Seminarium "Modeling of Complex Systems"

Hybrid systems of ultracold atoms and trapped ions or Rydberg atoms can be useful for quantum simulationpurposes. By tuning the geometric arrangement of the impurities, it is possible to mimic solid-state and molecularsystems. Here, we study a single trapped atom interacting with a set of arbitrarily arranged static impurities andshow that the problem admits an analytical solution. We analyze in detail the case of two impurities, findingmultiple trap-induced resonances which can be used for entanglement generation. Our results serve as a buildingblock for the studies of quantum dynamics of complex systems.