Physics – Quantum Physics
Scientific paper
2000-12-04
Physics
Quantum Physics
10 pages, including 5 figures, submitted to J. Chem Phys special issue on open quantum systems
Scientific paper
10.1016/S0301-0104(01)00296-8
The state matrix $\rho$ for an open quantum system with Markovian evolution obeys a master equation. The master equation evolution can be unraveled into stochastic nonlinear trajectories for a pure state $P$, such that on average $P$ reproduces $\rho$. Here we give for the first time a complete parameterization of all diffusive unravelings (in which $P$ evolves continuously but non-differentiably in time). We give an explicit measurement theory interpretation for these quantum trajectories, in terms of monitoring the system's environment. We also introduce new classes of diffusive unravelings that are invariant under the linear operator transformations under which the master equation is invariant. We illustrate these invariant unravelings by numerical simulations. Finally, we discuss generalized gauge transformations as a method of connecting apparently disparate descriptions of the same trajectories by stochastic Schr\"odinger equations, and their invariance properties.
Diosi Lajos
Wiseman Howard M.
No associations
LandOfFree
Complete parameterization, and invariance, of diffusive quantum trajectories for Markovian open systems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Complete parameterization, and invariance, of diffusive quantum trajectories for Markovian open systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Complete parameterization, and invariance, of diffusive quantum trajectories for Markovian open systems will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-70250