Optimal switching using coherent control

Optimal switching using coherent control

Optimal Control for Switching Systems

The notion of switching system generalizes the idea of a `diierential equa-tion': a switching system consists of a number of modes (e.g., diierential equations) together with a set of switching rules. Such systems arise in mod-eling thermostats (and other devices involving`hysteresis'), in considering the evolution of a multimodal (variable structure) system for which`feedback control' has been...

Coherent optimal control of photosynthetic molecules

F. Caruso,1,2 S. Montangero,3 T. Calarco,3 S. F. Huelga,1 and M. B. Plenio1 1Institut für Theoretische Physik, Universität Ulm, Albert-Einstein-Allee 11, D-89069 Ulm, Germany 2LENS and Dipartimento di Fisica e Astronomia, Università di Firenze, I-50019 Sesto Fiorentino, Italy 3Institut für Quanteninformationsverarbeitung, Universität Ulm, Albert-Einstein-Allee 11, D-89069 Ulm, Germany (Received...

A Simple Theory of Optimal Coherent Control

By combining the theories of optimal control and coherent control, we derive an analytical formulation to evaluate the optimal 1-photon and n-photon fields together with their relative phase and intensity in the optimal “1 + n”-coherent control scheme. The optimal coherent control exploits tailored light pulses to produce the best overlap with a predefined nuclear target in an electronically de...

Solving Singular Control from Optimal Switching

This report summarizes some of our recent work (Guo and Tomecek (2008b,a)) on a new theoretical connection between singular control of finite variation and optimal switching problems. This correspondence not only provides a novel method for analyzing multi-dimensional singular control problems, but also builds links among singular controls, Dynkin games, and sequential optimal stopping problems.