二维经典自旋系统的快拍谱与临界现象
Snapshot spectrum and critical phenomenon for two-dimensional classical spin systems
摘要：
研究了二维经典自旋系统的蒙特卡罗模拟产生的快拍密度矩阵（SDM）的本征值分布。我们发现，在高温极限的分布可以很好地解释的随机矩阵理论，而在低温极限的分布可以表征的零特征值凝聚。在临界点处，根据SDM与关联函数矩阵的关系，得到了具有非平凡指数$α\equiv(2-η)/(1-η)$的幂律分布和快照熵的渐近形式.还提到了SDM光谱的纵横比依赖性。
英文摘要：
We investigate the eigenvalue distribution of the snapshot density matrix (SDM) generated by Monte Carlo simulation for two-dimensional classical spin systems. We find that the distribution in the high-temperature limit is well explained by the random-matrix theory, while that in the low-temperature limit can be characterized by the zero-eigenvalue condensation. At the critical point, we obtain the power-law distribution with a nontrivial exponent $α\equiv(2-η)/(1-η)$ and the asymptotic form of the snapshot entropy, on the basis of the relationship of the SDM with the correlation function matrix. The aspect-ratio dependence of the SDM spectrum is also mentioned.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
