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I am trying to solve time-dependent Liouville-von-Neumann equations for the dynamics of an electron travelling between several coherently coupled states with constant dephasing time. I was very surprised receiving negative values for diagonal elements of the density matrix in some time intervals. Did anybody face this problem? How could I interpret such a strange behaviour of the Liouville-Neumann equation?

Thank you

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# Abnormal behavior of the Liouville-von-Neuman equation

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