Minimally entangled typical thermal states algorithm with Trotter gates
Minimally entangled typical thermal states algorithm with Trotter gates
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DOI：
10.1103/physrevresearch.2.043236
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发表时间：
2020-05
期刊：
影响因子：
--
通讯作者：
S. Goto;I. Danshita
中科院分区：
文献类型：
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作者：
S. Goto;I. Danshita
在不破坏阿贝尔对称性的前提下，提高了最小纠缠典型热态（METTS）算法的效率。通过添加操作的Trotter门，尊重阿贝尔对称的METTS算法，我们发现，在马尔可夫链蒙特卡罗抽样连续状态之间的相关性降低了数量级。通过对Bose-Hubbard模型正则系综的模拟，我们测量了改进的METTS算法的性能，并证实了自相关性的降低导致了计算时间的减少。我们表明，我们的协议使用Trotter门的操作也是有效的巨正则系综的模拟。
We improve the efficiency of the minimally entangled typical thermal states (METTS) algorithm without breaking the Abelian symmetries. By adding the operation of Trotter gates that respects the Abelian symmetries to the METTS algorithm, we find that a correlation between successive states in Markov-chain Monte Carlo sampling decreases by orders of magnitude. We measure the performance of the improved METTS algorithm through the simulations of the canonical ensemble of the Bose-Hubbard model and confirm that the reduction of the autocorrelation leads to the reduction of computation time. We show that our protocol using the operation of Trotter gates is effective also for the simulations of the grand canonical ensemble.