多体定位的通用光谱形状因子

A. Prakash, J. Pixley, M. Kulkarni
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引用次数: 23

摘要

我们从理论上研究了多体定域系统谱中存在的普遍相关性。我们得到了泊松谱的谱形因子的精确解析表达式,并证明了它与两种具有多体局域化的模型(无序量子自旋链和基于局部运动积分存在的l位现象学模型)的数值结果很好地吻合。我们发现泊松谱形式因子的泛函形式与量子混沌系统从随机矩阵理论得到的普遍期望不同,但又相辅相成。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Universal spectral form factor for many-body localization
We theoretically study universal correlations present in the spectrum of many-body-localized systems. We obtain an exact analytical expression for the spectral form factor of Poisson spectra and show that it agrees well with numerical results on two models exhibiting a many-body-localization: a disordered quantum spin chain and a phenomenological l-bit model based on the existence of local integrals of motion. We find that the functional form of the Poisson spectral form factor is distinct from but complementary to the universal expectation of quantum chaotic systems obtained from random matrix theory.
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