Tunneling of ultracold atoms in time-independent potentials

Abstract

We present theoretical as well as experimental results on resonantly enhanced quantum tunneling of Bose-Einstein condensates in optical lattices both in the linear case of single particle dynamics and in the presence of atom-atom interactions. Our results demonstrate the usefulness of condensates in optical lattices for the dynamical control of tunneling and for simulating Hamiltonians originally used for describing solid state phenomena.

slightly amended version published as ch. 11 of a book edited by S. Keshavamurthy and P. Schlagheck with the title "Dynamical Tunneling: Theory and Experiment"