@Article{DiMolfetta_etal2018,
author="Di Molfetta, G.
and Soares-Pinto, D. O.
and Duarte Queiros, S. M.",
title="Elephant quantum walk",
journal="Physical Review A",
year="2018",
publisher="Amer Physical Soc",
volume="97",
number="6",
pages="062112--6pp",
abstract="We introduce an analytically treatable discrete time quantum walk in a one-dimensional lattice which combines non-Markovianity and hyperballistic diffusion associated with a Gaussian whose variance sigma(2)(t) grows cubicly with time sigma alpha t(3). These properties have have been numerically found in several systems, namely, tight-binding lattice models. For its rules, our model can be understood as the quantum version of the classical non-Markovian {\textquoteleft}{\textquoteleft}elephant random walk{\textquoteright}{\textquoteright} process for which the quantum coin operator only changes the value of the diffusion constant although, contrarily, to the classical coin.",
optnote="WOS:000435076800002",
optnote="exported from refbase (https://references.ific.uv.es/refbase/show.php?record=3625), last updated on Sat, 30 Jun 2018 14:48:28 +0000",
issn="2469-9926",
doi="10.1103/PhysRevA.97.062112",
opturl="http://arxiv.org/abs/1709.09464",
opturl="https://doi.org/10.1103/PhysRevA.97.062112",
archivePrefix="arXiv",
eprint="1709.09464",
language="English"
}