Adiabatic passage employs a slowly varying time-dependent Hamiltonian to control the evolution of a quantum system along the Hamiltonian eigenstates. For processes of finite duration, the exact time-evolving state may deviate from the adiabatic eigenstate at intermediate times, but in numerous applications it is observed that this deviation reaches a maximum and then decreases significantly towards the end of the process. We provide a straightforward theoretical explanation for this welcome but often unappreciated fact. Our analysis emphasizes a separate adiabaticity criterion for high-fidelity state-to-state transfer and it points to new effective shortcut strategies for near-adiabatic dynamics.

中文翻译：

---

重温绝热定理：绝热通道出乎意料的好表现

绝热通道采用缓慢变化的时间相关哈密顿量来控制量子系统沿哈密顿本征态的演化。对于有限持续时间的过程，确切的时间演化状态可能会在中间时间偏离绝热本征状态，但在许多应用中，观察到这种偏差达到最大值，然后在接近过程结束时显着减小。我们为这个受欢迎但往往不被重视的事实提供了一个直接的理论解释。我们的分析强调了高保真状态到状态转移的单独绝热标准，并指出了近绝热动力学的新有效捷径策略。