Universal spectral form factor for many-body localization
Universal spectral form factor for many-body localization
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DOI：
10.1103/physrevresearch.3.l012019
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发表时间：
2020-08
期刊：
影响因子：
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通讯作者：
A. Prakash;J. Pixley;M. Kulkarni
中科院分区：
文献类型：
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作者：
A. Prakash;J. Pixley;M. Kulkarni
我们从理论上研究多体局部系统频谱中存在的普遍相关性。我们获得了泊松谱的光谱形状因子的精确解析表达式，并表明它与表现出多体局域化的两个模型的数值结果非常吻合：无序量子自旋链和基于局部运动积分存在的现象学 l 位模型。我们发现泊松谱形状因子的函数形式与从随机矩阵理论获得的量子混沌系统的普遍期望不同但互补。
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.