动力学结构因子是实验上可以直接观测的重要物理量之一，非弹性中子散射能够直接探测它，并通过散射谱来获得对材料基态的认识，以及交换耦合相互作用的判断。数值上对它的计算模拟不仅可以帮助拟合实验结果，还能诊断和预测新材料。现有的计算方法中以量子蒙卡的解析延拓和矩阵乘积态的chebyshev多项式展开方法为主，但它们都有缺点。最近Verstraete等人发展了基于矩阵乘积态的切空间投影的求解含时薛定谔方程的方法，能够更准确的模拟出算符的时间关联函数。我们由此提出用该算法来计算动力学结构因子，可以用来检验拓扑量子自旋液体态中的spinon能带和连续激发谱，来判断目标模型是否存在拓扑量子自旋液体态。

Dynamic structure factor is one of the direct experimental observables, which can be probed with inelastic neutron scattering experiment. Its numerical simulation has significant importance. It can be used to help fitting experimental data, and diagnose or predict exotic quantum materials. Currently there are two major numerical methods to compute dynamic structure factor, one is the recently developed Stochastic Analytical Continuation method, another is the Chebyshev matrix product state method. Both of them have some disadvantage. Most recently, Verstraete et al. proposed Time Dependent Variational Principle for matrix product state to calculate real time evolution, it has been shown to be superior to the previous time evolving block decimation method. We therefore plan to use this new developed time evolution method to compute dynamic structure factor of certain 2 dimensional model Hamiltonians, which can be used to diagnose topological quantum spin liquid by detecting single spinon band and two spinon continuum in a topological quantum spin liquid.