论文标题
非绝热过渡的界限
Bounds for nonadiabatic transitions
论文作者
论文摘要
我们从绝热扰动理论的角度和量子速度限制的角度讨论了非绝热过渡的界限。我们表明，从$ n $ th Level的非绝热过渡到$ m $ thever的数量受$ M $ th级别的量子几何张量的函数。我们从绝热扰动理论的角度分析了这一约束。此外，量子速度极限的这种结合和观点表明，动态转换与绝热转换之间的非平凡关系。我们还为任何非绝热过渡提供了通用界限。该界限是根据抵绝热的哈密顿量写成的。
We discuss bounds for nonadiabatic transitions from the viewpoints of the adiabatic perturbation theory and the quantum speed limit. We show that the amount of nonadiabatic transitions from the $n$th level to the $m$th level is bounded by a function of the quantum geometric tensor for the $m$th level. We analyze this bound from the viewpoint of the adiabatic perturbation theory. In addition, this bound and the viewpoint of the quantum speed limit suggest nontrivial relationship between the dynamical transformation and the adiabatic transformation. We also derive a universal bound for any nonadiabatic transition. This bound is written in terms of the counterdiabatic Hamiltonian.
