Abstract
A Lie algebraic method for propagation of the Wigner quasi-distribution function (QDF) 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 QDFs, which we call the “Gaussian class.” This class contains as special cases the well-known Wigner, Husimi, Glauber, and Kirkwood–Rihaczek QDFs. We present some examples of the calculation of the time evolution of those functions.
© 2014 Optical Society of America
Full Article | PDF ArticleMore Like This
J. R. Moya-Cessa, H. Moya-Cessa, L. R. Berriel-Valdos, O. Aguilar-Loreto, and P. Barberis-Blostein
Appl. Opt. 47(22) E13-E18 (2008)
R. Román-Ancheyta, M. Berrondo, and J. Récamier
J. Opt. Soc. Am. B 32(8) 1651-1655 (2015)
Miguel A. Alonso
Adv. Opt. Photon. 3(4) 272-365 (2011)