Abstract

DAYASINDHU, Dey; DEBASMITA, Maiti  and  MANORANJAN, Kumar. An efficient density matrix renormalization group algorithm for chains with periodic boundary condition. Pap. Phys. [online]. 2016, vol.8, n.2, pp.01-07. ISSN 1852-4249.  http://dx.doi.org/10.4279/PIP.080006.

The Density Matrix Renormalization Group (DMRG) is a state-of-the-art numerical tech-nique 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 × m³), where p can vary from 4 to m². 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(m³) and the conventional DMRG code can be easily modified for the new algorithm.

Keywords : Periodic boundary conditions; DMRG.

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