A general formulation of monotonically convergent algorithms in the control of quantum dynamics beyond the linear dipole interaction

This paper presents a general method to formulate monotonically convergent algorithms for identifying optimal control fields to manipulate quantum dynamics phenomena beyond the linear dipole interaction The method facilitated by a field-dependent dipole moment operator is based on an Integral equation of the first kind arising from the Heisenberg equation of motion for tracking a time-dependent dynamical invariant observable associated with a reference control field (C) 2010 Elsevier BV All rights reserved