Quantum tunnelling is an intriguing phenomenon arising in a multitude of physical contexts. New experiments in systems as wide ranging as superdeformed nuclei, Bose-Einstein condensed gases, and nanomagnetic systems are spurring theoretical studies into the fundamental nature of tunnelling. In this volume, the articles include: (i) tunnelling out of a metastable state, (ii) coherence between two wells in tunnelling contact, (iii) the consequences of the nature of the underlying dynamics (i.e. regular motion, chaos or some mixture) in low-dimensional systems and its connection to newly...