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Partial trace of the density matrix

  1. Oct 15, 2012 #1
    Hi,

    I am trying to work out the atomic inversion of the Jaynes cummings model using the density matrix. At the moment i have a 2x2 matrix having used the Von neumann equation (technically in Wigner function in x and y).

    Each of my matrix elements are 1st order pde's describing the evolution of the system...I want to know how do I perform a partial trace on this density matrix.

    I've seen it mentioned that to work out the atomic inversion of the atom I need to do a partial trace over oscillator variables...but I don't understand how to do this mathematically...using my 4 pde's in x and y?

    Any help would be great. Thanks
     
  2. jcsd
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