Study on the Control Theory of Quantum Systems

• Main Authors: Chien-Liang Chou, 周建良
• Other Authors: Chi-Chuan Hwang
• Format: Others
• Language: zh-TW
• Published: 2003
• Online Access: http://ndltd.ncl.edu.tw/handle/43319631129867499985

碩士 === 國立成功大學 === 工程科學系碩博士班 === 91 === Recent advances in driven system have opened up new possibilities for control of phenomena in the quantum regime, such as molecular dynamics or chemical reaction dynamics. Rabitz and Schirmer presented an entangled feedback algorithm for quantum optimal control of the physical expectation value of a positive-definite observable operator.They designed to find the control field by this method and show that achieving the control objective. On the other hand, the analysis of control of the many-body quantum system is complex. For the reason it is described to have a reduced formulation of the control process generally. In this thesis we investigate the processes of multi-dimension of quantum control system by using projection operator method. Then we expect that the projection operator P onto the subspace which composed of strongly coupled states dominates the system dynamics, and let Q onto the remaining states which regard as the correction from the influence of weakly coupled states. We hope to decay or eliminate the correction by the above algorithm method. Finally, the way is then applied to the problem of maximizing the population of objected level for a HF (hydrogen fluoride) molecule with Morse oscillator potential model.