TY - JOUR AU - Dey, Dayasindhu AU - Maiti, Debasmita AU - Kumar, Manoranjan PY - 2016/11/18 Y2 - 2024/03/29 TI - An efficient density matrix renormalization group algorithm for chains with periodic boundary condition JF - Papers in Physics JA - Pap. Phys. VL - 8 IS - 0 SE - Articles DO - 10.4279/pip.080006 UR - https://www.papersinphysics.org/papersinphysics/article/view/341 SP - 080006 AB - <p>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.</p><p><strong>Received:</strong> 2 August 2016, <strong> </strong><strong>Accepted:</strong> 12 October 2016; <strong>Edited by:</strong> K. Hallberg; <strong>DOI: </strong>http://dx.doi.org/10.4279/PIP.080006</p><p><strong>Cite as:</strong> D Dey, D Maiti, M Kumar, Papers in Physics 8, 080006 (2016)</p><span>This paper, by </span><a rel="cc:attributionURL" href="http://dx.doi.org/10.4279/PIP.080006">D Dey, D Maiti, M Kumar</a><span>, is licensed under the </span><a rel="license" href="http://creativecommons.org/licenses/by/3.0/">Creative Commons Attribution License 3.0</a><span>.</span><p> </p> ER -