Effective Hamiltonian approach to open systems and its applications

X. L. Huang, X. X. Yi, Chunfeng Wu, X. L. Feng, S. X. Yu, and C. H. Oh
Phys. Rev. A 78, 062114 – Published 30 December 2008

Abstract

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.

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  • Received 17 October 2008

DOI:https://doi.org/10.1103/PhysRevA.78.062114

©2008 American Physical Society

Authors & Affiliations

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

  • *yixx@dlut.edu.cn
  • phyohch@nus.edu.sg

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Vol. 78, Iss. 6 — December 2008

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