DC FieldValueLanguage
dc.contributor.authorManela, Ofer-
dc.contributor.authorSegev, Mordechai-
dc.contributor.authorChristodoulides, Demetrios N.-
dc.contributor.authorKip, Detlef-
dc.date.accessioned2021-12-28T08:07:10Z-
dc.date.available2021-12-28T08:07:10Z-
dc.date.issued2010-05-
dc.identifier.issn13672630-
dc.description.abstractThe ubiquitous Hofstadter butterfly describes a variety of systems characterized by incommensurable periodicities, ranging from Bloch electrons in magnetic fields and the quantum Hall effect to cold atoms in optical lattices and more. Here, we introduce nonlinearity into the underlying (Harper) model and study the nonlinear spectra and the corresponding extended eigenmodes of nonlinear quasiperiodic systems. We show that the spectra of the nonlinear eigenmodes form deformed versions of the Hofstadter butterfly and demonstrate that the modes can be classified into two families: nonlinear modes that are a 'continuation' of the linear modes of the system and new nonlinear modes that have no counterparts in the linear spectrum. Finally, we propose an optical realization of the linear and nonlinear Harper models in transversely modulated waveguide arrays, where these Hofstadter butterflies can be observed. This work is relevant to a variety of other branches of physics beyond optics, such as disorder-induced localization in ultracold bosonic gases, localization transition processes in disordered lattices, and more. © IOP Publishing Ltd and Deutsche Physikalische Gesellschaft.de_DE
dc.description.sponsorshipExperimentalphysik und Materialwissenschaftende_DE
dc.language.isoende_DE
dc.publisherDt. Physikalische Ges.de_DE
dc.relation.ispartofNew journal of physics : the open-access journal for physicsde_DE
dc.subject.ddcDDC::500 Naturwissenschaften und Mathematikde_DE
dc.titleHofstadter butterflies in nonlinear Harper lattices, and their optical realizationsde_DE
dc.typeArticlede_DE
dc.identifier.doi10.1088/1367-2630/12/5/053017-
dc.identifier.scopus2-s2.0-77952722097-
dcterms.bibliographicCitation.volume12de_DE
dcterms.bibliographicCitation.originalpublisherplace[Bad Honnef]de_DE
dcterms.bibliographicCitation.articlenumber053017de_DE
dc.relation.pages9 S.de_DE
dc.identifier.urlhttps://api.elsevier.com/content/abstract/scopus_id/77952722097-
local.submission.typeonly-metadatade_DE
item.grantfulltextnone-
item.fulltext_sNo Fulltext-
item.languageiso639-1en-
item.fulltextNo Fulltext-
item.openairetypeArticle-
crisitem.author.deptExperimentalphysik und Materialwissenschaften-
crisitem.author.deptDekanat Elektrotechnik-
crisitem.author.deptFakultät für Elektrotechnik-
crisitem.author.orcid0000-0001-7923-0113-
crisitem.author.parentorgFakultät für Elektrotechnik-
crisitem.author.parentorgFakultät für Elektrotechnik-
crisitem.author.parentorgFakultäten-
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