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We present an integrated multiscale framework that combines the Density Matrix Renormalization Group (DMRG) with a polarizable fluctuating-charge (FQ) force field for the simulation of electronic excited states in solution. The method…

化学物理 · 物理学 2026-01-09 Matteo Rinaldi , Chiara Sepali , Alicia Marie Kirk , Claudio Amovilli , Chiara Cappelli

The Density Matrix Renormalisation Group (DMRG) is an electronic structure method that has recently been applied to ab-initio quantum chemistry. Even at this early stage, it has enabled the solution of many problems that would previously…

The density matrix renormalization group (DMRG) is a powerful method to treat static correlation. Here we present an inexpensive way to add additional dynamic correlation energy to a DMRG self-consistent field (DMRG) wave function using…

化学物理 · 物理学 2018-08-21 Prachi Sharma , Varinia Bernales , Stefan Knecht , Donald G. Truhlar , Laura Gagliardi

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 present a new, simple renormalization group method of investigating groundstate properties of interacting bosonic systems. Our method reduces the number of particles in a system, which makes numerical calculations possible for large…

统计力学 · 物理学 2013-05-29 Roman Werpachowski , Jerzy Kijowski

Obtaining accurate representations of the eigenstates of an array of coupled superconducting qubits is a crucial step in the design of circuit quantum electrodynamics (QED)-based quantum processors. However, exact diagonalization of the…

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

The density matrix renormalization group (DMRG) method introduced by White for the study of strongly interacting electron systems is reviewed; the method is variational and considers a system of localized electrons as the union of two…

强关联电子 · 物理学 2009-10-31 G. Fano , F. Ortolani , L. Ziosi

We implement an efficient numerical method to calculate response functions of complex impurities based on the Density Matrix Renormalization Group (DMRG) and use it as the impurity-solver of the Dynamical Mean Field Theory (DMFT). This…

强关联电子 · 物理学 2017-11-27 Y. Núñez Fernández , K. Hallberg

We introduce a picture to analyze the density matrix renormalization group (DMRG) numerical method from a quantum information perspective. This leads us to introduce some modifications for problems with periodic boundary conditions in which…

强关联电子 · 物理学 2007-05-23 F. Verstraete , D. Porras , J. I. Cirac

In this paper, the one-dimensional incommensurate quantum Frenkel-Kontorova model is investigate by a density-matrix renormalization group algorithm. Special attention is given to the entanglement and the ground state energy. The energy gap…

统计力学 · 物理学 2015-06-19 Yongjun Ma , Jiaxiang Wang , Xinye Xu , Qi Wei , Sabre Kais

The one-dimensional (1D) $t-J$ model is investigated using the density matrix renormalization group (DMRG) method. We report for the first time a generalization of the DMRG method to the case of arbitrary band filling and prove a theorem…

凝聚态物理 · 物理学 2009-10-28 Liang Chen , S. Moukouri

The Density Matrix Renormalization Group (DMRG) algorithm has been a rising star for the accurate ab initio exploration of Born-Oppenheimer potential energy surfaces in theoretical chemistry. However, owing to its iterative numerical…

化学物理 · 物理学 2014-05-13 Sebastian F. Keller , Markus Reiher

We review the variational principle in the density matrix renormalization group (DMRG) method, which maximizes an approximate partition function within a restricted degrees of freedom; at zero temperature, DMRG mini- mizes the ground state…

统计力学 · 物理学 2009-10-28 T. Nishino , K. Okunishi

An interaction-round-a-face density-matrix renormalization-group (IRF-DMRG) method is developed for higher integer spin chain models which are rotational invariant. The expressions of the IRF weights associated with the nearest-neighbor…

统计力学 · 物理学 2007-05-23 Tatsuaki Wada

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…

凝聚态物理 · 物理学 2009-10-31 Till D. Kuehner , Steven R. White

We consider a variational problem for the two-dimensional (2D) Heisenberg and XY models, using a trial state which is constructed as a 2D product of local weights. Variational energy is calculated by use of the the corner transfer matrix…

统计力学 · 物理学 2007-05-23 Y. Nishio , N. Maeshima , A. Gendiar , T. Nishino

We present an efficient stochastic algorithm for the recently introduced perturbative density matrix renormalization group (p-DMRG) method for large active spaces. The stochastic implementation bypasses the computational bottleneck involved…

化学物理 · 物理学 2018-08-01 Sheng Guo , Zhendong Li , Garnet Kin-Lic Chan

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…

凝聚态物理 · 物理学 2007-05-23 R. J. Bursill , F. Gode

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…

统计力学 · 物理学 2009-10-28 A. Langari , V. Karimipour