Dimitry Ginzburg, Ady Mann
Published 2014-04-15Version 1
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.
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
Journal: Appl. Opt. 53, 1648-1657 (2014)
General solution of the time evolution of two interacting harmonic oscillators
Lieb-Robinson bounds and the simulation of time evolution of local observables in lattice systems
Time evolution of entangled biatomic states in a cavity
![QR code for arXiv:1404.4103 [quant-ph]](http://oss.arxitics.com/images/favicon.svg)