Outline of Dr Cathy Holmes's lectures:

Large resonances in Hamiltonian systems, with applications

Resonances are a familiar signature of nonintegrable
Hamiltonian systems. We will look at how they appear and
their importance for two applications.
Cold atoms in an amplitude modulated optical periodic
potential.
Coupled Bose-Einstein condensates of alkali gases.
Quantum Mechanical Tunneling between resonances was
recently observed for cold atoms in an optical dipole.

References:
W.K. Hensinger et al, Dynamical Tunneling of Ultracold
Atoms, Nature, p. 52, Vol. 412, 2001
D.A. Steck et al, Science Express 10.1126/science. 1061569. 2001.