Quantum random walks using quantum accelerator modes
arXiv:physics/0508182 · doi:10.1103/PhysRevA.73.013401
Abstract
We discuss the use of high-order quantum accelerator modes to achieve an atom optical realization of a biased quantum random walk. We first discuss how one can create co-existent quantum accelerator modes, and hence how momentum transfer that depends on the atoms' internal state can be achieved. When combined with microwave driving of the transition between the states, a new type of atomic beam splitter results. This permits the realization of a biased quantum random walk through quantum accelerator modes.
7 pages, 6 figures
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- Implementation of the quantum walk step operator in lateral quantum dots
- Coherent Acceleration of Material Wavepackets