用随机相位和Trotter门方法求解有限温度量子系统的矩阵乘积态
Matrix product state approach for a quantum system at finite temperatures using random phases and Trotter gates
摘要：
我们发展了一种基于矩阵乘积态的数值方法来模拟有限温度下的量子多体系统，并且在自旋为1/2的系统中评估了它的性能。我们的方法是最近引入的随机相位乘积态（RPPS）方法的推广[T。Iitaka，arXiv：2006.14459]。我们表明，原来的RPPS方法往往给出非物理值的热力学量，即使在海森堡链。我们发现，通过增加特罗特门的操作的RPPS，该方法的采样效率显着提高，其结果是一致的纯化方法。我们还将我们的方法应用到一个受挫折的自旋1/2系统，以证明它可以模拟一个系统中的纯化方法失败。
英文摘要：
We develop a numerical method based on matrix product states for simulating quantum many-body systems at finite temperatures without importance sampling and evaluate its performance in spin 1/2 systems. Our method is an extension of the random phase product state (RPPS) approach introduced recently [T. Iitaka, arXiv:2006.14459]. We show that the original RPPS approach often gives unphysical values for thermodynamic quantities even in the Heisenberg chain. We find that by adding the operation of Trotter gates to the RPPS, the sampling efficiency of the approach significantly increases and its results are consistent with those of the purification approach. We also apply our method to a frustrated spin 1/2 system to exemplify that it can simulate a system in which the purification approach fails.
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