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

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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.