RAPIDLY CONVERGENT ITERATION METHODS FOR QUANTUM-OPTIMAL CONTROL OF POPULATION

A family of new iteration methods is presented for designing quantum o ptimal controls to manipulate the transition probability. Theoretical analysis shows that these new methods exhibit quadratic and monotonic convergence. Numerical calculations verify that for these new methods, within very few steps, the optimized objective functional comes close to its convergent limit. (C) 1998 American Institute of Physics.