论文标题
千里布尔 - Zurek以外的量子相变的动力学和相关性
Dynamics and correlations at a quantum phase transition beyond Kibble-Zurek
论文作者
论文摘要
Kibble-Zurek理论（KZ）是相变动力学中缺陷产生的最坚固的理论。 KZ利用远离过渡点的平衡状态的结构来估算使用绝热和冲动近似值过渡引起的激发。在这里，我们显示的是，实际的非平衡动力学导致与KZ的质不同情况不同，与缺陷（而不是其密度）之间的相关性有关。我们表明，对于量子链链，这会导致域壁（KINKS）相关性的高斯空间衰减，而KZ可以预测指数下降。我们基于假定冲动制度中局部相关因子的“量子构成”动力学，在KZ之上提出了一个简单但一般的框架。我们概述了图片如何扩展到通用互动情况。
Kibble-Zurek theory (KZ) stands out as the most robust theory of defect generation in the dynamics of phase transitions. KZ utilizes the structure of equilibrium states away from the transition point to estimate the excitations due to the transition using adiabatic and impulse approximations. Here we show, the actual nonequilibrium dynamics lead to a qualitatively different scenario from KZ, as far correlations between the defects (rather than their densities) are concerned. For a quantum Ising chain, we show, this gives rise to a Gaussian spatial decay in the domain wall (kinks) correlations, while KZ would predict an exponential fall. We propose a simple but general framework on top of KZ, based on the "quantum coarsening" dynamics of local correlators in the supposed impulse regime. We outline how our picture extends to generic interacting situations.
