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Phys. Rev. A 78, 062114 (2008) [9 pages]

Effective Hamiltonian approach to open systems and its applications

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X. L. Huang1, X. X. Yi1,2,*, Chunfeng Wu2, X. L. Feng2, S. X. Yu2, and C. H. Oh2,†
1School of Physics and Optoelectronic Technology, Dalian University of Technology, Dalian 116024, China
2Centre for Quantum Technologies and Department of Physics, National University of Singapore, 3 Science Drive 2, Singapore 117543, Singapore

Received 17 October 2008; published 30 December 2008

By using the effective Hamiltonian approach, we present a self-consistent framework for the analysis of geometric phases and dynamically stable decoherence-free subspaces in open systems. Comparisons to the earlier works are made. This effective Hamiltonian approach is then extended to a non-Markovian case with the generalized Lindblad master equation. Based on this extended effective Hamiltonian approach, the non-Markovian master equation describing a dissipative two-level system is solved, an adiabatic evolution is defined, and the corresponding adiabatic condition is given.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.78.062114
DOI:
10.1103/PhysRevA.78.062114
PACS:
03.65.Yz, 03.65.Ta, 07.60.Ly

*yixx@dlut.edu.cn

phyohch@nus.edu.sg