论文标题
腕骨演化下的量子速度极限
Quantum Speed Limit under Brachistochrone Evolution
论文作者
论文摘要
根据时间和能量波动之间的海森堡不确定性原理，已经建立了量子速度极限（QSL）的概念，以确定量子状态之间的最小进化时间。在各种情况下，投入了大量的理论和实验努力来获得QSL时间界。但是，得出有意义的QSL绑定到一般量子问题仍然是一个长期的目标。在这里，我们提出了一种几何方法，以推导针对封闭和开放量子系统结合的QSL。通过在Riemannian度量的框架中求解量子腕骨问题，我们表明，给定初始状态到最终状态之间的QSL不仅取决于系统的整个动力学，而且还取决于关键参数的单个动力学。我们体现了在三个代表性场景中新界限的实用性，这证明了在找到一般量子进化问题的紧密而有意义的QSL结合方面具有明显的优势。
According to the Heisenberg uncertainty principle between time and energy fluctuation, a concept of the quantum speed limit (QSL) has been established to determine the minimum evolutionary time between quantum states. Considerable theoretical and experimental efforts are invested in obtaining the QSL time bounds in various scenarios. However, it remains a long-standing goal to derive a meaningful QSL bound for a general quantum problem. Here, we propose a geometrical approach to derive a QSL bound for closed and open quantum systems. By solving a quantum brachistochrone problem in the framework of the Riemannian metric, we show that the QSL between a given initial state to a final state is determined not only by the entire dynamics of the system but also by the individual dynamics of a critical parameter. We exemplify the utility of the new bound in three representative scenarios, demonstrating a pronounced advantage in finding a tight and meaningful QSL bound of a general quantum evolution problem.
