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We have studied quantum data compression for finite quantum systems where the site density matrices are not independent, i.e., the density matrix cannot be given as direct product of site density matrices and the von Neumann entropy is not…

Strongly Correlated Electrons · Physics 2009-11-10 Ö. Legeza , J. Sólyom

The particle-hole version of the density-matrix renormalization-group method (PH-DMRG) is utilized to calculate the ground-state energy of an interacting two-dimensional quantum dot. We show that a modification of the method, termed…

Disordered Systems and Neural Networks · Physics 2008-03-26 Yuval Weiss , Richard Berkovits

We present a unified framework for renormalization group methods, including Wilson's numerical renormalization group (NRG) and White's density-matrix renormalization group (DMRG), within the language of matrix product states. This allows…

Strongly Correlated Electrons · Physics 2009-10-14 A. Weichselbaum , F. Verstraete , U. Schollwöck , J. I. Cirac , Jan von Delft

In this paper, we propose a modified Density Matrix Renormalization Group (DMRG) algorithm to preferentially select minimum entropy states (minimally entangled states) in finite systems with asymptotic ground state degeneracy. The algorithm…

Strongly Correlated Electrons · Physics 2013-10-01 Hong-Chen Jiang , Leon Balents

Inspired by the superblock method of White, we introduce a simple modification of the standard Renormalization Group (RG) technique for the study of quantum lattice systems. Our method which takes into account the effect of Boundary…

Statistical Mechanics · Physics 2009-10-28 A. Langari , V. Karimipour

We adapt White's density matrix renormalisation group (DMRG) to the direct study of critical phenomena. We use the DMRG to generate transformations in the space of coupling constants. We postulate that a study of density matrix eigenvalues…

Condensed Matter · Physics 2007-05-23 R. J. Bursill , F. Gode

We propose a density matrix renormalization group approach to tackle a two-state system coupled to a bosonic bath with continuous spectrum. In this approach, the optimized phonon scheme is applied to several hundred phonon modes which are…

Strongly Correlated Electrons · Physics 2008-05-31 Hang Wong , Zhi-De Chen

The symmetrized Density-Matrix-Renormalization-Group (DMRG) method is used to study linear and nonlinear optical properties of Free base porphine and metallo-porphine. Long-range interacting model, namely, Pariser-Parr-Pople (PPP) model is…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 Manoranjan Kumar , Y. Anusooya Pati , S. Ramasesha

We describe how density-matrix renormalization group (DMRG) can be used to solve the full-CI problem in quantum chemistry. As an illustration of the potential of this method, we apply it to a paramagnetic molecule. In particular, we show…

Strongly Correlated Electrons · Physics 2007-05-23 S. Daul , I. Ciofini , C. Daul , Steven R. White

We present an approach for the calculation of spin density distributions for molecules that require very large active spaces for a qualitatively correct description of their electronic structure. Our approach is based on the density-matrix…

Chemical Physics · Physics 2012-06-29 Katharina Boguslawski , Konrad H. Marti , Örs Legeza , Markus Reiher

We apply the DMRG method to the 2 dimensional delta function potential which is a simple quantum mechanical model with asymptotic freedom and formation of bound states. The system block and the environment block of the DMRG contain the low…

High Energy Physics - Theory · Physics 2009-10-31 M. A. Martin-Delgado , G. Sierra

The density matrix renormalization group (DMRG) method allows for very precise calculations of ground state properties in low-dimensional strongly correlated systems. We investigate two methods to expand the DMRG to calculations of…

Condensed Matter · Physics 2009-10-31 Till D. Kuehner , Steven R. White

The recently proposed combination of the valence-space in-medium similarity renormalization group (VS-IMSRG) with the density matrix renormalization group (DMRG) offers a scalable and flexible many-body approach for strongly correlated…

Nuclear Theory · Physics 2024-08-12 A. Tichai , K. Kapás , T. Miyagi , M. A. Werner , Ö. Legeza , A. Schwenk , G. Zarand

The recently proposed Clifford augmented density matrix renormalization group (CA-DMRG) method seamlessly integrates Clifford circuits with matrix product states, and takes advantage of the expression power from both. CA-DMRG has been shown…

Quantum Physics · Physics 2025-11-14 Lizhong Fu , Honghui Shang , Jinlong Yang , Chu Guo

We extend the spin-adapted density matrix renormalization group (DMRG) algorithm of McCulloch and Gulacsi [Europhys. Lett.57, 852 (2002)] to quantum chemical Hamiltonians. This involves two key modifications to the non-spin-adapted DMRG…

Chemical Physics · Physics 2014-08-22 Sandeep Sharma , Garnet Kin-Lic Chan

We use CheMPS2, our free open-source spin-adapted implementation of the density matrix renormalization group (DMRG) [Wouters et al., Comput. Phys. Commun. 185, 1501 (2014)], to study the lowest singlet, triplet, and quintet states of the…

Given a Hamiltonian with a continuous symmetry one can generally factorize that symmetry and consider the dynamics on invariant Hilbert Spaces. In Statistical Mechanics this procedure is known as the vertex-IRF map, and in certain cases,…

Statistical Mechanics · Physics 2009-10-28 G. Sierra , T. Nishino

The half-filled Hubbard model on the Bethe lattice with coordination number $z=3$ is studied using the density-matrix renormalization group (DMRG) method. Ground-state properties such as the energy $E$, average local magnetization $<\hat…

Strongly Correlated Electrons · Physics 2007-05-23 Marie-Bernadette Lepetit , Maixent Cousy , G. M. Pastor

An extension of the the density matrix renormalization group (DMRG) method is presented. Besides the two groups or classes of block states considered in White's formulation, the retained $m$ states and the neglected ones, we introduce an…

Strongly Correlated Electrons · Physics 2009-10-31 Marie-Bernadette Lepetit , G. M. Pastor

We have developed an {\it ab initio} deformed in-medium similarity renormalization group (IMSRG) for open-shell nuclei. This is a single-reference IMSRG in deformed Hartree-Fock (HF) basis. Deformed wave functions are more efficient in…

Nuclear Theory · Physics 2022-07-13 Q. Yuan , S. Q. Fan , B. S. Hu , J. G. Li , S. Zhang , S. M. Wang , Z. H. Sun , Y. Z. Ma , F. R. Xu