366 research outputs found
An Efficient Density Matrix Renormalization Group Algorithm for Chains with Periodic Boundary Condition
The Density Matrix Renormalization Group (DMRG) is a state-of-the-art
numerical technique for a one dimensional quantum many-body system; but
calculating accurate results for a system with Periodic Boundary Condition
(PBC) from the conventional DMRG has been a challenging job from the inception
of DMRG. The recent development of the Matrix Product State (MPS) algorithm
gives a new approach to find accurate results for the one dimensional PBC
system. The most efficient implementation of the MPS algorithm can scale as
O(), where can vary from 4 to . In this paper, we
propose a new DMRG algorithm, which is very similar to the conventional DMRG
and gives comparable accuracy to that of MPS. The computation effort of the new
algorithm goes as O() and the conventional DMRG code can be easily
modified for the new algorithm.Comment: 7 pages, 4 figure
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