论文标题

在量子狂犬模型中解剖超级相变

Dissecting Superradiant Phase Transition in the Quantum Rabi Model

论文作者

Yang, Yun-Tong, Luo, Hong-Gang

论文摘要

相位过渡在自然或实验室上既在热力学和机械上都普遍存在,其理解仍然是现代物理和相关学科中最活跃的问题之一。 Landau的理论提供了一个通用框架,以描述\ textit {现象学上}通过引入顺序参数和相关的对称性破坏的相变;并且也被视为探索与重新归一化组相关的关键现象的起点,该群体对临界点附近的行为提供了完整的理论描述。从这个意义上讲,相变的微观机制仍然待发现。在这里,我们首次尝试探索量子兔模型(QRM)中超级相变的显微镜机理。首先,我们在操作员空间中进行对角线化,以获得QRM中涉及的三种基本模式,然后通过增加耦合强度明确分析其能量演变。特征行为发现揭示了超级相变的显微镜机制:一个活动以驱动相变的发生,第二个响应迅速对活动模式的变化,并唤醒了第三个模式以稳定新阶段。这种解剖机制首次解释了为什么以及如何发生QRM中的超级阶段过渡,并铺平了一种探索在自然界中普遍发生的相变的微观机制的方法。

The phase transition is both thermodynamically and quantum-mechanically ubiquitous in nature or laboratory and its understanding is still one of most active issues in modern physics and related disciplines. The Landau's theory provides a general framework to describe \textit{phenomenologically} the phase transition by the introduction of order parameters and the associated symmetry breakings; and is also taken as starting point to explore the critical phenomena in connection with phase transitions in renormalization group, which provides a complete theoretical description of the behavior close to the critical points. In this sense the microscopic mechanism of the phase transition remains still to be uncovered. Here we make a first attempt to explore the microscopic mechanism of the superradiant phase transition in the quantum Rabi model (QRM). We firstly perform a diagonalization in an operator space to obtain three fundamental patterns involved in the QRM and then analyze explicitly their energy evolutions with increasing coupling strengths. The characteristic behaviors found uncover the microscipic mechanism of the superradiant phase transition: one is active to drive the happening of phase transition, the second responses rapidly to the change of the active pattern and wakes up the third pattern to stablize the new phase. This kind of dissecting mechanism explains for the first time why and how happens the superradiant phase transition in the QRM and paves a way to explore the microscopic mechanism of the phase transitions happening popularly in nature.

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