Effective Hamiltonian Approach to Open Systems and Its Applications
arXiv:0810.2913 · doi:10.1103/PhysRevA.78.062114
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.
9 pages, 2 figures
References in corpus (11)
- Non-Markovian generalization of the Lindblad theory of open quantum systems
- Adiabatic approximation in open quantum systems
- Completely Positive Post-Markovian Master Equation via a Measurement Approach
- Lindblad rate equations
- Non-Markovian dynamics of a single electron spin coupled to a nuclear spin bath
- Criteria for dynamically stable decoherence-free subspaces and incoherently generated coherences
- Solution of the Lindblad Equation in the Kraus Representation
- Effective Hamiltonian approach to adiabatic approximation in open systems
- Non-Markovian dynamics for bipartite systems
- Dynamical invariants and nonadiabatic geometric phases in open quantum systems
- Non-Markovian Quantum Jump with Generalized Lindblad Master Equation