Quantum Logic in Optical Lattices via Trap induced Shape Resonances in Controlled Atomic Collisions - Rene Stock

Controlled collisions of ultracold atoms in optical lattices provide new avenues for performing quantum logic. We analyze controlled collisions of ultracold atoms by deriving a new generalized pseudopotential which captures all the scattering properties and bound states of the true atom-atom interaction and provides an important tool in atomic collision theory . We apply this model to evaluate quantum-logic gates based on newly discovered trap induced shape resonances.