Wigner formalism for a particle on an infinite lattice: dynamics and spin
Quantum Physics
2015-01-26 v2
Abstract
The recently proposed Wigner function for a particle in an infinite lattice [NJP 14, 103009 (2012)] is extended here to include an internal degree of freedom, as spin. 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. Discrete processes are also discussed. Finally we discuss the possibility of introducing a negativity concept for the Wigner function in the case in which the spin degree of freedom is included.
Keywords
Cite
@article{arxiv.1405.2944,
title = {Wigner formalism for a particle on an infinite lattice: dynamics and spin},
author = {M. Hinarejos and M. C. Bañuls and A. Pérez},
journal= {arXiv preprint arXiv:1405.2944},
year = {2015}
}
Comments
16 pages, 3 figures