论文标题
各向异性量子狂犬模型中超级相变的通用动力学
Universal dynamics of superradiant phase transition in the anisotropic quantum Rabi model
论文作者
论文摘要
我们研究了各向异性量子狂犬模型中超级相变的普遍非平衡动力学。通过引入位置和动量操作员,我们通过扰动理论获得了正常和超级阶段的基态及其激发差距。我们从临界点附近的激发差距和分化长度尺度中分析提取临界指数,并发现关键指数在各向异性比率上是独立的。此外,通过模拟整个临界点的实时动力学,我们从数值中从相变延迟和分化长度尺度中提取临界指数,这与分析性方面非常一致。我们的研究提供了一种动态的方式来探索量子狂犬模型中的普遍关键行为。
We investigate the universally non-equilibrium dynamics of superradiant phase transition in the anisotropic quantum Rabi model. By introducing position and momentum operators, we obtain the ground states and their excitation gaps for both normal and superradiant phases via perturbation theory. We analytically extract the critical exponents from the excitation gap and the diverging length scale near the critical point, and find that the critical exponents are independent upon the anisotropy ratio. Moreover, by simulating the real-time dynamics across the critical point, we numerically extract the critical exponents from the phase transition delay and the diverging length scale, which are well consistent with the analytical ones. Our study provides a dynamic way to explore universal critical behaviors in the quantum Rabi model.