Author(s)

Jin Li¹, Wanli Ma^2*

¹Department of Physics, University of Shanghai for Science and Technology, Shanghai, China.
²Department of Mathematics, University of Shanghai for Science and Technology, Shanghai, China.

Recently an algorithm that acts the variational principle directly to a coherent-pair condensate (VDPC) has been proposed. This algorithm can avoid time-consuming projection while maintaining particle number conservation. Quickly computation of many-pair density matrix (MPDM) is one of the keys to improve the computational efficiency of VDPC algorithm. In this work, we propose a scheme that limits the energy range of block particles to the vicinity of the Fermi surface, which reduces the time complexity of computing the MPDM without losing physical details. The results show that by appropriately limiting the energy range, we can greatly reduce the number of matrix elements that need to be computed, and reducing the time required for the computation.

Nuclear Structure, Mean-Field Theory, BCS, Density Matrix, VDPC

Li, J. and Ma, W. (2022) Optimizing the Computation of Many-Pair Density Matrix in VDPC. Journal of Applied Mathematics and Physics, 10, 2303-2312. doi: 10.4236/jamp.2022.107157.