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Invariant-based inverse engineering of time-dependent, coupled harmonic oscillators

dc.contributor.authorTobalina Novo, Ander ORCID
dc.contributor.authorTorrontegui, E.
dc.contributor.authorLizuain Lilly, Ion
dc.contributor.authorPalmero Lazcoz, Mikel
dc.contributor.authorMuga Francisco, Juan Gonzalo
dc.date.accessioned2024-02-05T08:51:16Z
dc.date.available2024-02-05T08:51:16Z
dc.date.issued2020-12-14
dc.identifier.citationPhysical Review A 102 : (2020) // Art.ID 063112es_ES
dc.identifier.issn2469-9934
dc.identifier.issn2469-9926
dc.identifier.urihttp://hdl.handle.net/10810/64623
dc.description.abstractTwo-dimensional (2D) systems with time-dependent controls admit a quadratic Hamiltonian modeling near potential minima. Independent, dynamical normal modes facilitate inverse Hamiltonian engineering to control the system dynamics, but some systems are not separable into independent modes by a point transformation. For these “coupled systems” 2D invariants may still guide the Hamiltonian design. The theory to perform the inversion and two application examples are provided: (i) We control the deflection of wave packets in transversally harmonic wave guides and (ii) we design the state transfer from one coupled oscillator to another.es_ES
dc.description.sponsorshipThis work was supported by the Basque Country Government (Grant No. IT986-16), and by PGC2018-101355-B-I00 (MCIU/AEI/FEDER,UE). E.T. acknowledges support from PGC2018-094792-B-I00 (MCIU/AEI/FEDER,UE), CSIC Research Platform PTI-001, and CAM/FEDER No. S2018/TCS- 4342 (QUITEMAD-CM).es_ES
dc.language.isoenges_ES
dc.publisherAmerican Physical Societyes_ES
dc.relationinfo:eu-repo/grantAgreement/MICIU/PGC2018-101355-B-I00es_ES
dc.relationinfo:eu-repo/grantAgreement/MICIU/PGC2018-094792-B-I00es_ES
dc.rightsinfo:eu-repo/semantics/openAccesses_ES
dc.rights.urihttp://creativecommons.org/licenses/by/3.0/es/*
dc.subjectquantum controles_ES
dc.subjectquantum technologieses_ES
dc.subjectshortcuts to adiabaticityes_ES
dc.titleInvariant-based inverse engineering of time-dependent, coupled harmonic oscillatorses_ES
dc.typeinfo:eu-repo/semantics/articlees_ES
dc.rights.holderPublished by the American Physical Society under the terms of the Creative Commons Attributiones_ES
dc.relation.publisherversionhttps://doi.org/10.1103/PhysRevA.102.063112es_ES
dc.relation.publisherversionhttps://journals.aps.org/pra/pdf/10.1103/PhysRevA.102.063112es_ES
dc.identifier.doi10.1103/PhysRevA.102.063112
dc.departamentoesMatemática aplicadaes_ES
dc.departamentoesQuímica físicaes_ES
dc.departamentoeuKimika fisikoaes_ES
dc.departamentoeuMatematika aplikatuaes_ES


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Published by the American Physical Society under the terms of the Creative Commons Attribution
Except where otherwise noted, this item's license is described as Published by the American Physical Society under the terms of the Creative Commons Attribution