Physics – Chemical Physics
Scientific paper
2009-08-14
Physics
Chemical Physics
8 pages
Scientific paper
In this paper, we present a unified computational method based on pseudospectral approximations for the design of optimal pulse sequences in open quantum systems. The proposed method transforms the problem of optimal pulse design, which is formulated as a continuous time optimal control problem, to a finite dimensional constrained nonlinear programming problem. This resulting optimization problem can then be solved using existing numerical optimization suites. We apply the Legendre pseudospectral method to a series of optimal control problems on open quantum systems that arise in Nuclear Magnetic Resonance (NMR) spectroscopy in liquids. These problems have been well studied in previous literature and analytical optimal controls have been found. We find an excellent agreement between the maximum transfer efficiency produced by our computational method and the analytical expressions. Moreover, our method permits us to extend the analysis and address practical concerns, including smoothing discontinuous controls as well as deriving minimum energy controls. The method is not restricted to the systems studied in this article but is universal to every open quantum system whose performance is limited by dissipation.
Li Jr-Shin
Ruths Justin
Stefanatos Dionisis
No associations
LandOfFree
A Pseudospectral Method for Optimal Control of Open Quantum 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 A Pseudospectral Method for Optimal Control of Open Quantum Systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Pseudospectral Method for Optimal Control of Open Quantum Systems will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-272653