论文标题
具有远距离相互作用的二维三角伊斯丁晶格的动态特性的数值探针
Numerical Probe of Dynamical Properties of a Two-Dimensional Triangular Ising Lattice with Long-Range Interaction
论文作者
论文摘要
通过在2012年国家标准和技术的二维三角旋转晶格实现实验性的激励，我们开发了一种新的算法，该算法允许MPS与汉密尔顿人具有远距离相互作用的MPS的时间演变。该算法基于具有Krylov子空间扩展步骤的广义铃木 - 漫游分解。在基准测试中，它预测了5个小数点内的5个小数点内的正确局部磁化行为，它为Haldane-Shastry Odel的基态提供了正确的，最多可达44个地点进化的小数小数。它给出了一种全球磁性行为，与时间依赖的变分原理算法一致。该算法应用于无限圆柱体表面的三角形晶格上的全局淬火。该算法在深度淬火后成功地表明了初始状态的热量，证明该算法是否在准二维系统中按时演变起作用。
Motivated by the experimental realisation of the two-dimensional triangular spin lattice at the National Instate of Standards and Technology in 2012, we developed a new algorithm which allows a time evolution of an MPS with a Hamiltonian with long-range interactions. The algorithm is based on generalised Suzuki-Trotter decompositions with Krylov subspace expansion steps. In the benchmark tests, it predicted the correct local magnetisation behaviour within 5 decimal places up to t\sim 8, it provided the ground state energy of Haldane-Shastry odel correctly up to 4 decimal places for evolution with 64 sites; and it gave a global magnetisation behaviour which agrees with Time Dependent Variational Principle algorithm. The algorithm is applied to a global quench on the triangular Ising lattice on the surface of an infinite cylinder. The algorithm successfully showed the thermalisation of the initial state after a deep quench proving that the algorithm works on time evolutions in a quasi-two-dimensional system.
