Non-Markovian开放量子系统的特性分析与状态转移

针对时间无卷积的二能级Non-Markovian开放量子系统, 分别研究了环境截断频率、耦合系数和系统振荡频率对系统衰减系数、相干性和纯度的影响, 并根据不同数值对系统性能影响的分析结果来确定合适的系统仿真实验的参数; 基于李雅普诺夫稳定性定理设计了用于系统状态转移的控制场; 在Matlab环境下进行了系统数值仿真实验,研究了Non-Markovian系统自由演化轨迹的特性, 以及在所设计的控制器作用下纯态到纯态的状态转移,并通过性能对比实验, 验证了所提出的量子李雅普诺夫控制方法应用于Non-Markovian系统状态转移的有效性, 同时分析了控制参数、截断频率参数对控制系统性能的影响.

Characteristics Analysis and State Transfer for Non-Markovian Open Quantum Systems

The weak-coupled two-level open quantum system described by non-Markovian time-convolution-less master equation is investigated in this paper. The system characteristics with respect to the decay rate β(t), coherence factor Coh and purity p in terms of the cut-off frequency ω_c, coupling constant α and transition frequency ω₀ are investigated, respectively. The appropriate parameters used in system simulation experiments are determined by analyzing results of different values of parameters for the effects of system performance. The control laws used to transfer the system states are designed on the basis of the Lyapunov stability theorem. Numerical simulation experiments are implemented under the Matlab environment. The features of the free evolution trajectory of the non-Markovian systems and the state transfer from a pure state to a desired pure state under the action of the proposed control laws are studied, respectively. By comparing the experimental results, the effectiveness of the proposed quantum Lyapunov control method applied to the state transfer in non-Markovian open quantum systems is verified. Meanwhile, the influences of different control parameters and cut-off frequencies on the system performance are analyzed.