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通过H₂⁺中与取向相关的高次谐波产生来定制光学薛定谔猫态

Tailoring optical Schrödinger cat states via orientation-dependent high-harmonic generation in $\rm{H}_2^+$

Ziyang Gan, Ahai Chen, Yuhai Jiang

arXiv 2607.21248首次发表:更新:

AI 中文总结

研究通过H₂⁺中与取向相关的高次谐波产生定制光学薛定谔猫态,结合含时薛定谔方程模拟与HHG框架,在两种互补策略下评估维格纳函数,利用跃迁规则及干涉实现转变,且交叉与多种因素解耦,提供独特控制。

AI 中文摘要

我们从理论上证明,分子取向角θ为通过H₂⁺中的高次谐波产生(HHG)来设计光学薛定谔猫态提供了一个结构上固有的、连续可调的控制参数。将含时薛定谔方程模拟与完全量子化的HHG框架相结合,我们在两种互补的条件策略下评估了后选谐波模式态的维格纳函数。基于共振增强的低阶谐波的条件利用了1σg→1σu和1σg→1πu跃迁的互补偶极选择规则,驱动小猫 - 猫的交叉,其方向在两个通道中随θ变化而相反。基于平台谐波的条件则利用双中心相消干涉,产生由与阶数相关的干涉角θ*(q)控制的心形线→小猫→心形线的转变。在这两种情况下,交叉都与激光强度、聚焦几何形状和分子密度解耦,提供了一种原子靶中所没有的控制程度。

英文摘要

We theoretically demonstrate that the molecular orientation angle $θ$ provides a structurally intrinsic, continuously tunable control parameter for engineering optical Schrödinger cat states via high-harmonic generation (HHG) in H$_2^+$. Coupling time-dependent Schrödinger equation simulations to the fully quantized HHG framework, we evaluate the Wigner functions of the post-selected harmonic-mode states under two complementary conditioning strategies. Conditioning on resonance-enhanced low-order harmonics exploits the complementary dipole selection rules of the $1σ_g\to1σ_u$ and $1σ_g\to1π_u$ transitions, driving a kitten-cat crossover whose direction is opposite in the two channels as $θ$ is varied. Conditioning on plateau harmonics instead exploits two-center destructive interference, producing a reentrant cat$\to$kitten$\to$cat transition controlled by the order-dependent interference angle $θ^*(q)$. In both cases the crossover is decoupled from the laser intensity, focal geometry, and molecular density, offering a degree of control with no counterpart in atomic targets.

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