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Lewis-Riesenfeld invariants and transitionless quantum driving

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dc.affiliation.dptoUC3M. Departamento de Físicaes
dc.affiliation.grupoinvUC3M. Grupo de Investigación: Materiales Nano-Estructurados y Multifuncionaleses
dc.contributor.authorChen, Xi
dc.contributor.authorTorrontegui Muñoz, Erik
dc.contributor.authorMuga, Juan Gonzalo
dc.date.accessioned2021-03-18T11:33:55Z
dc.date.available2021-03-18T11:33:55Z
dc.date.issued2011-06
dc.description.abstractDifferent methods have been recently put forward and implemented experimentally to inverse engineer the time-dependent Hamiltonian of a quantum system and accelerate slow adiabatic processes via nonadiabatic shortcuts. In the "transitionless quantum driving" proposed by Berry, shortcut Hamiltonians are designed so that the system follows exactly, in an arbitrarily short time, the approximate adiabatic path defined by a reference Hamiltonian. A different approach is based on first designing a Lewis-Riesenfeld invariant to carry the eigenstates of a Hamiltonian from specified initial to final configurations, again in an arbitrary time, and then constructing from the invariant the transient Hamiltonian that connects these boundary configurations. We show that the two approaches, apparently quite different in form and so far in results, are, in fact, strongly related and potentially equivalent, so that the inverse-engineering operations in one of them can be reinterpreted and understood in terms of the concepts and operations of the other one. We study, as explicit examples, expansions of time-dependent harmonic traps and the state preparation of two-level systems.en
dc.description.sponsorshipWe thank M. Berry for commenting on the manuscript. This work was supported by the Basque Government (Grant No. IT 472-10), Ministerio de Ciencia e Innovación(Grant No. FIS2009-12773-C02-01), Juan de la Cierva Programme, the National Natural Science Foundation of China (Grant No. 60806041), and the Shanghai Leading Academic Discipline Program (Grant No. S30105). E.T. acknowledges support from the Basque Government (Grant No. BFI08.151).en
dc.format.extent8
dc.identifier.bibliographicCitationChen, X., Torrontegui, E., Muga, J. G. (2011). Lewis-Riesenfeld invariants and transitionless quantum driving. Physical Review A, 83(6).en
dc.identifier.doihttp://dx.doi.org/10.1103/PhysRevA.83.062116
dc.identifier.issn1050-2947
dc.identifier.publicationfirstpage062116-1
dc.identifier.publicationissue6
dc.identifier.publicationlastpage062116-8
dc.identifier.publicationtitlePhysical Review Aen
dc.identifier.publicationvolume83
dc.identifier.urihttps://hdl.handle.net/10016/32182
dc.identifier.uxxiAR/0000026572
dc.language.isoeng
dc.publisherAmerican Physical Societyen
dc.rights©2011 American Physical Societyen
dc.rights.accessRightsopen access
dc.subject.ecienciaFísicaes
dc.titleLewis-Riesenfeld invariants and transitionless quantum drivingen
dc.typeresearch article*
dc.type.hasVersionVoR*
dspace.entity.typePublication
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