Non-Markovian Quantum Jump with Generalized Lindblad Master Equation
arXiv:0810.2337 · doi:10.1103/PhysRevE.78.041107
Abstract
The Monte Carlo wave function method or the quantum trajectory/jump approach is a powerful tool to study dissipative dynamics governed by the Markovian master equation, in particular for high-dimensional systems and when it is difficult to simulate directly. In this paper, we extend this method to the non-Markovian case described by the generalized Lindblad master equation. Two examples to illustrate the method are presented and discussed. The results show that the method can correctly reproduce the dissipative dynamics for the system. The difference between this method and the traditional Markovian jump approach and the computational efficiency of this method are also discussed.
References in corpus (9)
- Non-Markovian quantum jumps
- Non-Markovian generalization of the Lindblad theory of open quantum systems
- Completely Positive Post-Markovian Master Equation via a Measurement Approach
- Non-Markovian dynamics of a single electron spin coupled to a nuclear spin bath
- Non-Markovian dynamics of a qubit coupled to an Ising spin bath
- Teleportation in a noisy environment: a quantum trajectories approach
- Solution of the Lindblad Equation in the Kraus Representation
- Non-Markovian dynamics for bipartite systems
- Non-Markovian quantum dynamics and the method of correlated projection superoperators