Hi, I am trying to solve a modified Jayne's cummings model using the Von Neumann equation and Wigner function but am having a problem with Density matrix hermicity;(adsbygoogle = window.adsbygoogle || []).push({});

I am trying to solve in Schrodinger picture.

I have my system Hamiltonian as;

[tex]

H_{0} = \frac{1}{2}\hbar \Omega \sigma_{z} + \hbar \omega aa^{\dagger}

[/tex]

I am having a problem with the second term of this system Hamiltonian...when I follow it through into the Von neumann equation and Wigner function I get a non-Hermitian matrix??

I can't find a problem with the maths...the only thing I can think is to drop the second term and leave it out of the Von Neumann equation...if this is possible, why?

Thanks.

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# Problem with Hermicity of Density matrix

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