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摘要翻译：
我们证明了对于一个D维模型，其中速率为tau{-1}的淬火使系统跨越一个d-m维临界面，缺陷密度标度为n\sim1/tau{m\nu/(z\nu+1)}，其中nu和z是表征临界面的相关长度和动力学临界指数。我们明确地证明了Kitaev模型提供了一个d=2和m=\nu=z=1的这种标度的例子。我们还提供了一个精确计算二维多自旋关联函数的第一个例子，它可以用来确定缺陷之间的关联。我们建议可能的实验来检验我们的理论。
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英文标题：
《Exact results for quench dynamics and defect production in a
two-dimensional model》
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作者：
K. Sengupta, Diptiman Sen, Shreyoshi Mondal
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最新提交年份：
2008
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分类信息：
一级分类：Physics 物理学
二级分类：Statistical Mechanics 统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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一级分类：Physics 物理学
二级分类：Strongly Correlated Electrons 强关联电子
分类描述：Quantum magnetism, non-Fermi liquids, spin liquids, quantum criticality, charge density waves, metal-insulator transitions
量子磁学，非费米液体，自旋液体，量子临界性，电荷密度波，金属-绝缘体跃迁
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英文摘要：
We show that for a d-dimensional model in which a quench with a rate \tau^{-1} takes the system across a d-m dimensional critical surface, the defect density scales as n \sim 1/\tau^{m\nu/(z\nu +1)}, where \nu and z are the correlation length and dynamical critical exponents characterizing the critical surface. We explicitly demonstrate that the Kitaev model provides an example of such a scaling with d=2 and m=\nu=z=1. We also provide the first example of an exact calculation of some multispin correlation functions for a two-dimensional model which can be used to determine the correlation between the defects. We suggest possible experiments to test our theory.
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PDF链接：
https://arxiv.org/pdf/710.1712
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