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Dynamic Dimensionality Identification for Quantum Control

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

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Abstract: The 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.
Publication Date: 7-Apr-2014
Citation: Roslund, Jonathan, Rabitz, Herschel. (2014). Dynamic Dimensionality Identification for Quantum Control. PHYSICAL REVIEW LETTERS, 112 (10.1103/PhysRevLett.112.143001
DOI: doi:10.1103/PhysRevLett.112.143001
ISSN: 0031-9007
EISSN: 1079-7114
Pages: 143001-1 - 143001-5
Type of Material: Journal Article
Journal/Proceeding Title: PHYSICAL REVIEW LETTERS
Version: Final published version. Article is made available in OAR by the publisher's permission or policy.

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