沿任意轨迹的量子态驱动
Quantum State Driving along Arbitrary Trajectories
AI总结：
本文从量子最速降线问题出发，求解有限资源下沿任意轨迹驱动量子态的最短时间及哈密顿量，推广至混合态，并与反绝热驱动对比，揭示Berry相位的作用。
摘要：
从无穷小形式的量子最速降线问题出发，我们求解了在有限资源下沿任意预分配轨迹驱动纯量子态所需的最短时间及相应的时间依赖哈密顿量。同时，我们展示了在有限资源下，所有可能的轨迹中哪些是物理上可实现的，哪些不是。随后，该解被推广到混合量子态情形，并应用于由离散或连续谱的单参数或多参数参数化的轨迹。接着，我们将该解与反绝热驱动解进行比较，并展示了Berry相位如何直接参与这两种驱动过程。
英文摘要：
Starting with the quantum brachistochrone problem of the infinitesimal form, we solve the minimal time and corresponding time-dependent Hamiltonian to drive a pure quantum state with limited resources along arbitrary pre-assigned trajectories. It is also shown that out of all possible trajectories, with limited resources, which are physically accessible and which are not. The solution is then generalized to the mixed quantum state cases, and applied to trajectories parameterized by single or multiple parameters with discrete or continuous spectrum. We then compare the solution to that of the counterdiabatic driving, and show how the Berry phase is directly involved in both driving processes.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
