TY  - JOUR
AU  - Hinarejos, M.
AU  - Perez, A.
AU  - Bañuls, M. C.
PY  - 2012
DA  - 2012//
TI  - Wigner function for a particle in an infinite lattice
T2  - New J. Phys.
JO  - New Journal of Physics
SP  - 103009
EP  - 19pp
VL  - 14
PB  - Iop Publishing Ltd
AB  - We study the Wigner function for a quantum system with a discrete, infinite-dimensional Hilbert space, such as a spinless particle moving on a one-dimensional infinite lattice. We discuss the peculiarities of this scenario and of the associated phase-space construction, propose a meaningful definition of the Wigner function in this case and characterize the set of pure states for which it is non-negative. We propose a measure of non-classicality for states in this system, which is consistent with the continuum limit. The prescriptions introduced here are illustrated by applying them to localized and Gaussian states and to their superpositions.
SN  - 1367-2630
UR  - http://arxiv.org/abs/1205.3925
UR  - https://doi.org/10.1088/1367-2630/14/10/103009
DO  - 10.1088/1367-2630/14/10/103009
LA  - English
N1  - WOS:000309396700001
ID  - Hinarejos_etal2012
ER  -