论文标题
对不稳定的非线性量子系统的强大控制
Robust Control of Unstable Non-linear Quantum Systems
论文作者
论文摘要
绝热通道是在量子系统中实现可靠传输的标准工具。我们表明，在驱动的非线性汉密尔顿系统的背景下，当目标不稳定时，绝热通道变得高度不稳定。我们显示了通用（1：2）共振的结果，为此，完整的转移对应于经典相位空间中的双曲线固定点，其具有绝热连通性对模型的小扰动非常敏感。通过逆工程，我们设计了高保真性和鲁棒性轨迹。它们位于距离稳定歧管附近目标的接近，这将动力学以强大的方式向目标驱动。这些结果可以适用于原子分子玻色子凝结物转化率和非线性光学元件。
Adiabatic passage is a standard tool for achieving robust transfer in quantum systems. We show that, in the context of driven nonlinear Hamiltonian systems, adiabatic passage becomes highly non-robust when the target is unstable. We show this result for a generic (1:2) resonance, for which the complete transfer corresponds to a hyperbolic fixed point in the classical phase space featuring an adiabatic connectivity strongly sensitive to small perturbations of the model. By inverse engineering, we devise high-fidelity and robust partially non-adiabatic trajectories. They localize at the approach of the target near the stable manifold of the separatrix, which drives the dynamics towards the target in a robust way. These results can be applicable to atom-molecule Bose-Einstein condensate conversion and to nonlinear optics.
