Monotonically convergent optimal control theory of quantum systems with spectral constraintson the control field

摘要

We propose a monotonically convergent algorithm which can enforce spectral constraints on the control field(and extends to arbitrary filters). The procedure differs from standard algorithms in that at each iteration, thecontrol field is taken as a linear combination of the control field (computed by the standard algorithm) and thefiltered field. The parameter of the linear combination is chosen to respect the monotonic behavior of thealgorithm and to be as close to the filtered field as possible. We test the efficiency of this method on molecularalignment. Using bandpass filters, we show how to select particular rotational transitions to reach high align-ment efficiency. We also consider spectral constraints corresponding to experimental conditions using pulse-shaping techniques. We determine an optimal solution that could be implemented experimentally with thistechnique.