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Phys. Rev. Lett. 89, 220405 (2002) [4 pages]

Embedding Dissipation and Decoherence in Unitary Evolution Schemes

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A. R. P. Rau* and R. A. Wendell
Department of Physics and Astronomy, Louisiana State University, Baton Rouge, Louisiana 70803-4001

Received 17 May 2002; published 8 November 2002

Dissipation and decoherence, and the evolution from pure to mixed states in quantum physics, are handled through master equations for the density matrix. By embedding elements of this matrix in a higher-dimensional Liouville-Bloch equation, the methods of unitary integration are adapted to solve for the density matrix as a function of time, including the nonunitary effects of dissipation and decoherence. The input requires only solutions of classical, initial value time-dependent equations. Results are illustrated for a damped, driven two-level system.

© 2002 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.89.220405
DOI:
10.1103/PhysRevLett.89.220405
PACS:
03.65.Yz, 05.30.–d, 42.50.Lc

*Email address: arau@phys.lsu.edu