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Generalized Quantum Walk in Momentum Space

A. Romanelli·A. Auyuanet·R. Siri·G. Abal·R. Donangelo
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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 reduce to the usual discrete time quantum walk on the line.

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A. Romanelli, A. Auyuanet, R. Siri, G. Abal, R. Donangelo. 2004-12-09. Generalized Quantum Walk in Momentum Space. https://doi.org/10.1016/j.physa.2005.01.026

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