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
摘要：
研究了量子自旋系统{在无限随机临界点附近}的非线性响应。非线性动力学探针，如二维（2D）相干光谱，可以诊断在这样的系统中的激发的近局域化的字符。{We给出了一维随机横场伊辛模型非线性响应的精确结果，从中提取了线性响应中不存在的临界行为信息。我们的分析产生了精确的比例形式的弛豫时间的分布函数，从现实的渠道，在随机磁体耗散的结果}。我们认为，我们的结果捕获的弛豫时间和非线性响应的一般随机量子磁体在任何空间维度的标度。
英文摘要：
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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