强弱对称性划分 universality 类别
Universality classes split by strong and weak symmetries
AI总结：
研究发现强弱对称性导致不同的动态universality类别，通过压缩光子模型展示了强对称性对耗散临界性的重塑作用。
摘要：
耗散相变强烈受到李群对称性的影响，但弱对称性和强对称性对临界行为的定量影响仍然不清楚。我们研究了一个压缩光子模型，具有单光子和双光子损耗，从而在最简单的设置中实现了弱和强对称性。这两种对称性表现出相同的高斯静态波动，而序参数和渐近衰减率显示出不同的缩放行为。我们的单环Keldysh分析以及累积展开数值分析揭示了与热力学缩放参数相关的临界缩放行为存在显著差异。这证明了尽管来自闭合系统的相同对称群，强和弱对称性导致了不同的动态universality类别。我们的结果提供了一个清晰的定量证明，表明强对称性从根本上重塑了耗散临界性。
英文摘要：
Dissipative phase transitions are strongly shaped by the symmetries of the Liouvillian, yet a clear understanding of the quantitative impact of weak and strong symmetries on critical behavior is presently lacking. We study a squeezed-photon model with single- and two-photon losses, realizing weak and strong symmetries in the simplest possible setting. The two symmetries exhibit identical Gaussian static fluctuations, whereas the order parameter and the asymptotic decay rate display distinct scaling behaviors. Our one-loop Keldysh analysis, together with cumulant-expansion numerics, reveals sharply different critical scaling with respect to the thermodynamic scaling parameter. This shows that weak and strong symmetries lead to distinct dynamical universality classes despite originating from the same symmetry group in the closed system. Our results provide a clear quantitative demonstration that strong symmetries fundamentally reshape dissipative criticality.
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