Distinct Bound of the Quantum Speed Limit via the Gauge Invariant Distance
Distinct Bound of the Quantum Speed Limit via the Gauge Invariant Distance
复制标题
通过规范不变距离确定量子速度极限的明确界限
DOI：
10.1103/physrevlett.123.180403
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发表时间：
2019
影响因子：
8.6
通讯作者：
Zheng Yujun
中科院分区：
文献类型：
--
作者：
Sun Shuning;Zheng Yujun
我们利用量子力学的规范不变性和几何性质推导出非厄米量子系统的量子速度极限的明显界限。该界限具有几何性质，因为它与量子系统的几何相位相关，并且在某些情况下比 Mandelstam-Tamm 和 Margolus-Levitin 界限更紧。此外，通过进行测地线假设，导出了与时间相关的（非）厄米量子系统的 Margolus-Levitin 界的模拟。这两个界限反映了状态向量的传输模式对流形演化路径的影响。
We derive a distinct bound of the quantum speed limit for a non-Hermitian quantum system by employing the gauge invariant and geometric natures of quantum mechanics. The bound is of geometric properties since it relates to the geometric phase of the quantum system, and it is tighter than the Mandelstam-Tamm and Margolus-Levitin bounds in some cases. Also, by making the geodesic assumption, the analog of the Margolus-Levitin bound is derived for the time-dependent (non-)Hermitian quantum system. These two bounds reflect the impacts of the transmission modes of the state vectors on the evolution path in the manifold.