Berlin 2008 – scientific programme
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TT: Fachverband Tiefe Temperaturen
TT 22: Transport: Poster Session
TT 22.25: Poster
Wednesday, February 27, 2008, 14:00–18:00, Poster B
Numerical analysis of shaped coherent pulses — •Peter Karbach, Stefano Pasini, Götz S. Uhrig, and Joachim Stolze — TU Dortmund - Theoretische Physik I
Recently we presented analytical results on the optimization of coherent pulse shapes based on the Magnus-expansion (arXiv:0709.0588, submitted to PRA). The expansion parameter is the pulse duration τp. The coefficients for the linear and the quadratic order have been obtained. Depending on the pulse shapes certain coefficients vanish and the resulting pulses are better suited than the plain pulses (i.e. with constant amplitude) for the coherent control of small quantum systems in general and for single quantum bits in particular.
These analytical results are tested numerically for the proposed piecewise-constant pulses in different coupling geometries. It is confirmed that the analytical calculations are valid for a large parameter range (coupling constants, number of spins in the bath).
The numerical results are presented and the limitations of the analytical findings are discussed.