Anderson localization for quasi-periodic CMV matrices and quantum walks

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dc.citation.firstpage1978
dc.citation.issueNumber6
dc.citation.journalTitleJournal of Functional Analysis
dc.citation.lastpage2006
dc.citation.volumeNumber276
dc.contributor.authorWang, Fengpeng
dc.contributor.authorDamanik, David
dc.date.accessioned2019-08-21T19:16:16Z
dc.date.available2019-08-21T19:16:16Z
dc.date.issued2019
dc.description.abstractWe consider CMV matrices, both standard and extended, with analytic quasi-periodic Verblunsky coefficients and prove Anderson localization in the regime of positive Lyapunov exponents. This establishes the CMV analog of a result Bourgain and Goldstein proved for discrete one-dimensional Schrödinger operators. We also prove a similar result for quantum walks on the integer lattice with suitable analytic quasi-periodic coins.
dc.identifier.citationWang, Fengpeng and Damanik, David. "Anderson localization for quasi-periodic CMV matrices and quantum walks." <i>Journal of Functional Analysis,</i> 276, no. 6 (2019) Elsevier: 1978-2006. https://doi.org/10.1016/j.jfa.2018.10.016.
dc.identifier.doihttps://doi.org/10.1016/j.jfa.2018.10.016
dc.identifier.urihttps://hdl.handle.net/1911/106273
dc.language.isoeng
dc.publisherElsevier
dc.rightsThis is an author's peer-reviewed final manuscript, as accepted by the publisher. The published article is copyrighted by Elsevier.
dc.subject.keywordCMV matrices
dc.subject.keywordQuasi-periodic coefficients
dc.subject.keywordAnderson localization
dc.subject.keywordQuantum walks
dc.titleAnderson localization for quasi-periodic CMV matrices and quantum walks
dc.typeJournal article
dc.type.dcmiText
dc.type.publicationpre-print
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