Quantum random walks using quantum accelerator modes

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Z.-Y. Ma and K. Burnett
Clarendon Laboratory, Department of Physics, University of Oxford, Parks Road, Oxford OX1 3PU, United Kingdom

M. B. d'Arcy
Atomic Physics Division, National Institute of Standards and Technology, Gaithersburg, Maryland 20899-8424, USA

S. A. Gardiner
Department of Physics, University of Durham, Rochester Building, South Road, Durham DH1 3LE, United Kingdom

Received 24 August 2005; published 3 January 2006

Wediscuss the use of high-order quantum accelerator modes to achievean atom optical realization of a biased quantum random walk.We first discuss how one can create coexistent quantum acceleratormodes, and hence how momentum transfer that depends on theatoms' internal state can be achieved. When combined with microwavedriving of the transition between the states, a different typeof atomic beam splitter results. This permits the realization ofa biased quantum random walk through quantum accelerator modes.

URL:	http://link.aps.org/doi/10.1103/PhysRevA.73.013401
DOI:	10.1103/PhysRevA.73.013401
PACS:	32.80.Lg; 42.50.Vk 32.80.Lg Mechanical effects of light on atoms, molecules, and ions 42.50.Vk Mechanical effects of light on atoms, molecules, electrons, and ions YEAR: 2006
KEYWORDS:	random processes, atom optics, optical beam splitters, quantum optics

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