Optimization of Short Coherent Control Pulses

Details Optimization of Short Coherent Control Pulses Optimization of Short Coherent Control Pulses

2007-09-05

arxiv.org/abs/0709.0588v2

Physical Review A 77, 032315 (2008)

Physics

Quantum Physics

9 pages, 6 figures; published version

Scientific paper

10.1103/PhysRevA.77.032315

The coherent control of 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 non-commutation 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 $\pi$ and $\frac{\pi}{2}$ pulses.

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