Graph-Theoretic Analysis of $n$-Replica Time Evolution in the Brownian Gaussian Unitary Ensemble

Tingfei Li, Jianghui Yu

In this paper, we investigate the $n$-replica time evolution operator ${\mathcal{U}}_n(t)\equiv e^{{\mathcal{L}}_{n}t}$ for the Brownian Gaussian Unitary Ensemble (BGUE) using a graph-t…