Quantum control with intense X-ray pulses: A theoretical approach

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The goal of this project is to extend optimal control to the X-ray regime, i.e., beyond the well established coherent control schemes based on near infrared laser pulses. Pulses in this new regime have typically bandwidths, available for pulse shaping, which are much smaller than the carrier frequency. It will be explored if and how optimal control can be made possible under these conditions. The theoretical investigations will be based on the so-called envelope Hamiltonian. This Hamiltonian separates the effect of the oscillations of the electric field with the carrier frequency from the effect of the envelope of the laser pulse. Thereby, it directly takes advantage of the aforementioned characteristic difference of bandwidth and carrier frequency in the high-frequency domain.After formulating the envelope Hamiltonian for high frequencies the most suitable control scheme in connection with the envelope Hamiltonian have to be identified and implemented numerically. In order to gain insight into the optimal control mechanisms the dynamics will be described in terms of a perturbation theory. It remains to be studied whether the perturbative approach can be directly used for optimal control. Whereas most of these studies will be done for test cases, ultimately the performance of the X-ray optimal control has to be applied to realistic systems, to be identified.