Quantum matter offers a spectacular variety of physical phenomena like superfluidity, superconductivity and anomalous transport in low-dimensional electron systems. On the other hand, our understanding of the physical properties of nanoscopic and mesoscopic quantum matter and quantum devices is limited. This is mostly due to the fact that these properties are governed by strong correlations and quantum effects. Therefore, systems that provide well defined geometries and dynamic control parameters are well suited to grant new insights on
Over the last years, one has made rapid progress in the ability to control quantum gases as interacting quantum matter in well defined geometries at ultralow temperatures. On the other hand, mesoscopic systems and devices show in many respects very similar behaviour. Therefore it is our goal to unify the common physics arising in mesoscopic systems and quantum gases to improve our understanding of quantum matter and exploit these abilities to discover new phenomena.