%0 Journal Article %T Quantum Walks in artificial electric and gravitational Fields %A Giuseppe Di Molfetta %A Marc Brachet %A Fabrice Debbasch %J Computer Science %D 2013 %I arXiv %R 10.1016/j.physa.2013.11.036 %X 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. %U http://arxiv.org/abs/1309.4923v1