localizacion
dc.subject
Cuantica
dc.subject.classification
Otras Ciencias Físicas
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dc.subject.classification
Ciencias Físicas
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dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
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dc.title
Multifractality of quantum wave functions in the presence of perturbations
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2016-11-14T19:31:36Z
dc.journal.volume
92
dc.journal.number
3
dc.journal.pagination
32914-32934
dc.journal.pais
Estados Unidos
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dc.journal.ciudad
Nueva York
dc.description.fil
Fil: Dubertrand, Remy. Universite de Liege; Bélgica. Universite de Toulose - Le Mirail; Francia. Centre National de la Recherche Scientifique; Francia
dc.description.fil
Fil: Garcia-mata, Ignacio. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Mar del Plata. Instituto de Investigaciones Físicas de Mar del Plata; Argentina
dc.description.fil
Fil: Georgeot, Bertrand. Universitá Paul Sabatier; Francia. Centre National de la Recherche Scientifique; Francia
dc.description.fil
Fil: Giraud, Olivier. Universite Paris Sud; Francia
dc.description.fil
Fil: Lemarie, Gabriel. Universitá Paul Sabatier; Francia. Centre National de la Recherche Scientifique; Francia
dc.description.fil
Fil: Martin, John. Universite de Liege; Bélgica
dc.journal.title
Physical Review E: Statistical, Nonlinear And Soft Matter Physics
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dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://journals.aps.org/pre/abstract/10.1103/PhysRevE.92.032914
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/https://doi.org/10.1103/PhysRevE.92.032914
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