Quantum Walks in artificial electric and gravitational Fields
arXiv:1309.4923 · doi:10.1016/j.physa.2013.11.036
Abstract
The continuous limit of quantum walks (QWs) on the line is revisited through a recently developed method. In all cases but one, the limit coincides with the dynamics of a Dirac fermion coupled to an artificial electric and/or relativistic gravitational field. All results are carefully discussed and illustrated by numerical simulations.
13 pages, 3 figures. Submitted to Physica A. arXiv admin note: text overlap with arXiv:1212.5821
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