论文标题
三级系统中绝热和超绝热过程的主要代表
Majorana representation of adiabatic and superadiabatic processes in three-level systems
论文作者
论文摘要
我们表明，刺激的拉曼绝热通道（Stirap）及其超绝热版本（Sastirap）在Majoragan球体上具有自然的几何两星级代表。在搅拌的情况下，我们发现演变仅限于垂直平面。可以在Sastirap方案中实现更快的进化，该协议采用抵绝热的哈密顿量消除了非绝热激发。我们在Majorana图片中得出了这一哈密顿量，我们观察到，在现实的实验参数下，反浸润术语如何纠正Majoragan恒星向黑暗状态的轨迹。我们还引入了自旋1平均向量，并在这两个过程中提出了其演变，表明它提供了非绝热性的度量。我们表明，由于AC僵化的移位和非绝热跃迁，MajoraNA表示可以用作检测过程误差的敏感工具。最后，我们将这些结果扩展到混合状态和具有腐烂的过程。
We show that stimulated Raman adiabatic passage (STIRAP) and its superadiabatic version (saSTIRAP) have a natural geometric two-star representation on the Majorana sphere. In the case of STIRAP, we find that the evolution is confined to a vertical plane. A faster evolution can be achieved in the saSTIRAP protocol, which employs a counterdiabatic Hamiltonian to nullify the non-adiabatic excitations. We derive this Hamiltonian in the Majorana picture, and we observe how, under realistic experimental parameters, the counterdiabatic term corrects the trajectory of the Majorana stars toward the dark state. We also introduce a spin-1 average vector and present its evolution during the two processes, demonstrating that it provides a measure of nonadiabaticity. We show that the Majorana representation can be used as a sensitive tool for the detection of process errors due to ac Stark shifts and non-adiabatic transitions. Finally, we provide an extension of these results to mixed states and processes with decoherence.
