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Time evolution of a Gaussian class of quasi-distribution functions under quadratic Hamiltonian

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.

preprint2014arXivOpen access
Dimitry GinzburgAdy Mann
math-phmath.MPquant-ph
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Dimitry GinzburgAdy Mann

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