论文标题
正弦家族中的一维型号中的有限温度动力学
Finite temperature dynamics in gapped 1D models in the sine-Gordon family
论文作者
论文摘要
正弦模型似乎是各种一维间隙量子系统的低能量有效场理论。在这里，我们研究了在有限的温度下，在半经典方法中，在有限温度下属于正弦家族的通用，不可积分系统的动力学。专注于时间尺度，非平凡的准粒子散射变得相关，我们获得了动态相关函数的长期行为的普遍结果。我们发现顶点操作员的相关函数既不是弹道，也不是扩散性的，而是遵循及时的伸展指数衰减。我们还研究了拓扑电流的完整计数统计数据，并发现转移电荷的分布是非高斯的，其累积物在及时地缩放不均匀。
The sine-Gordon model appears as the low-energy effective field theory of various one-dimensional gapped quantum systems. Here we investigate the dynamics of generic, non-integrable systems belonging to the sine-Gordon family at finite temperature within the semiclassical approach. Focusing on time scales where the effect of nontrivial quasiparticle scatterings becomes relevant, we obtain universal results for the long-time behavior of dynamical correlation functions. We find that correlation functions of vertex operators behave neither ballistically nor diffusively but follow a stretched exponential decay in time. We also study the full counting statistics of the topological current and find that distribution of the transferred charge is non-Gaussian with its cumulants scaling non-uniformly in time.
