论文标题
定义量子兔哈密顿量的半经典极限
Defining the semiclassical limit of the quantum Rabi Hamiltonian
论文作者
论文摘要
令人惊讶的是，从量子到半经典行为的跨越跨界行为仍然缺乏完整而严格的理解。在这里开发了一种直接从量子哈密顿量衍生的半经典模型的形式主义。在流离失所的Fock-State基础上工作$ \lvertα，n \ rangle $，通过将$ \ lvert的α\ rvert \ to \ iftty $和耦合达到零来获得半经典限制。这可以解决标准和超局势耦合/驾驶方案中相干状态动力学与半经典兔振荡之间的差异。此外，它为研究量子到古典过渡提供了一个框架，并在量子技术中使用了潜在的应用。
The crossover from quantum to semiclassical behavior in the seminal Rabi model of light-matter interaction still, surprisingly, lacks a complete and rigorous understanding. A formalism for deriving the semiclassical model directly from the quantum Hamiltonian is developed here. Working in a displaced Fock-state basis $\lvert α, n \rangle$, the semiclassical limit is obtained by taking $\lvert α\rvert \to \infty$ and the coupling to zero. This resolves the discrepancy between coherent-state dynamics and semiclassical Rabi oscillations in both standard and ultrastrong coupling/driving regimes. Furthermore, it provides a framework for studying the quantum-to-classical transition, with potential applications in quantum technologies.
