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Phys. Rev. A 80, 042112 (2009) [6 pages]

Non-Markovian dissipative dynamics of two coupled qubits in independent reservoirs: Comparison between exact solutions and master-equation approaches

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E. Ferraro1,*, M. Scala1,2,†, R. Migliore3, and A. Napoli1
1Dipartimento di Scienze Fisiche ed Astronomiche, Università di Palermo, via Archirafi 36, 90123 Palermo, Italy
2Department of Physics, Sofia University, James Bourchier 5 Boulevard, 1164 Sofia, Bulgaria
3CNR-INFM, Research Unit CNISM of Palermo, via Archirafi 36, 90123 Palermo, Italy

Received 27 July 2009; published 27 October 2009

The reduced dynamics of two interacting qubits coupled to two independent bosonic baths is investigated. The one-excitation dynamics is derived and compared with that based on the resolution of appropriate non-Markovian master equations. The Nakajima-Zwanzig and the time-convolutionless projection operator techniques are exploited to provide a description of the non-Markovian features of the dynamics of the two-qubit system. The validity of such approximate methods and their range of validity in correspondence to different choices of the parameters describing the system are brought to light.

© 2009 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.80.042112
DOI:
10.1103/PhysRevA.80.042112
PACS:
03.65.Yz, 42.50.Lc

*ferraro@fisica.unipa.it

matteo.scala@fisica.unipa.it