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Phys. Rev. A 77, 032315 (2008) [9 pages]

Optimization of short coherent control pulses

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S. Pasini, T. Fischer, P. Karbach, and G. S. Uhrig
Lehrstuhl für Theoretische Physik I, Technische Universität Dortmund, Otto-Hahn Strasse 4, 44221 Dortmund, Germany

Received 4 September 2007; revised 11 December 2007; published 7 March 2008

The coherent control of a small quantum system is considered. For a two-level system coupled to an arbitrary bath we consider a pulse of finite duration. We derive the leading and the next-leading order corrections to the evolution operator due to the noncommutation of the pulse and the bath Hamiltonian. The conditions are computed that make the leading corrections vanish. The pulse shapes optimized in this way are given for π and π/2 pulses.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.77.032315
DOI:
10.1103/PhysRevA.77.032315
PACS:
03.67.Lx, 03.67.Pp, 03.65.Yz, 76.60.−k