Shortcuts to adiabaticity in three-level systems using Lie transforms

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Show simple item record Martínez-Garaot, Sofía Torrontegui Muñoz, Erik Chen, Xi Muga, Juan Gonzalo 2021-03-15T09:32:13Z 2021-03-15T09:32:13Z 2014-05
dc.identifier.bibliographicCitation Martínez-Garaot, S., Torrontegui, E., Chen, X. y Muga, J. G. (2014). Shortcuts to adiabaticity in three-level systems using Lie transforms. Physical Review A, 89(5).
dc.identifier.issn 1050-2947
dc.description.abstract Sped-up protocols that drive a system quickly to the same populations that can be reached by a slow adiabatic process may involve Hamiltonian terms which are difficult to realize. We use the dynamical symmetry of the Hamiltonian to find, by means of Lie transforms, alternative Hamiltonians that achieve the same goals without the problematic terms. We apply this technique to three-level systems (two interacting bosons in a double well, and beam splitters with two and three output channels) driven by Hamiltonians that belong to the four-dimensional algebra U3S3.
dc.description.sponsorship This work was supported by the National Natural Science Foundation of China (Grant No. 61176118), Grants No. 12QH1400800, No. IT472-10, No. BFI-2010-255, No. 13PJ1403000, and No. FIS2012-36673-C03-01, and the program UFI 11/55. S.M.-G. acknowledges support by a fellowship from UPV/EHU. E.T. is supported by the Basque Government postdoctoral program.
dc.format.extent 8
dc.language.iso eng
dc.publisher American Physical Society
dc.rights ©2014 American Physical Society
dc.title Shortcuts to adiabaticity in three-level systems using Lie transforms
dc.type article
dc.subject.eciencia Física
dc.rights.accessRights openAccess
dc.type.version publishedVersion
dc.identifier.publicationfirstpage 053408-1
dc.identifier.publicationissue 5
dc.identifier.publicationlastpage 053408-8
dc.identifier.publicationtitle Physical Review A
dc.identifier.publicationvolume 89
dc.identifier.uxxi AR/0000026556
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