@Article{Marquez-Martin_etal2017,
author="Marquez-Martin, I.
and Di Molfetta, G.
and Perez, A.",
title="Fermion confinement via quantum walks in (2+1)-dimensional and (3+1)-dimensional space-time",
journal="Physical Review A",
year="2017",
publisher="Amer Physical Soc",
volume="95",
number="4",
pages="042112--5pp",
abstract="We analyze the properties of a two-and three-dimensional quantum walk that are inspired by the idea of a brane-world model put forward by Rubakov and Shaposhnikov [Phys. Lett. B 125, 136 (1983)]. In that model, particles are dynamically confined on the brane due to the interaction with a scalar field. We translated this model into an alternate quantum walk with a coin that depends on the external field, with a dependence which mimics a domain wall solution. As in the original model, fermions (in our case, the walker) become localized in one of the dimensions, not from the action of a random noise on the lattice (as in the case of Anderson localization) but from a regular dependence in space. On the other hand, the resulting quantum walk can move freely along the {\textquoteleft}{\textquoteleft}ordinary{\textquoteright}{\textquoteright} dimensions.",
optnote="WOS:000399931500006",
optnote="exported from refbase (https://references.ific.uv.es/refbase/show.php?record=3102), last updated on Thu, 18 May 2017 12:29:36 +0000",
issn="2469-9926",
doi="10.1103/PhysRevA.95.042112",
opturl="http://arxiv.org/abs/1612.08027",
opturl="https://doi.org/10.1103/PhysRevA.95.042112",
archivePrefix="arXiv",
eprint="1612.08027",
language="English"
}