We have recently demonstrated [1] that the fundamental model of molecular electron transfer reactions can be faithfully mapped on an ion trap platform. The exquisite tunability of model parameters as offered by such highly controlled experimental environments allows to explore parameter regimes hardly accessible with real molecular samples, and to monitor continuous transitions between distinct, classical or deeply quantum transport mechanisms. In the sense that the ion trap set-up allows to realize physical scenarios which are not accessible in real samples, this is a bona fide example of quantum simulation. The PhD student will generalize our theoretical approach to simulate electron transfer across more intricate, potentially multiply connected potential landscapes. This will combine quantum engineering proper, to transcribe transport phenomena in the formalism of ion trap quantum optics, with aspects of quantum control – to guarantee, e.g., optimal transport properties with respect to some target features – and certification – i.e., the benchmarking of some target properties of the implementation in the presence of undesired perturbations and/or noise. *( A. Buchleitner, M. Thoss, T. Schätz, R. Krems)*

[1] Schlawin et al., Phys. Rev. X Quantum 2, 010314 (2021)