TY  - JOUR
AU  - Di Molfetta, G.
AU  - Soares-Pinto, D. O.
AU  - Duarte Queiros, S. M.
PY  - 2018
DA  - 2018//
TI  - Elephant quantum walk
T2  - Phys. Rev. A
JO  - Physical Review A
SP  - 062112
EP  - 6pp
VL  - 97
IS  - 6
PB  - Amer Physical Soc
AB  - 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.
SN  - 2469-9926
UR  - http://arxiv.org/abs/1709.09464
UR  - https://doi.org/10.1103/PhysRevA.97.062112
DO  - 10.1103/PhysRevA.97.062112
LA  - English
N1  - WOS:000435076800002
ID  - DiMolfetta_etal2018
ER  -