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We report a way of wave function estimation for the density matrix renormalization group (DMRG) method applied to quantum systems, which has 2-site modulation, when the system size extension is necessary in both the finite and the infinite…

量子物理 · 物理学 2011-02-11 Hiroshi Ueda , Tomotoshi Nishino , Koichi Kusakabe

The dielectric response function and its inverse are crucial physical quantities in materials science. We propose an accurate and efficient strategy to invert the dielectric function matrix. The GW approximation, a powerful approach to…

数值分析 · 数学 2024-06-13 Zhengbang Zhou , Huanhuan Ma , Wentiao Wu , Weiguo Gao , Jinlong Yang , Meiyue Shao , Wei Hu

The density-matrix renormalization group (DMRG) algorithm can be adapted to the calculation of dynamical correlation functions in various ways which all represent compromises between computational efficiency and physical accuracy. In this…

强关联电子 · 物理学 2012-11-19 P. E. Dargel , A. Wöllert , A. Honecker , I. P. McCulloch , U. Schollwöck , T. Pruschke

Linear response theory for the density matrix renormalization group (DMRG-LRT) was first presented in terms of the DMRG renormalization projectors [Dorando et al., J. Chem. Phys. 130, 184111 (2009)]. Later, with an understanding of the…

强关联电子 · 物理学 2014-02-25 Naoki Nakatani , Sebastian Wouters , Dimitri Van Neck , Garnet Kin-Lic Chan

We have extended the density matrix renormalization group (DMRG) approach to two-fluid open many-fermion systems governed by complex-symmetric Hamiltonians. The applications are carried out for three- and four-nucleon (proton-neutron)…

核理论 · 物理学 2009-01-22 J. Rotureau , N. Michel , W. Nazarewicz , M. Ploszajczak , J. Dukelsky

We have developed an efficient method for performing density matrix renormalization group (DMRG) simulations of the SU(N) Fermi-Hubbard chain with open boundary conditions, fully leveraging the SU(N) symmetry of the problem. This method…

强关联电子 · 物理学 2025-06-04 Pierre Nataf

For a given quantum impurity model, Wilson's numerical renormalization group (NRG) naturally defines a NRG Hamiltonian whose exact eigenstates and eigenenergies are obtainable. We give exact expressions for the free energy, static, as well…

强关联电子 · 物理学 2020-10-16 Ke Yang , Ning-Hua Tong

In this paper we describe how the density matrix renormalization group (DMRG) can be used for quantum chemical calculations for molecules, as an alternative to traditional methods, such as configuration interaction or coupled cluster…

凝聚态物理 · 物理学 2009-10-31 Steven R. White , Richard L. Martin

Determining quantum excited states is crucial across physics and chemistry but presents significant challenges for variational methods, primarily due to the need to enforce orthogonality to lower-energy states, often requiring…

量子物理 · 物理学 2025-05-01 Shi-Xin Zhang , Lei Wang

The polarizable embedding (PE) approach is a flexible embedding model where a pre-selected region out of a larger system is described quantum mechanically while the interaction with the surrounding environment is modeled through an…

化学物理 · 物理学 2017-01-24 Erik D. Hedegård , Markus Reiher

Strong-Disorder Renormalization Group (SDRG), despite being a relatively simple real-space renormalization procedure, provides in principle exact results on the critical properties at the infinite-randomness fixed point of random quantum…

统计力学 · 物理学 2020-01-29 Christophe Chatelain

The ground-state and low-energy excitations of quantum Hall systems are studied by the density matrix renormalization group (DMRG) method. From the ground-state pair correlation functions and low-energy excitions, the ground-state phase…

强关联电子 · 物理学 2009-06-08 Naokazu Shibata

We report cutting edge performance results for a hybrid CPU-multi GPU implementation of the spin adapted ab initio Density Matrix Renormalization Group (DMRG) method on current state-of-the-art NVIDIA DGX-H100 architectures. We evaluate the…

We present a new implementation of the driven similarity renormalization group (DSRG) based on a density matrix renormalization group (DMRG) reference. The explicit build of high-order reduced density matrices is avoided by forming…

化学物理 · 物理学 2025-03-04 Chenyang Li , Xiaoxue Wang , Huanchen Zhai , Wei-Hai Fang

The density matrix renormalization group (DMRG) has been extended to study quantum phase transitions on random graphs of fixed connectivity. As a relevant example, we have analysed the random Ising model in a transverse field. If the…

无序系统与神经网络 · 物理学 2009-11-11 Javier Rodriguez-Laguna

We propose a simple modification of the density matrix renormalization group (DMRG) method in order to tackle strongly disordered quantum spin chains. Our proposal, akin to the idea of the adaptive time-dependent DMRG, enables us to reach…

强关联电子 · 物理学 2018-11-14 J. C. Xavier , J. A. Hoyos , E. Miranda

We present an effective numerical procedure, which is based on the computational scheme from [Heid et al., arXiv:1906.06954], for the numerical approximation of excited states of Schr\"odingers equation. In particular, this procedure…

数值分析 · 数学 2021-09-16 Pascal Heid

We propose a novel many-body framework combining the density matrix renormalization group (DMRG) with the valence-space (VS) formulation of the in-medium similarity renormalization group. This hybrid scheme admits for favorable…

核理论 · 物理学 2023-09-12 A. Tichai , S. Knecht , A. T. Kruppa , Ö. Legeza , C. P. Moca , A. Schwenk , M. A. Werner , G. Zarand

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

Matrix product state methods are known to be efficient for computing ground states of local, gapped Hamiltonians, particularly in one dimension. We introduce the multi-targeted density matrix renormalization group method that acts on a…

强关联电子 · 物理学 2023-06-29 Thomas E. Baker , Alexandre Foley , David Sénéchal