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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…

Strongly Correlated Electrons · Physics 2014-02-25 Naoki Nakatani , Sebastian Wouters , Dimitri Van Neck , Garnet Kin-Lic Chan

The variational determination of the two-boson reduced density matrix is described for a one-dimensional system of $N$ (where $N$ ranges from $2$ to $10^4$) harmonically trapped bosons interacting via contact interaction. The ground-state…

Quantum Gases · Physics 2026-04-27 Mitchell J. Knight , Harry M. Quiney , Andy M. Martin

Based on the Renormalization Group method, a reduction of non integrable multi-dimensional hamiltonian systems has been performed. The evolution equations for the slowly varying part of the angle-averaged phase space density, and for the…

Accelerator Physics · Physics 2008-11-26 Stephan I. Tzenov

We generalize the recently introduced Density-Matrix Renormalization Group (DMRG-X) [Khemani et al, PRL 2016] algorithm to obtain Floquet eigenstates of one-dimensional, periodically driven many-body localized systems. This generalization…

Strongly Correlated Electrons · Physics 2017-09-28 Carolyn Zhang , Frank Pollmann , S. L. Sondhi , Roderich Moessner

The density-matrix renormalization group is employed to investigate a harmonically-trapped imbalanced Fermi condensate based on a one-dimensional attractive Hubbard model. The obtained density profile shows a flattened population difference…

Strongly Correlated Electrons · Physics 2008-06-20 Masaki Tezuka , Masahito Ueda

The Density Matrix Renormalization Group (DMRG) was introduced by Steven White in 1992 as a method for accurately describing the properties of one-dimensional quantum lattices. The method, as originally introduced, was based on the…

Mesoscale and Nanoscale Physics · Physics 2011-05-12 Jorge Dukelsky , Stuart Pittel

We investigate how additive weak noise (correlated as well as uncorrelated) modifies the parameters of the Gray-Scott (GS) reaction diffusion system by performing numerical simulations and applying a Renormalization Group (RG) analysis in…

Other Condensed Matter · Physics 2007-05-23 M. -P. Zorzano , D. Hochberg , F. Moran

We introduce a numerical method of the adaptive time-dependent density-matrix renormalization-group to compute one-dimensional quantum spin systems with periodic boundary condition. We check our algorithm to study the dynamic correlation in…

Statistical Mechanics · Physics 2011-06-01 Jie Ren

We apply Density Matrix Renormalization Group methods to study the phase diagram of the quantum ANNNI model in the region of low frustration where the ferromagnetic coupling is larger than the next-nearest-neighbor antiferromagnetic one. By…

Statistical Mechanics · Physics 2010-11-05 Matteo Beccaria , Massimo Campostrini , Alessandra Feo

The extended Bose-Hubbard model in a quadratic trap potential is studied using a finite-size density-matrix renormalization group method (DMRG). We compute the boson density profiles, the local compressibility and the hopping correlation…

Strongly Correlated Electrons · Physics 2009-11-11 Laura Urba , Emil Lundh , Anders Rosengren

Density Matrix Renormalization Group (DMRG) and its extensions in the form of Matrix Product States (MPS) are arguably the choice for the study of one dimensional quantum systems in the last three decades. However, due to the limited…

Strongly Correlated Electrons · Physics 2023-04-13 Xiangjian Qian , Mingpu Qin

In this paper recent substantial progress in applying the density-matrix renormalization-group (DMRG) to the simulation of the time-evolution of strongly correlated quantum systems in one dimension is reviewed. Various approaches to…

Strongly Correlated Electrons · Physics 2015-06-25 Ulrich Schollwoeck

We use the functional renormalisation group to study the spectrum of three- and four-body states in bosonic systems around the unitary limit. Our effective action includes all energy-independent contact interactions in the four-atom sector…

Quantum Gases · Physics 2015-08-12 Benjamin Jaramillo Avila , Michael C. Birse

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…

Quantum Physics · Physics 2024-11-13 Bing Gu

We calculate the zero-temperature phase diagram of the disordered Bose-Hubbard model in one dimension using the density matrix renormalization group. For integer filling the Mott insulator is always separated from the superfluid by a Bose…

Condensed Matter · Physics 2009-10-31 S. Rapsch , U. Schollwoeck , W. Zwerger

The study of strongly correlated electron systems remains a fundamental challenge in condensed matter physics, particularly in two-dimensional (2D) systems hosting various exotic phases of matter including quantum spin liquids,…

Strongly Correlated Electrons · Physics 2025-07-01 Hui-Ke Jin , Rong-Yang Sun , Hong-Hao Tu , Yi Zhou

The effect of dimerization on the random antiferomagnetic Heisenberg chain with spin 1/2 is studied by the density matrix renormalization group method. The ground state energy, the energy gap distribution and the string order parameter are…

Disordered Systems and Neural Networks · Physics 2009-10-30 Kazuo Hida

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…

Chemical Physics · Physics 2018-08-01 Sheng Guo , Zhendong Li , Garnet Kin-Lic Chan

Wilson's momentum shell renormalization group method is used to solve for the dynamics of the dissipative two--state system. We utilize the mapping of the spin--boson model onto the anisotropic Kondo model (AKM) and solve for the dynamics…

Condensed Matter · Physics 2009-10-28 T. A. Costi , C. Kieffer

We solve the Dynamical Mean Field Theory equations for the Hubbard model away from the particle-hole symmetric case using the Density Matrix Renormalization Group method. We focus our study on the region of strong interactions and finite…

Strongly Correlated Electrons · Physics 2007-05-23 D. J. Garcia , E. Miranda , K. Hallberg , M. J. Rozenberg
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