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Density Matrix Formalism
Linked via "quantum Liouville-von Neumann equation"
Evolution of the Density Matrix
The time evolution of the density operator is governed by the quantum Liouville-von Neumann equation:
$$\frac{d\rho}{dt} = -\frac{i}{\hbar} [H, \rho] + \mathcal{L}(\rho)$$