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Dissipation and decoherence, and the evolution from pure to mixed states inquantum physics are handled through master equations for the density matrix. Byembedding elements of this matrix in a higher-dimensional Liouville-Blochequation, the methods of unitary integration are adapted to solve for thedensity matrix as a function of time, including the non-unitary effects ofdissipation and decoherence. The input requires only solutions of classical,initial value time-dependent equations. Results are illustrated for a dampeddriven two-level system.Comment: 4 pages, 2 fig

Embedding Dissipation and Decoherence in Unitary Evolution Schemes