Local control theory

Santana, L. F., Cheng, H., Gomez, A. M., Cannell, M. B., and Lederer, W. J. (1996). Relation Between the Sarcolemmal Ca2+ Current and Ca2+ Sparks and Local Control Theories for Cardiac Excitation-Contraction Coupling. Circ Res 78(1) 166-71. 

LOCAL CONTROL THEORY RECENT APPLICATIONS TO ENERGY AND PARTICLE TRANSFER PROCESSES IN MOLECULES... 

In this chapter we review our recent applications of a local control scheme to various problems in chemical physics. The approach we follow is called Local Control Theory (LCT). The idea first appeared in the formulation of Optimal Control Theory introduced by Kosloff, Rice, and Tannor [42] and has been... 

To become accustomed with the ideas of local control theory, we give two simple analytical examples in what follows. 

Here we notice that local control theory, with the objective to stop a freely moving particle, directly leads to Stokes law describing friction by a force being proportional to the velocity. In the absence of other forces, this leads to an exponential decrease of the velocity to zero [88]. 

A further application of local control theory is the so-called optical paralysis scheme [26, 43, 45, 47]. The basic idea is to manipulate ground-state properties while suppressing unwanted excitations to high-lying states, an important... 

The sign of C(t) can now be adjusted such that the vibrational energy in the ground state increases (or decreases) monotonically, while the sum of the populations on the ground and first excited states is kept constant. As in the general formulation of local control theory, in order to avoid unphysical divergences, one choice for C(t) is... 

In this chapter we have reviewed selected applications of Local Control Theory (LCT) to the control of processes taking place in molecules. The scheme rests on the construction of electric fields taking the instantaneous response of a perturbed system into account. In the simplest version, this is done by calculating the rate of an observable and the fields are adjusted to either increase or decrease this rate, depending on which objective is chosen. 

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