论文标题
非马克维亚量子系统的轨迹跟踪
Trajectory tracking for non-Markovian quantum systems
论文作者
论文摘要
我们提出了一个系统的方案，以设计由无时间对抗的非马克维亚主方程的量子系统的量子状态。根据逆向工程的想法，提出了确定控制参数的一般代数方程，例如相干和不一致的控制场。如果没有人为地设计时间依赖的衰减速率并保留了环境引起的羔羊的偏移，量子状态仍然可以在有限的时期内沿着希尔伯特（Hilbert）空间中的任意设计的轨迹转移到目标状态。作为应用程序，我们将方案应用于驱动的两级非马克维亚系统，并实现瞬时状态跟踪和完整的种群反演，具有在实验设置中可用的控制参数。
We propose a systematic scheme to engineer quantum states of a quantum system governed by a time-convolutionless non-Markovian master equation. According to the idea of reverse engineering, the general algebraic equation to determine the control parameters, such as coherent and incoherent control fields, is presented. Without artificially engineering the time-dependent decay rates and retaining the environment-induced Lamb shifts, the quantum state can still be transferred into the target state in a finite period of time along an arbitrary designed trajectory strictly in Hilbert space. As an application, we apply our scheme to a driven two-level non-Markovian system and realize instantaneous-steady-state tracking and a complete population inversion with control parameters which are available in experimental settings.
