Perturbative expansion for master equation and it applications

Abstract

We construct generally applicable small-loss rate expansions for the density operator of an open system. Successive terms of those expansions yield characteristic loss rates for dissipation processes. Three applications are presented in order to give further insight into the context of those expansions. The first application, of a two-level atom coupling to a bosonic environment, shows the procedure and the advantage of the expansion, whereas the second application that consists of a single mode field in a cavity with linewidth $\kappa$ due to partial transmission through one mirror illustrates a practical use of those expansions in quantum measurements, and the third one, for an atom coupled to modes of a lossy cavity shows the another use of the perturbative expansion.

10 pages, 1 figure

Cited by in corpus (14)

• Perturbative approach to Markovian open quantum systems
• Creating Bell states and decoherence effects in quantum dots system
• Effective Hamiltonian Approach to the Master Equation
• Effect of quantum jumps on non-Hermitian system
• Non-Markovian Quantum Jump with Generalized Lindblad Master Equation
• Effective Hamiltonian Approach to Open Systems and Its Applications
• Dynamical symmetry and analytical solutions of the non-autonomous quantum master equation of the dissipative two-level system: decoherence of quantum register
• Multiple-scale analysis of open quantum systems
• Quantitative aspects of entanglement in the optically driven quantum dots
• The dissipation of the system and the atom in two-photon Jaynes-Cummings model with degenerate atomic levels
• Born-Oppenheimer approximation in open systems
• Exact steady state of perturbed open quantum systems
• Quantum effects beyond mean-field treatment in quantum optics
• Hall conductance and topological invariant for open systems