Hamiltonian engineering via invariants and dynamical algebra

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dc.contributor.author Torrontegui Muñoz, Erik
dc.contributor.author Martínez Garaot, S.
dc.contributor.author Muga, J. G.
dc.date.accessioned 2021-03-15T10:00:27Z
dc.date.available 2021-03-15T10:00:27Z
dc.date.issued 2014-04-14
dc.identifier.bibliographicCitation Physical Review A, (2014), 89(4), 043408.
dc.identifier.issn 1050-2947
dc.identifier.uri http://hdl.handle.net/10016/32134
dc.description.abstract We use the dynamical algebra of a quantum system and its dynamical invariants to inverse engineer feasible Hamiltonians for implementing shortcuts to adiabaticity. These are speeded up processes that end up with the same populations as slow, adiabatic ones. As application examples, we design families of shortcut Hamiltonians that drive two- and three-level systems between initial and final configurations, imposing physically motivated constraints on the terms (generators) allowed in the Hamiltonian.
dc.description.sponsorship We are grateful to K. Takahashi and R. Kosloff for stimulating discussions. We acknowledge funding by Grants No. IT472-10 and No. FIS2009-12773-C02-01, and theUPV/EHU Program No. UFI 11/55. E.T. is supported by the Basque Government postdoctoral program. S.M.-G. acknowledges support from a UPV/EHU fellowship.
dc.format.extent 8
dc.language.iso eng
dc.publisher American Physical Society
dc.rights ©2014 American Physical Society.
dc.subject.other Dynamical algebra
dc.subject.other Shortcuts to adiabaticity
dc.subject.other Dynamical invariants
dc.subject.other Hamiltonian formulation
dc.title Hamiltonian engineering via invariants and dynamical algebra
dc.type article
dc.description.status Publicado
dc.subject.eciencia Física
dc.identifier.doi http://dx.doi.org/10.1103/PhysRevA.89.043408
dc.rights.accessRights openAccess
dc.type.version publishedVersion
dc.identifier.publicationfirstpage 1
dc.identifier.publicationissue 4(043408)
dc.identifier.publicationlastpage 8
dc.identifier.publicationtitle PHYSICAL REVIEW A
dc.identifier.publicationvolume 89
dc.identifier.uxxi AR/0000026557
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