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arXiv · 1605.09301

An Efficient Density Matrix Renormalization Group Algorithm for Chains with Periodic Boundary Condition

Dayasindhu Dey·Debasmita Maiti·Manoranjan Kumar
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Abstract

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($p \times m^3$), where $p$ can vary from 4 to $m^2$. 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($m^3$) and the conventional DMRG code can be easily modified for the new algorithm.

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Dayasindhu Dey, Debasmita Maiti, Manoranjan Kumar. 2016-05-30. An Efficient Density Matrix Renormalization Group Algorithm for Chains with Periodic Boundary Condition. https://doi.org/10.4279/pip.080006

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