title: Quantum observable homotopy tracking control.
abstract: This paper presents a new tracking method where the target observable O(s,T) at the final dynamical time T follows a predefined track P(s) with respect to a homotopy tracking variable s>or=0. The procedure calculates the series of control fields E(s,t) required to accomplish observable homotopy tracking by solving a first-order differential equation in s for the evolution of the control field. Controls produced by this technique render the desired track for all s without encountering field singularities. This paper also extends the technique to the case where the field-free Hamiltonian and dipole moment operator change with s in order to explore the control of new physical systems along the track. Several simulations are presented illustrating the various uses for this quantum tracking control technique.
authors.affiliation: Department of Chemistry, Princeton University, Princeton, New Jersey 08544-1009, USA. arothman@princeton.edu
authors.forename: Adam
authors.initials: A
authors.lastname: Rothman
authors.forename: Tak-San
authors.initials: TS
authors.lastname: Ho
authors.forename: Herschel
authors.initials: H
authors.lastname: Rabitz