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arXiv 1501.03495cond-mat.str-elcond-mat.quant-gascond-mat.stat-mechhep-lathep-th
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约束量子临界动力学:2+ 1维伊辛模型及以后

Constraining quantum critical dynamics: 2+1D Ising model and beyond

William Witczak-Krempa

摘要:

量子临界(QC)相变通常导致准粒子的缺失。由此产生的相关量子流体,当热激发时,显示丰富的普遍动力学。我们建立非微扰约束的线性响应动力学的保形QC系统在有限的温度下,在空间维度以上。具体来说,我们分析了大的频率/动量渐近的观测量,我们用它来获得强大的总和规则和不等式。一般结果适用于O(N)Wilson-Fisher不动点,描述N = 1时的QC伊辛模型。我们重点讨论了序参量和标量介电常数,以及动态剪切粘度。连接到模拟,实验和规范理论。

英文摘要:

Quantum critical (QC) phase transitions generally lead to the absence of quasiparticles. The resulting correlated quantum fluid, when thermally excited, displays rich universal dynamics. We establish non-perturbative constraints on the linear-response dynamics of conformal QC systems at finite temperature, in spatial dimensions above one. Specifically, we analyze the large frequency/momentum asymptotics of observables, which we use to derive powerful sum rules and inequalities. The general results are applied to the O(N) Wilson-Fisher fixed point, describing the QC Ising model when N = 1. We focus on the order parameter and scalar susceptibilities, and the dynamical shear viscosity. Connections to simulations, experiments and gauge theories are made.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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