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    Fast-kick-off monotonically convergent algorithm for searching optimal control fields

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    Chu_Fast-Kick-Off_2011.pdf (297.5Kb)
    Issue Date
    2011-09-07
    Author
    Liao, Sheng-Lun
    Ho, Tak-San
    Chu, Shih-I
    Rabitz, Herschel
    Publisher
    American Physical Society
    Type
    Article
    Article Version
    Scholarly/refereed, publisher version
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    Abstract
    This Rapid Communication presents a fast-kick-off search algorithm for quickly finding optimal control fields in the state-to-state transition probability control problems, especially those with poorly chosen initial control fields. The algorithm is based on a recently formulated monotonically convergent scheme [T.-S. Ho and H. Rabitz, Phys. Rev. E 82, 026703 (2010)]. Specifically, the local temporal refinement of the control field at each iteration is weighted by a fractional inverse power of the instantaneous overlap of the backward-propagating wave function, associated with the target state and the control field from the previous iteration, and the forward-propagating wave function, associated with the initial state and the concurrently refining control field. Extensive numerical simulations for controls of vibrational transitions and ultrafast electron tunneling show that the new algorithm not only greatly improves the search efficiency but also is able to attain good monotonic convergence quality when further frequency constraints are required. The algorithm is particularly effective when the corresponding control dynamics involves a large number of energy levels or ultrashort control pulses.
    Description
    This is the published version, also available here: http://dx.doi.org/10.1103/PhysRevA.84.031401.
    URI
    http://hdl.handle.net/1808/16207
    DOI
    https://doi.org/10.1103/PhysRevA.84.031401
    Collections
    • Chemistry Scholarly Works [610]
    Citation
    Liao, Sheng-Lun., Ho, Tak-San., Chu, Shih-I., Rabitz, Herschel. "Fast-kick-off monotonically convergent algorithm for searching optimal control fields." Phys. Rev. A 84, 031401(R) – Published 7 September 2011. http://dx.doi.org/10.1103/PhysRevA.84.031401.

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    Contact KU ScholarWorks
    785-864-8983
    KU Libraries
    1425 Jayhawk Blvd
    Lawrence, KS 66045
    785-864-8983

    KU Libraries
    1425 Jayhawk Blvd
    Lawrence, KS 66045
    Image Credits
     

     

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