%0 Journal Article
%T Wigner formalism for a particle on an infinite lattice: dynamics and spin
%A Hinarejos, M.
%A Bañuls, M. C.
%A Perez, A.
%J New Journal of Physics
%D 2015
%V 17
%I Iop Publishing Ltd
%@ 1367-2630
%G English
%F Hinarejos_etal2015
%O WOS:000348759800007
%O exported from refbase (https://references.ific.uv.es/refbase/show.php?record=2101), last updated on Wed, 20 Nov 2019 16:19:16 +0000
%X 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.
%K Wigner functions
%K dynamics on a lattice
%K spin-dependent forces
%R 10.1088/1367-2630/17/1/013037
%U http://arxiv.org/abs/1405.2944
%U https://doi.org/10.1088/1367-2630/17/1/013037
%P 013037-16pp