Hamiltonian engineering via invariants and dynamical algebra

Torrontegui Muñoz, Erik; Martínez Garaot, S.; Muga, J. G.

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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