论文标题
类似Syk的模型的热合奏的子系统熵
Subsystem Rényi Entropy of Thermal Ensembles for SYK-like models
论文作者
论文摘要
Sachdev-Ye-Kitaev模型是具有无限范围随机相互作用的$ n $ modes fermionic模型。在这项工作中，我们使用大致限制的路径综合形式主义研究了SYK模型子系统的热Rényi熵。结果与精确的对角线化[1]一致，当子系统尺寸$ M \ m \ leq n/2 $时，可以通过热熵（有效温度[2]）很好地近似。我们还考虑使用二次随机跳跃期或$ u（1）$收费保护的SYK模型的概括。
The Sachdev-Ye-Kitaev model is an $N$-modes fermionic model with infinite range random interactions. In this work, we study the thermal Rényi entropy for a subsystem of the SYK model using the path-integral formalism in the large-$N$ limit. The results are consistent with exact diagonalization [1] and can be well approximated by thermal entropy with an effective temperature [2] when subsystem size $M\leq N/2$. We also consider generalizations of the SYK model with quadratic random hopping term or $U(1)$ charge conservation.
