Generalized Quantum Random Walk in Momentum Space
A. Romanelli, A. Auyuanet, R. Siri, Gonzalo Abal, R. Donangelo · arXiv (Cornell University) · 2004
We introduce a discrete-time quantum walk on a one-dimensional momentum space including both discrete jumps and continuous drift. Its time evolution has two diferent stages. Initially a Markovian diffusion develops during a characteristic time interval, after which dynamical localization sets in, as in the well known Quantum Kicked Rotor system. For some exceptional values of the model's parameter the system exhibits resonant behavior and the system model behaves as the standard discrete time quantum walker on the line.