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Q: Fachverband Quantenoptik und Photonik

Q 6: Quanteninformation (Atome und Ionen II)

Q 6.4: Talk

Monday, March 10, 2008, 17:15–17:30, 1B

Optimised particle transport in a potential well — •Michael Murphy and Tommaso Calarco — Inst. f. Quanteninformationsverarbeitung, Ulm, D

We analyse a quantum system with which we require non-adiabatic transport of a specified quantum state. We first consider analytically the situation of a 1-d harmonic potential confining a particle in a given quantum state, corresponding to the motional states of bound particles such as ions in a microtrap, or atoms in an optical lattice. We show analytic solutions exist for the transport function such that perfect transport is achieved in an arbitrary time, by which we mean that given an initial quantum state, the final state is the same as the initial state but displaced by our transport distance, and the state has evolved only as one would have found in a static harmonic potential. We also show that the system is robust against a class of distorting functions that describe homogeneous broadening. Furthermore, we apply Optimal Control Theory to optimise the transport function when the system is coupled to the environment.