反向量子速度限制：量子电池放电有多慢？
Reverse Quantum Speed Limit: How Slow Quantum Battery can Discharge?
摘要：
我们引入了任意量子演化的反向量子速度极限的概念，它回答了一个基本问题：“量子系统在时间上可以演化得多慢？”"使用量子力学的几何方法，反向速度极限来自参考截面的规范不变长度总是大于量子系统的投影希尔伯特空间上的Fubini-Study距离。我们说明了具有外部驱动哈密顿量的二能级量子系统的反向速度极限，并表明我们的结果保持良好。我们找到几个例子，我们的界限是紧的。我们还发现了反向速度限制在量子电池放电过程中的一个实际应用，它回答了“量子电池能放电多慢？”“我们的结果提供了量子电池平均放电功率的下限。
英文摘要：
We introduce the notion of reverse quantum speed limit for arbitrary quantum evolution which answers a fundamental question: ``how slow a quantum system can evolve in time?" Using the geometrical approach to quantum mechanics, the reverse speed limit follows from the fact that the gauge invariant length of the reference section is always greater than the Fubini-Study distance on the projective Hilbert space of the quantum system. We illustrate the reverse speed limit for two-level quantum systems with an external driving Hamiltonian and show that our results hold well. We find several examples where our bound is tight. We also find one practical application of the reverse speed limit in discharging process of quantum batteries which answers the question: ``how slow quantum batteries can discharge?" Our result provides a lower bound on the average discharging power of quantum batteries.
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