Generalized quantum walk in momentum space

A. Romanelli, A. Auyuanet, R. Siri, G. Abal and R. Donangelo

Physica A: Statistical Mechanics and its Applications, 2005, vol. 352, issue 2, 409-418

Abstract: We consider a new model of quantum walk on a one-dimensional momentum space that includes both discrete jumps and continuous drift. Its time evolution has two stages; a Markov diffusion followed by localized dynamics. As in the well known quantum kicked rotor, this model can be mapped into a localized one-dimensional Anderson model. For exceptional (rational) values of its scale parameter, the system exhibits resonant behavior and reduces to the usual discrete time quantum walk on the line.

Keywords: Quantum walk; Markov process; Quantum information (search for similar items in EconPapers)
Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:352:y:2005:i:2:p:409-418

DOI: 10.1016/j.physa.2005.01.026

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