Quantum Walks in artificial electric and gravitational Fields
Quantum Physics
2017-04-25 v1 Information Theory
General Relativity and Quantum Cosmology
Mathematical Physics
math.IT
math.MP
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.
Cite
@article{arxiv.1309.4923,
title = {Quantum Walks in artificial electric and gravitational Fields},
author = {Giuseppe Di Molfetta and Marc Brachet and Fabrice Debbasch},
journal= {arXiv preprint arXiv:1309.4923},
year = {2017}
}
Comments
13 pages, 3 figures. Submitted to Physica A. arXiv admin note: text overlap with arXiv:1212.5821