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Dynamic Dimensionality Identification for Quantum Control

Author(s): Roslund, Jonathan; Rabitz, Herschel

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dc.contributor.authorRoslund, Jonathan-
dc.contributor.authorRabitz, Herschel-
dc.date.accessioned2020-10-30T18:35:21Z-
dc.date.available2020-10-30T18:35:21Z-
dc.date.issued2014-04-07en_US
dc.identifier.citationRoslund, Jonathan, Rabitz, Herschel. (2014). Dynamic Dimensionality Identification for Quantum Control. PHYSICAL REVIEW LETTERS, 112 (10.1103/PhysRevLett.112.143001en_US
dc.identifier.issn0031-9007-
dc.identifier.urihttp://arks.princeton.edu/ark:/88435/pr1pn7q-
dc.description.abstractThe control of quantum systems with shaped laser pulses presents a paradox since the relative ease with which solutions are discovered appears incompatible with the enormous variety of pulse shapes accessible with a standard pulse shaper. Quantum landscape theory indicates that the relevant search dimensionality is not dictated by the number of pulse shaper elements, but rather is related to the number of states participating in the controlled dynamics. The actual dimensionality is encoded within the sensitivity of the observed yield to all of the pulse shaper elements. To investigate this proposition, the Hessian matrix is measured for controlled transitions amongst states of atomic rubidium, and its eigendecomposition reveals a dimensionality consistent with that predicted by landscape theory. Additionally, this methodology furnishes a low-dimensional picture that captures the essence of the light-matter interaction and the ensuing system dynamics.en_US
dc.format.extent143001-1 - 143001-5en_US
dc.language.isoen_USen_US
dc.relation.ispartofPHYSICAL REVIEW LETTERSen_US
dc.rightsFinal published version. Article is made available in OAR by the publisher's permission or policy.en_US
dc.titleDynamic Dimensionality Identification for Quantum Controlen_US
dc.typeJournal Articleen_US
dc.identifier.doidoi:10.1103/PhysRevLett.112.143001-
dc.identifier.eissn1079-7114-
pu.type.symplectichttp://www.symplectic.co.uk/publications/atom-terms/1.0/journal-articleen_US

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