Generalized quantum walk in momentum space
Abstract
We consider a new model of quantum walk on a onedimensional 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 onedimensional 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.
 Publication:

Physica A Statistical Mechanics and its Applications
 Pub Date:
 July 2005
 DOI:
 10.1016/j.physa.2005.01.026
 arXiv:
 arXiv:quantph/0408183
 Bibcode:
 2005PhyA..352..409R
 Keywords:

 Quantum Physics
 EPrint:
 11 pages, 5 figures