【作者】 匡森； 丛爽；

【Author】 KUANG Sen1,CONG Shuang1,2 1.Department of Automation,University of Science and Technology of China,Hefei 230027,P.R.China2.Hefei National Laboratory for Physical Sciences at the Microscale,Hefei 230026,P.R.China

【机构】 中国科学技术大学自动化系； 中国科学技术大学合肥微尺度物质科学国家实验室；

【摘要】 针对没有退化跃迁的混合态量子系统,本文以一个特定力学量的期望值为Lyapunov函数,设计了保证Lyapunov函数单调性的控制律,并重点研究了控制作用下任一系统轨线的极限点特征.研究结果表明,当控制系统的能级跃迁图完全连通时,系统任一轨线的极限点只可能是系统的平衡点之一;而当系统的跃迁图仅仅连通时,系统任一轨线的极限点是非孤立的,此时借助密度算子的Bloch矢量体系本文也正规得到了极限点的严格数学表达式.更多还原

【Abstract】 For mixed-state quantum systems without degenerate transition,this paper chooses the expectation value of a mechanical quantity as a Lyapunov function,designs the control laws that guarantee the monotonic decreasing of the Lyapunov function,and mainly studies the characteristics of limit points of any system trajectory under the action of control fields.Research results show that for a fully connected system,the limit point of any trajectory is one of its equilibrium states while for an only connected system,the limit points of any trajectory is not isolated.In the latter case,this paper also gives the strict expression of the limit points via the Bloch vector framework of density operators.更多还原