Disordered complex systems using cold gases and trapped ions

We report our research on disordered complex systems using cold gases
and trapped ions and address the possibility of using complex systems
for quantum information processing. Two simple paradigmatic models of
disordered complex systems are here revisited. The first one corresponds
to a short range disordered Ising Hamiltonian (spin glasses) which can
be implemented with a bose-fermi (bose-bose) mixture in a disordered
optical lattice. The second model we address here is a long range
disordered Hamiltonian characteristic of neural networks (Hopfield
model) which can be implemented in a chain of trapped ions with
appropriately designed interactions.

{17th International Conference on Laser Spectroscopy, Aviemore, SCOTLAND, JUN 19-24, 2005}