Diffusion Monte Carlo for fermions with replica reduction

作者:Chung Myung Hoon*; Landau D P
来源:Physical Review B, 2012, 85(11): 115115.
DOI:10.1103/PhysRevB.85.115115

摘要

We propose an improved framework of diffusion Monte Carlo method for quantum many-fermion systems. This approach enables us to find the ground state of the system without any a priori information on the nodal structure of the wave function. The main idea in this approach is to use sign-carrying replicas which are the basis vectors in a restricted Hilbert space. For efficiency, we propose to reduce the number of replicas in a proper manner. We test our method on a spinless fermion system, and compare the results with the exact values. We also discuss this method in relation to exact diagonalization.

  • 出版日期2012-3-15