非遍历扩展态在 Sachdev-Ye-Kitaev 模型中的研究。
Nonergodic Extended States in the Sachdev-Ye-Kitaev Model.
机构信息
Centro Brasileiro de Pesquisas Físicas, Rua Xavier Sigaud 150, 22290-180, Rio de Janeiro, Brazil.
Institut für Theoretische Physik, Universität zu Köln, Zülpicher Str. 77, 50937 Cologne, Germany.
出版信息
Phys Rev Lett. 2019 Sep 20;123(12):125701. doi: 10.1103/PhysRevLett.123.125701.
We analytically study spectral correlations and many body wave functions of a Sachdev-Ye-Kitaev model deformed by a random Hamiltonian diagonal in Fock space. Our main result is the identification of a wide range of intermediate coupling strengths where the spectral statistics is of Wigner-Dyson type, while wave functions are nonuniformly distributed over Fock space. The structure of the theory suggests that such manifestations of nonergodic extendedness may be a prevalent phenomenon in many body chaotic quantum systems.
我们分析研究了由福克空间中对角的随机哈密顿量变形的 Sachdev-Ye-Kitaev 模型的谱关联和多体波函数。我们的主要结果是确定了一个广泛的中间耦合强度范围，在这个范围内，谱统计是 Wigner-Dyson 类型的，而波函数在福克空间中不均匀地分布。该理论的结构表明，这种非遍历扩展的表现形式可能是许多体混沌量子系统中的一种普遍现象。
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