Disordered complex systems using cold gases and trapped ions

© 2005 by World Scientific Publishing Co. Pte. Ltd. All rights reserved. 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 king Hamiltonian (spin glasses) which can be implemented with a bose-fermi (bosebose) 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.