Lindblad型开放量子系统最优控制

Optimal Control of Open Quantum Systems in Lindblad Equation

对于伴随着松弛和耗散的Lindblad型开放量子系统,采用基于Liouville超算符变换的方法,将开放量子系统的动力学微分方程的矩阵表达形式转化成向量表达以简化微分方程的求解。以系统被控状态到达目标状态的期望值为性能指标,对变换后的开放量子系统进行最优控制律的设计,以达到状态转移的目的。在MATLAB环境下以2能级开放量子系统为例进行了系统仿真实验。对控制参数的变化对系统的布居数转移概率及其控制时间的影响进行了对比实验,并对实验结果进行了对比分析。

In order to solve the state of an open quantum system with relaxation and dissipation,the dynamical equation of the system in matrix was transformed into vector form in Liouville space. Taking the expectation value for the state under control reaching the target state as performance indicators,an optimal control function was derived for the system transformed. The control a 2-level open quantum system was simulated on in MATLAB. The influence to population transfer probability and control time caused by changing of parameters were analysed contrastively.