A note on the switching adiabatic theorem

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dc.contributorVirginia Techen
dc.contributor.authorElgart, Alexanderen
dc.contributor.authorHagedorn, George A.en
dc.contributor.departmentMathematicsen
dc.date.accessed2014-01-25en
dc.date.accessioned2014-01-23T13:49:07Zen
dc.date.available2014-01-23T13:49:07Zen
dc.date.issued2012-10en
dc.description.abstractWe derive a nearly optimal upper bound on the running time in the adiabatic theorem for a switching family of Hamiltonians. We assume the switching Hamiltonian is in the Gevrey class G(alpha) as a function of time, and we show that the error in adiabatic approximation remains small for running times of order g(-2) vertical bar ln g vertical bar(6 alpha). Here g denotes the minimal spectral gap between the eigenvalue(s) of interest and the rest of the spectrum of the instantaneous Hamiltonian. (C) 2012 American Institute of Physics. [http://dx.doi.org/10.1063/1.4748968]en
dc.description.sponsorshipNational Science Foundation DMS-0907165, DMS-1210982en
dc.identifier.citationElgart, Alexander; Hagedorn, George A., "A note on the switching adiabatic theorem," J. Math. Phys. 53, 102202 (2012); http://dx.doi.org/10.1063/1.4748968en
dc.identifier.doihttps://doi.org/10.1063/1.4748968en
dc.identifier.issn0022-2488en
dc.identifier.urihttp://hdl.handle.net/10919/25118en
dc.identifier.urlhttp://scitation.aip.org/content/aip/journal/jmp/53/10/10.1063/1.4748968en
dc.language.isoen_USen
dc.publisherAIP Publishingen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectevolutionen
dc.subjectformulaen
dc.titleA note on the switching adiabatic theoremen
dc.title.serialJournal of Mathematical Physicsen
dc.typeArticle - Refereeden

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