Phys. Rev. A 70, 024301 (2004) [4 pages]Completely positive non-Markovian decoherenceReceived 2 March 2004; published 4 August 2004 We propose an effective Hamiltonian approach to investigate decoherence of a quantum system in a non-Markovian reservoir, naturally imposing the complete positivity on the reduced dynamics of the system. The formalism is based on the notion of an effective reservoir, i.e., certain collective degrees of freedom in the reservoir that are responsible for the decoherence. As examples for completely positive decoherence, we present three typical decoherence processes for a qubit such as dephasing, depolarizing, and amplitude damping. The effects of the non-Markovian decoherence are compared to the Markovian decoherence. © 2004 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.70.024301
DOI:
10.1103/PhysRevA.70.024301
PACS:
03.67.Pp, 03.65.Yz, 42.50.Ct
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