31_transport
Coherent control of atomic transport in spinor optical lattices
Brian E. Mischuck, Poul S. Jessen, Ivan H. Deutsch
Coherent transport of atoms trapped in an optical lattice can be controlled by microwave-induced spin flips that correlate with site-to-site hopping. We study the controllability of homogeneous one-dimensional systems of noninteracting atoms in the absence of site addressability. Given these restrictions, we construct a deterministic protocol to map an initially localized Wannier state to a wave packet that that is coherently distributed over n sites. This is extended to analytic solutions for arbitrary unitary maps given homogenous systems and in the presence of time-dependent uni- form forces. Such control is important for applications in quantum information processing such as quantum computing and quantum simulations of condensed matter phenomena.