使用约束在控制环境中引导优化路径
Steering the optimization pathway in the control landscape using constraints
摘要：
我们展示了如何额外的约束，限制优化脉冲的频谱或限制系统动力学，可以用来引导优化量子控制对不同的解决方案。我们的例子是原子中的多光子激发和分子中的振动布居转移。我们表明，光谱约束是最有效的，在执行非共振双光子吸收途径的原子，避免不必要的宽光谱的拉曼跃迁的分子。虽然限制系统停留在允许的子空间中的约束也能够识别非共振激励路径，但它不能避免脉冲谱中的伪峰。这两个约束是兼容的单调收敛，但意味着不同的额外的数值成本。
英文摘要：
We show how additional constraints, restricting the spectrum of the optimized pulse or confining the system dynamics, can be used to steer optimization in quantum control towards distinct solutions. Our examples are multi-photon excitation in atoms and vibrational population transfer in molecules. We show that a spectral constraint is most effective in enforcing non-resonant two-photon absorption pathways in atoms and avoiding unnecessarily broad spectra in Raman transitions in molecules. While a constraint restricting the system to stay in an allowed subspace is also capable of identifying non-resonant excitation pathways, it does not avoid spurious peaks in the pulse spectrum. Both constraints are compatible with monotonic convergence but imply different additional numerical costs.
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