论文标题

随机量子磁体非线性光谱的渐近精确理论

Asymptotically exact theory for nonlinear spectroscopy of random quantum magnets

论文作者

Parameswaran, S. A., Gopalakrishnan, Sarang

论文摘要

我们研究量子自旋系统中的非线性响应(近无限随机临界点}。非线性动力学探针,例如二维(2D)相干光谱,可以诊断此类系统中激发的几乎局部特征。 {我们在1D随机横向场模型中提出了非线性响应的确切结果,我们从线性响应中提取有关关键行为的信息。我们的分析得出了由随机磁体耗散的倒数通道导致的放松时间的分布函数的精确缩放形式。我们认为,我们的结果捕获了任何空间维度中通用随机量子磁体中松弛时间和非线性响应的缩放。

We study nonlinear response in quantum spin systems {near infinite-randomness critical points}. Nonlinear dynamical probes, such as two-dimensional (2D) coherent spectroscopy, can diagnose the nearly localized character of excitations in such systems. {We present exact results for nonlinear response in the 1D random transverse-field Ising model, from which we extract information about critical behavior that is absent in linear response. Our analysis yields exact scaling forms for the distribution functions of relaxation times that result from realistic channels for dissipation in random magnets}. We argue that our results capture the scaling of relaxation times and nonlinear response in generic random quantum magnets in any spatial dimension.

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