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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…

量子物理 · 物理学 2025-11-14 Lizhong Fu , Honghui Shang , Jinlong Yang , Chu Guo

We present the theory of a density matrix renormalization group (DMRG) algorithm which can solve for both the ground and excited states of non-Hermitian transcorrelated Hamiltonians, and show applications in \emph{ab initio} molecular…

The density-matrix renormalization group (DMRG) method, which can deal with a large active space composed of tens of orbitals, is nowadays widely used as an efficient addition to traditional complete active space (CAS)-based approaches. In…

强关联电子 · 物理学 2016-11-06 Yingjin Ma , Jing Wen , Haibo Ma

We explore the use in quantum Monte Carlo (QMC) of trial wave functions consisting of a Jastrow factor multiplied by a truncated configuration-interaction (CI) expansion in Slater determinants obtained from a CI perturbatively selected…

化学物理 · 物理学 2016-01-25 Emmanuel Giner , Roland Assaraf , Julien Toulouse

Nanoscale topological spin textures in magnetic systems are emerging as promising candidates for scalable quantum architectures. Despite their potential as qubits, previous studies have been limited to semiclassical approaches, leaving a…

介观与纳米尺度物理 · 物理学 2025-08-19 Guanxiong Qu , Ji Zou , Daniel Loss , Tomoki Hirosawa

We describe a low cost alternative to the standard variational DMRG (density matrix renormalization group) algorithm that is analogous to the combination of selected configuration interaction plus perturbation theory (SCI+PT). We denote the…

化学物理 · 物理学 2018-03-28 Sheng Guo , Zhendong Li , Garnet Kin-Lic Chan

Dynamical electronic- and vibrational-structure theories have received a growing interest in the last years due to their ability to simulate spectra recorded with ultrafast experimental techniques. The exact time evolution of a molecular…

计算物理 · 物理学 2020-02-18 Alberto Baiardi , Markus Reiher

This work develops and illustrates a new method of calculating "chemically accurate" electronic wavefunctions (and energies) via a truncated full configuration interaction (CI) procedure which arguably circumvents the large matrix…

化学物理 · 物理学 2022-12-21 Stephen J. Cotton

The density matrix renormalization group (DMRG) method generates the low-energy states of linear systems of $N$ sites with a few degrees of freedom at each site by starting with a small system and adding sites step by step while keeping…

强关联电子 · 物理学 2016-10-05 Manoranjan Kumar , Dayasindhu Dey , Aslam Parvej , S. Ramasesha , Zoltán G. Soos

The density matrix renormalization group (DMRG) has become an indispensable numerical tool to find exact eigenstates of finite-size quantum systems with strong correlation. In the fields of condensed matter, nuclear structure and molecular…

强关联电子 · 物理学 2014-04-21 Sebastian Wouters , Ward Poelmans , Paul W. Ayers , Dimitri Van Neck

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

强关联电子 · 物理学 2014-05-22 Sebastian Wouters

In this paper we give an introduction to the numerical density matrix renormalization group (DMRG) algorithm, from the perspective of the more general matrix product state (MPS) formulation. We cover in detail the differences between the…

强关联电子 · 物理学 2009-11-13 Ian P. McCulloch

We theoretically derive and validate with large scale simulations a remarkably accurate power law scaling of errors for the restricted active space density matrix renormalization group (DMRG-RAS) method [arXiv:2111.06665] in electronic…

化学物理 · 物理学 2023-04-04 Gero Friesecke , Gergely Barcza , Örs Legeza

Density Matrix Renormalization Group (DMRG) or Matrix Product States (MPS) are widely acknowledged as highly effective and accurate methods for solving one-dimensional quantum many-body systems. However, the direct application of DMRG to…

强关联电子 · 物理学 2024-11-25 Xiangjian Qian , Jiale Huang , Mingpu Qin

In order to optimize the ordering of the lattice sites in the momentum space and quantum chemistry versions of the density matrix renormalization group (DMRG) method we have studied the separability and entanglement of the target state for…

强关联电子 · 物理学 2007-05-23 Ö. Legeza , J. Sólyom

We describe how to efficiently construct the quantum chemical Hamiltonian operator in matrix product form. We present its implementation as a density matrix renormalization group (DMRG) algorithm for quantum chemical applications in a…

计算物理 · 物理学 2016-01-05 Sebastian Keller , Michele Dolfi , Matthias Troyer , Markus Reiher

The Density Matrix Renormalization Group (DMRG) has become a powerful numerical method that can be applied to low-dimensional strongly correlated fermionic and bosonic systems. It allows for a very precise calculation of static, dynamic and…

凝聚态物理 · 物理学 2007-05-23 Karen Hallberg

We develop a variant of the density matrix renormalization group (DMRG) algorithm for two-dimensional cylinders that uses a real space representation along the cylinder and a momentum space representation in the perpendicular direction. The…

强关联电子 · 物理学 2016-04-25 Johannes Motruk , Michael P. Zaletel , Roger S. K. Mong , Frank Pollmann

The Density Matrix Renormalization Group (DMRG) algorithm is a powerful tool for solving eigenvalue problems to model quantum systems. DMRG relies on tensor contractions and dense linear algebra to compute properties of condensed matter…

分布式、并行与集群计算 · 计算机科学 2021-01-26 Ryan Levy , Edgar Solomonik , Bryan K. Clark

The Density Matrix Renormalization Group (DMRG) has become a powerful numerical method that can be applied to low-dimensional strongly correlated fermionic and bosonic systems. It allows for a very precise calculation of static, dynamic and…

强关联电子 · 物理学 2008-11-26 Karen Hallberg