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The time-dependent numerical renormalization group method (TDNRG) [Anders et al., Phys. Rev. Lett. {\bf 95}, 196801 (2005)] was recently generalized to multiple quenches and arbitrary finite temperatures [Nghiem et al., Phys. Rev. B {\bf…

强关联电子 · 物理学 2014-07-23 H. T. M. Nghiem , T. A. Costi

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

We have studied the ionic--neutral curve crossing between the two lowest ^1 Sigma^+ states of LiF in order to demonstrate the efficiency of the quantum chemistry version of the density matrix renormalization group method (QC-DMRG). We show…

强关联电子 · 物理学 2016-08-16 Ö. Legeza , J. Röder , B. A. Hess

In the approaches based on matrix-product states (MPSs), such as the density-matrix renormalization group (DMRG) method, the ordering of the sites crucially affects the computational accuracy. We investigate the performance of an algorithm…

统计力学 · 物理学 2026-01-07 Ryo Watanabe , Toshiya Hikihara , Hiroshi Ueda

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

Finite-temperature transport properties of one-dimensional systems can be studied using the time dependent density matrix renormalization group via the introduction of auxiliary degrees of freedom which purify the thermal statistical…

强关联电子 · 物理学 2013-09-09 C. Karrasch , J. H. Bardarson , J. E. Moore

We combine the Density Matrix Renormalization Group (DMRG) with Matrix Product State tangent space concepts to construct a variational algorithm for finding ground states of one dimensional quantum lattices in the thermodynamic limit. A…

量子物理 · 物理学 2019-04-22 V. Zauner-Stauber , L. Vanderstraeten , M. T. Fishman , F. Verstraete , J. Haegeman

An efficient density matrix renormalization group (DMRG) algorithm is presented for the Bethe lattice with connectivity $Z = 3$ and antiferromagnetic exchange between nearest neighbor spins $s= 1/2$ or 1 sites in successive generations $g$.…

强关联电子 · 物理学 2015-06-03 Manoranjan Kumar , S. Ramasesha , Zoltan G. Soos

Two targeting schemes have been known for the density matrix renormalization group (DMRG) applied to non-Hermitian problems; one uses an asymmetric density matrix and the other uses symmetric density matrix. We compare the numerical…

统计力学 · 物理学 2009-10-31 T. Nishino , N. Shibata

We introduce a Lagrangian formulation of the Density Matrix Renormalization Group (DMRG). We present Lagrangians which when minimised yield the optimal DMRG wavefunction in a variational sense, both within the general matrix product ansatz,…

强关联电子 · 物理学 2008-04-11 Garnet Kin-Lic Chan

Based on the contractor renormalization group (CORE) method and the density matrix renormalization group (DMRG) method, a new computational scheme, which is called the block density matrix renormalization group with effective interactions…

强关联电子 · 物理学 2009-11-18 Haibo Ma , Chungen Liu , Yuansheng Jiang

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

The Corner Transfer Matrix Renormalization Group (CTMRG) algorithm is modified to measure the magnetization at the boundary of the system, including the corners of the square-shaped lattice. Using automatic differentiation, we calculate the…

统计力学 · 物理学 2025-06-23 Roman Krcmar , Jozef Genzor , Andrej Gendiar , Tomotoshi Nishino

We apply a recent adaptation of White's density matrix renormalisation group (DMRG) method to a simple quantum spin model, the dimerised $XY$ chain, in order to assess the applicabilty of the DMRG to quantum systems at non-zero temperature.…

凝聚态物理 · 物理学 2009-10-28 R. J. Bursill , T. Xiang , G. A. Gehring

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

The quantum chemical version of the density matrix renormalization group (DMRG) method has established itself as one of the methods of choice for calculations of strongly correlated molecular systems. Despite its great ability to capture…

化学物理 · 物理学 2021-08-31 Pavel Beran , Mikuláš Matoušek , Michał Hapka , Katarzyna Pernal , Libor Veis

We use an alternative method to investigate the quantum criticality at zero and finite temperature using trace distance along with the density matrix renormalization group. It is shown that the average correlation measured by the trace…

量子物理 · 物理学 2016-09-08 Da-Wei Luo , Jing-Bo Xu

We present a novel approach for model reduction of nonlinear dynamical systems based on proper orthogonal decomposition (POD). Our method, derived from Density Matrix Renormalization Group (DMRG), provides a significant reduction in…

计算物理 · 物理学 2009-11-13 Thorsten Bogner

A so-called Renormalization Group (RG) analysis is performed in order to shed some light on why the density of prime numbers in $\Bbb N^*$ decreases like the single power of the inverse neperian logarithm.

数学物理 · 物理学 2007-05-23 A. Peterman

An algorithm for the simulation of the evolution of slightly entangled quantum states has been recently proposed as a tool to study time-dependent phenomena in one-dimensional quantum systems. Its key feature is a time-evolving…

强关联电子 · 物理学 2022-08-22 A. J. Daley , C. Kollath , U. Schollwoeck , G. Vidal
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