PT Journal
AU Di Molfetta, G
   Soares-Pinto, DO
   Duarte Queiros, SM
TI Elephant quantum walk
SO Physical Review A
JI Phys. Rev. A
PY 2018
BP 062112
EP 6pp
VL 97
IS 6
DI 10.1103/PhysRevA.97.062112
LA English
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.
ER