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APS » Journals » Phys. Rev. A » Volume 58 » Issue 4
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Phys. Rev. A 58, 2684–2689 (1998)

Kinematical bounds on optimization of observables for quantum systems

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M. D. Girardeau
Department of Physics and Institutes of Theoretical Science and Chemical Physics, University of Oregon, Eugene, Oregon 97403

S. G. Schirmer and J. V. Leahy
Department of Mathematics and Institute of Theoretical Science, University of Oregon, Eugene, Oregon 97403

R. M. Koch
Department of Mathematics, University of Oregon, Eugene, Oregon 97403

Received 3 March 1998; published in the issue dated October 1998

Upper and lower kinematical bounds for the expectation values of arbitrary observables of driven quantum systems in mixed states are derived, and criteria for their attainability established. The results are applied to the problem of maximizing the energy of a laser-driven four-level Morse oscillator model for HF, as well as a four-level harmonic-oscillator model.

© 1998 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.58.2684
DOI:
10.1103/PhysRevA.58.2684
PACS:
03.65.Bz, 05.30.-d, 31.70.Hq
 
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