One component quantum mechanics and target state tracing - Lianao Wu

We use a Feshbach P-Q partitioning technique to derive a closed one- component integro-differential equation for all linear system. The resultant equation properly traces the footprint of the target state. The physical significance of the derived dynamical equation is illustrated by both general analysis and concrete examples. We show that tracing a target statel can be done by fast-changing external fields, even fast noises. We illustrate the results by quantum memory and controlled adiabatic paths.