Wigner formalism for a particle on an infinite lattice: dynamics and spin
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Wigner formalism for a particle on an infinite lattice: dynamics and spin

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Wigner formalism for a particle on an infinite lattice: dynamics and spin

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Hinarejos Doménech, Margarida; Bañuls Polo, María Carmen; Pérez Cañellas, Armando
This document is a artículoDate2015

Este documento está disponible también en : http://hdl.handle.net/10550/42964
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.

    Hinarejos Doménech, Margarida Bañuls Polo, María Carmen Pérez Cañellas, Armando 2015 Wigner formalism for a particle on an infinite lattice: dynamics and spin New Journal of Physics 17 013037-1 013037-16
http://dx.doi.org/10.1088/1367-2630/17/1/013037

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