论文标题
典型合奏的随机相产品
Random Phase Product Sate for Canonical Ensemble
论文作者
论文摘要
提出了随机相乘积状态（RPP）的方法来计算矩阵乘积状态以及一般张量网络状态所描述的量子系统的规范集成平均值。 RPP方法是用于全希伯特空间表示的随机相状方法的扩展。该方法的有效性通过比较具有开放边界条件的N位点抗磁性自旋1/2的平均能量与直接方法（最多n = 14）的结果和最小纠缠的典型热状态（METTS）方法（n = 100）。讨论了RPP的数值优势，例如并行化，在不同温度下的热平均值的组合计算，用于控制误差的参数。除了典型性之外，还强调了随机状态方法超级连接的自我平衡的观点。
Method of random phase product state (RPPS) is proposed to calculate canonical ensemble average of quantum systems described with matrix product states and also with tensor network states in general. The RPPS method is an extension of the method of random phase state for full Hilbert space representation. The validity of the method is confirmed by comparing the average energy of N-site antiferromagnetic spin-1/2 Heisenberg chain model with open boundary conditions with the result of direct method (for up to N=14) and minimally entangled typical thermal state (METTS) method (for N=100). Numerical advantages of the RPPS such as parallelization, combined calculation of thermal averages at different temperatures, parameters for controlling error are discussed. View point of self-averaging for the super-convergence of random state method is emphasized in addition to that of typicality.
