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We present a procedure to construct a configuration-interaction expansion containing arbitrary excitations from an underlying full-configuration-interaction-type wave function defined for a very large active space. Our procedure is based on…

化学物理 · 物理学 2011-06-14 Katharina Boguslawski , Konrad H. Marti , Markus Reiher

Configuration-interaction-type calculations on electronic and vibrational structure are often the method of choice for the reliable approximation of many-particle wave functions and energies. The exponential scaling, however, limits their…

计算物理 · 物理学 2019-05-24 Alberto Baiardi , Christopher J. Stein , Vincenzo Barone , Markus Reiher

The recent development of the density matrix renormalization group (DMRG) method in multireference quantum chemistry makes it practical to evaluate static correlation in a large active space, while dynamic correlation provides a critical…

强关联电子 · 物理学 2020-08-20 Zhen Luo , Yingjin Ma , Xicun Wang , Haibo Ma

The density matrix renormalization group (DMRG) is a powerful numerical technique to solve strongly correlated quantum systems: it deals well with systems which are not dominated by a single configuration (unlike Coupled Cluster) and it…

化学物理 · 物理学 2025-12-16 Martina Nibbi , Luca Frediani , Evgueni Dinvay , Christian B. Mendl

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…

化学物理 · 物理学 2012-06-29 Katharina Boguslawski , Konrad H. Marti , Örs Legeza , Markus Reiher

Recent contributions in the field of quantum state tomography have shown that, despite the exponential growth of Hilbert space with the number of subsystems, tomography of one-dimensional quantum systems may still be performed efficiently…

量子物理 · 物理学 2013-07-19 Tillmann Baumgratz , David Gross , Marcus Cramer , Martin B. Plenio

The density-matrix renormalization group (DMRG) is a numerical algorithm for the efficient truncation of the Hilbert space of low-dimensional strongly correlated quantum systems based on a rather general decimation prescription. This…

强关联电子 · 物理学 2009-11-10 Ulrich Schollwoeck

We develop a density matrix renormalization group (DMRG) algorithm for constrained quantum lattice models that successfully {\it{implements the local constraints as symmetries in the contraction of the matrix product states and matrix…

强关联电子 · 物理学 2025-08-11 Ting-Tung Wang , Xiaoxue Ran , Zi Yang Meng

We present an alternative, memory-efficient, Schmidt decomposition-based description of the inherently bipartite restricted active space (RAS) scheme, which can be implemented effortlessly within the density matrix renormalization group…

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…

强关联电子 · 物理学 2007-05-23 S. Daul , I. Ciofini , C. Daul , Steven R. White

During the past 15 years, the density matrix renormalization group (DMRG) has become increasingly important for ab initio quantum chemistry. Its underlying wavefunction ansatz, the matrix product state (MPS), is a low-rank decomposition of…

化学物理 · 物理学 2014-09-25 Sebastian Wouters , Dimitri Van Neck

We present a numerical implementation of the density matrix renormalization group (DMRG) using the discrete variable representation (DVR) basis set. One main advantage of using the local DVR basis sets is that the computations of…

量子物理 · 物理学 2024-11-13 Bing Gu

We present an implementation of the relativistic quantum-chemical density matrix renormalization group (DMRG) approach based on a matrix-product formalism. Our approach allows us to optimize matrix product state (MPS) wave functions…

化学物理 · 物理学 2017-10-24 Stefano Battaglia , Sebastian Keller , Stefan Knecht

The density-matrix renormalization group method (DMRG) has established itself over the last decade as the leading method for the simulation of the statics and dynamics of one-dimensional strongly correlated quantum lattice systems. In the…

强关联电子 · 物理学 2011-01-04 Ulrich Schollwoeck

Density Matrix Renormalization Group (DMRG) algorithm has been extremely successful for computing the ground states of one-dimensional quantum many-body systems. For problems concerned with mixed quantum states, however, it is less…

强关联电子 · 物理学 2022-06-01 Chu Guo

I present a density-matrix renormalization-group (DMRG) method for calculating dynamical properties and excited states in low-dimensional lattice quantum many-body systems. The method is based on an exact variational principle for dynamical…

强关联电子 · 物理学 2009-11-07 Eric Jeckelmann

Accurate electronic structure calculations are essential in modern materials science, but strongly correlated systems pose a significant challenge due to their computational cost. Traditional methods, such as complete active space…

化学物理 · 物理学 2024-12-11 Pavlo Golub , Chao Yang , Vojtěch Vlček , Libor Veis

We introduce DMRG[FEAST], a new method for optimizing excited-state many-body wave functions with the density matrix renormalization group (DMRG) algorithm. Our approach applies the FEAST algorithm, originally designed for large-scale…

化学物理 · 物理学 2022-01-14 Alberto Baiardi , Anna K. Kelemen , Markus Reiher

We investigate the application of the density-matrix renormalization group (DMRG) algorithm to a one-dimensional harmonic oscillator chain and compare the results with exact solutions, aiming to improve the algorithm efficiency. It has been…

量子物理 · 物理学 2015-06-19 Yongjun Ma , Jiaxiang Wang , Xinye Xu , Qi Wei , Sabre Kais

Explicitly correlated methods, such as the transcorrelated method which shifts a Jastrow or Gutzwiller correlator from the wave function to the Hamiltonian, are designed for high-accuracy calculations of electronic structures, but their…

强关联电子 · 物理学 2026-04-10 Benjamin Corbett , Akimasa Miyake
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