Prof Dieter Jaksch

Abstract:

Controlled cold collisions of atoms in optical lattices allow implementation of highly parallel entanglement operation and quantum gates. Applications include quantum computing with efficient quantum error correction. The use of cold controlled collisions of atoms, trapped in the ground state of the lattice wells, a mechanism to introduce dynamic phase shifts depending on the state of the atoms is proposed. In lattices with ordered filling structures, highly parallel entanglement operations could be implemented, corresponding to a novel class of quantum gates. These multi-qubit quantum gates can be employed for efficient quantum error correction. How the parallelism in an optical lattice could be used for quantum computation in general is discussed.

Abstract:

A master equation for the reduced density operator of the Bose-Einstein condensate was formulated using the quantum kinetic theory. The steady state of the system is calculated and the effect of the one-, two-, and three-particle losses on the condensate is investigated. The effect of trap losses on the particle statistics is also studied. The condensate particles are coherently pumped into an untrapped internal energy level and fall down in gravity. The relation between the statistics of the trapped condensate particles and the statistics of the particles arriving at an atom detector positioned below the condensate are derived.