Long-ranged spectral correlations in eigenstate phases
Long-ranged spectral correlations in eigenstate phases
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DOI：
10.1088/1751-8121/ad1342
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发表时间：
2022-07
期刊：
影响因子：
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通讯作者：
A. Prakash;Mahaveer Prasad;J. Pixley;M. Kulkarni
中科院分区：
文献类型：
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作者：
A. Prakash;Mahaveer Prasad;J. Pixley;M. Kulkarni
我们研究了谱关联的非局域测量及其在刻画和区分量子混沌系统和多体局域系统的不同本征态相位中的作用。我们集中在两个相关的量，光谱形状因子和所有光谱间隙的密度，并表明他们提供了独特的签名，可以用来准确地识别两个阶段。我们通过数值研究三个具有(I)猝灭无序、(Ii)周期驱动(Floquet)和(Iii)准周期失谐的一维量子自旋链模型来证明这一点。我们还澄清了签名在哪些方面是通用的，在哪些方面不是。更广泛地说，这种彻底的分析有望在对无序系统的相进行分类方面发挥有用的作用。
We study non-local measures of spectral correlations and their utility in characterizing and distinguishing between the distinct eigenstate phases of quantum chaotic and many-body localized systems. We focus on two related quantities, the spectral form factor and the density of all spectral gaps, and show that they furnish unique signatures that can be used to sharply identify the two phases. We demonstrate this by numerically studying three one-dimensional quantum spin chain models with (i) quenched disorder, (ii) periodic drive (Floquet), and (iii) quasiperiodic detuning. We also clarify in what ways the signatures are universal and in what ways they are not. More generally, this thorough analysis is expected to play a useful role in classifying phases of disorder systems.