标题： 螺旋重整化群流和非厄米5态Potts模型的普遍纠缠谱 显示英文标题

标题： Spiral renormalization group flow and universal entanglement spectrum of the non-Hermitian 5-state Potts model

摘要： 量子$5$-态 Potts 模型已知可以通过复共形场理论 (CCFT) 进行微扰描述，这是将“理论空间”解析延拓到复平面上的结果。 为了研究格点上的相应复固定点，由于其复系数$\lambda$，该模型必须通过一个额外的非厄米特项进行变形。 尽管在这种情况下变分原理失效，但我们证明张量网络算法仍然能够模拟这些非厄米特理论。 我们能够访问至多$L = 28$的系统尺寸，这使得可以观察到理论上预测的运行耦合的螺旋流。 此外，我们通过基态中编码的纠缠哈密顿量重建了完整的边界 CCFT 谱。 我们的工作展示了张量网络是如何正确的方法来捕捉弱一阶相变的近似共形不变性。 显示英文摘要

摘要： The quantum $5$-state Potts model is known to possess a perturbative description using complex conformal field theory (CCFT), the analytic continuation of ``theory space" to a complex plane. To study the corresponding complex fixed point on the lattice, the model must be deformed by an additional non-Hermitian term due to its complex coefficient $\lambda$. Although the variational principle breaks down in this case, we demonstrate that tensor network algorithms are still capable of simulating these non-Hermitian theories. We access system sizes up to $L = 28$, which enable the observation of the theoretically predicted spiral flow of the running couplings. Moreover, we reconstruct the full boundary CCFT spectrum through the entanglement Hamiltonian encoded in the ground state. Our work demonstrates how tensor networks are the correct approach to capturing the approximate conformal invariance of weakly first-order phase transitions.