标题： 通过纠缠谱识别二维拓扑相变：费米子蒙特卡罗研究 显示英文标题

标题： Identifying two-dimensional topological phase transition by entanglement spectrum : A fermion Monte Carlo study

摘要： 在许多类型的量子纠缠性质中，纠缠谱比其他可观测量提供更丰富的信息。 精确对角化和密度矩阵重整化群方法可以正确处理一维系统，而在更高维度，这超出了算法的能力。 为了扩展现有数值方法的能力，我们通过量子蒙特卡洛算法采取了不同的方法。 通过利用粒子数和自旋对称性，我们实现了一个高效的算法来求解相互作用费米系统的纠缠谱。 以二维相互作用的Su-Schrieffer-Heeger模型为例，我们验证了在不同类型的多体相互作用下拓扑相变的存在。 计算得到的粒子数分布和纠缠哈密顿量的波函数表明，两者属于不同类型的拓扑相变。 显示英文摘要

摘要： Among many types of quantum entanglement properties, the entanglement spectrum provides more abundant information than other observables. Exact diagonalization and density matrix renormalization group method could handle the system in one-dimension properly, while in higher dimension, it exceeds the capacity of the algorithms. To expand the ability of existing numerical methods, we takes a different approach via quantum Monte Carlo algorithm. By exploiting particle number and spin symmetry, we realize an efficient algorithms to solve the entanglement spectrum in the interacting fermionic system. Taking two-dimensional interacting Su-Schrieffer-Heeger as example, we verify the existence of topological phase transition under different types of many-body interactions. The calculated particle number distribution and wave-function of entanglement Hamiltonian indicate that the two belong distinct types of topological phase transitions.