Development of Parallelization Method of Simulation Method for Quantum Many-body Problem

本研究开发了量子多体问题数值模拟方法之一的密度矩阵重整化群（DMRG）方法的并行化策略和加速技术。从问题的对称性出发，提出了并行化策略。然后，我们开发了适合多核集群系统网络架构的通信策略。结果表明，我们的方法可以在1024核上实现良好的可扩展性。此外，我们还模拟了二维量子多体问题，并利用模拟结果讨论了该问题的性质。

In this research, we developed the parallelization strategy and speedup technique of the density matrix renormalization group (DMRG) method which is one of the numerical simulation methods for the quantum many-body problem. We proposed the parallelization strategy derived from the symmetry of the problem. And then, we developed the communication strategy which is suitable for the network architecture of multi-core cluster systems. As a result, we confirmed that our method can achieve the good scalability on 1024 cores. Moreover, we simulated the 2-dimensional quantum many-body problems and discussed the property of the problem by using the simulation results.