%0 Journal Article
%T Elephant quantum walk
%A Di Molfetta, G.
%A Soares-Pinto, D. O.
%A Duarte Queiros, S. M.
%J Physical Review A
%D 2018
%V 97
%N 6
%I Amer Physical Soc
%@ 2469-9926
%G English
%F DiMolfetta_etal2018
%O WOS:000435076800002
%O exported from refbase (https://references.ific.uv.es/refbase/show.php?record=3625), last updated on Sat, 30 Jun 2018 14:48:28 +0000
%X 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 "elephant random walk" process for which the quantum coin operator only changes the value of the diffusion constant although, contrarily, to the classical coin.
%R 10.1103/PhysRevA.97.062112
%U http://arxiv.org/abs/1709.09464
%U https://doi.org/10.1103/PhysRevA.97.062112
%P 062112-6pp