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Quantum random walks using quantum accelerator modes

Z. -Y Ma·K. Burnett·M. B. d'Arcy·S. A. Gardiner
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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.

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Z. -Y Ma, K. Burnett, M. B. d'Arcy, S. A. Gardiner. 2005-08-24. Quantum random walks using quantum accelerator modes. https://doi.org/10.1103/physreva.73.013401

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