论文标题
关于驱动的两级量子系统中呼声效应的信息几何观点
Information Geometric Perspective on Off-Resonance Effects in Driven Two-Level Quantum Systems
论文作者
论文摘要
我们提出了对准确解决的通用半古典狂犬病系统类别的非谐波影响的信息几何分析。具体而言,我们考虑由SU(2; c)时间依赖性汉密尔顿模型指定的四种不同的非谐波驾驶方案执行的种群转移。对于每种方案,我们研究了从地球途径和地球速度的相应歧视概率向量的差异路径和地球速度方面的偏离条件的后果。特别是,我们分析了每种驾驶方案的鲁棒性,以防止异位效应。此外,我们报告了正在调查的驾驶计划中速度和鲁棒性之间可能的权衡。最后,我们讨论了从抗谐波到偏置方案过渡时,各种驾驶方案之间的性能中不同的相对排名的出现。
We present an information geometric analysis of off-resonance effects on classes of exactly solvable generalized semi-classical Rabi systems. Specifically, we consider population transfer performed by four distinct off-resonant driving schemes specified by su(2; C) time-dependent Hamiltonian models. For each scheme, we study the consequences of a departure from the on-resonance condition in terms of both geodesic paths and geodesic speeds on the corresponding manifold of transition probability vectors. In particular, we analyze the robustness of each driving scheme against off-resonance effects. Moreover, we report on a possible tradeoff between speed and robustness in the driving schemes being investigated. Finally, we discuss the emergence of a different relative ranking in terms of performance among the various driving schemes when transitioning from on-resonant to off-resonant scenarios.