Our research consists of several projects that deal with theoretically investigating ideas and concepts of quantum information and quantum engineering in synthetic and naturally occurring quantum systems. Our favourite systems are taken from the area of ultracold atomic gases, but also include solid-state nano-structures, nano-optical devices and even biological systems. Ultracold atomic gases are experimentally very advanced and allow for a high level of control, while at the same time they are often accessible to detailed theoretical treatment. Combining ideas from quantum information with highly accessible quantum mechanical systems has in recent years led to a large amount of insight into fundamental physical processes and driven forward the development of quantum technologies as well as the fundamental understanding of quantum mechanics.