@Article{Hinarejos_etal2015,
author="Hinarejos, M.
and Ba{\~{n}}uls, M. C.
and Perez, A.",
title="Wigner formalism for a particle on an infinite lattice: dynamics and spin",
journal="New Journal of Physics",
year="2015",
publisher="Iop Publishing Ltd",
volume="17",
pages="013037--16pp",
optkeywords="Wigner functions; dynamics on a lattice; spin-dependent forces",
abstract="The recently proposed Wigner function for a particle in an infinite lattice (Hinarejos M, Banuls MC and Perez A 2012 New J. Phys. 14 103009) is extended here to include an internal degree of freedom as spin. This extension is made by introducing a Wigner matrix. The formalism is developed to account for dynamical processes, with or without decoherence. We show explicit solutions for the case of Hamiltonian evolution under a position-dependent potential, and for evolution governed by a master equation under some simple models of decoherence, for which the Wigner matrix formalism is well suited. Discrete processes are also discussed. Finally, we discuss the possibility of introducing a negativity concept for the Wigner function in the case where the spin degree of freedom is included.",
optnote="WOS:000348759800007",
optnote="exported from refbase (https://references.ific.uv.es/refbase/show.php?record=2101), last updated on Wed, 20 Nov 2019 16:19:16 +0000",
issn="1367-2630",
doi="10.1088/1367-2630/17/1/013037",
opturl="http://arxiv.org/abs/1405.2944",
opturl="https://doi.org/10.1088/1367-2630/17/1/013037",
archivePrefix="arXiv",
eprint="1405.2944",
language="English"
}