Time evolution of a Gaussian class of quasi-distribution functions under quadratic Hamiltonian
Abstract
A Lie algebraic method for propagation of the Wigner quasi-distribution function under quadratic Hamiltonian was presented by Zoubi and Ben-Aryeh. We show that the same method can be used in order to propagate a rather general class of quasi distribution functions, which we call "Gaussian class". This class contains as special cases the well-known Wigner, Husimi, Glauber and Kirkwood-Rihaczek quasi-distribution functions. We present some examples of the calculation of the time-evolution of those functions.
Keywords
Cite
@article{arxiv.1404.4103,
title = {Time evolution of a Gaussian class of quasi-distribution functions under quadratic Hamiltonian},
author = {Dimitry Ginzburg and Ady Mann},
journal= {arXiv preprint arXiv:1404.4103},
year = {2014}
}
Comments
This paper was published in Applied Optics and is made available as an electronic reprint with the permission of OSA. The paper can be found at http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-53-8-1648 Systematic or multiple reproduction or distribution to multiple locations via electronic or other means is prohibited and is subject to penalties under law