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相关论文: Density Matrix Renormalization Group and Reaction-…

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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…

强关联电子 · 物理学 2015-06-25 Ulrich Schollwoeck

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…

We present a detailed discussion of a novel dynamical renormalization group scheme: the Dynamically Driven Renormalization Group (DDRG). This is a general renormalization method developed for dynamical systems with non-equilibrium critical…

凝聚态物理 · 物理学 2009-10-28 Alessandro Vespignani , Stefano Zapperi , Vittorio Loreto

The physical properties of a quantum many-body system can, in principle, be determined by diagonalizing the respective Hamiltonian, but the dimensions of its matrix representation scale exponentially with the number of degrees of freedom.…

强关联电子 · 物理学 2023-09-13 G. Catarina , Bruno Murta

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

The Density Matrix Renormalization Group (DMRG) method has become a prominent tool for simulating strongly correlated electronic systems characterized by dominant static correlation effects. However, capturing the full scope of electronic…

化学物理 · 物理学 2024-11-13 Nicholas Bauman , Libor Veis , Karol Kowalski , Jiri Brabec

The density-matrix renormalization group (DMRG) applied to transfer matrices allows it to calculate static as well as dynamical properties of one-dimensional quantum systems at finite temperature in the thermodynamic limit. To this end the…

强关联电子 · 物理学 2007-12-20 S. Glocke , A. Klümper , J. Sirker

In order to extend the density-matrix renormalization-group (DMRG) method to two-dimensional systems, we formulate two alternative methods to prepare the initial states. We find that the number of states that is needed for accurate energy…

凝聚态物理 · 物理学 2007-05-23 Shoudan Liang , Hanbin Pang

We use the adaptive time-dependent density matrix renormalization group method (t-DMRG) to study the nonequilibrium dynamics of a benchmark quantum impurity system which has a time-dependent Hamiltonian. This model is a resonant-level…

强关联电子 · 物理学 2009-04-01 Cheng Guo , Andreas Weichselbaum , Stefan Kehrein , Tao Xiang , Jan von Delft

We implement and apply time-dependent density matrix renormalization group (TD-DMRG) algorithms at zero and finite temperature to compute the linear absorption and fluorescence spectra of molecular aggregates. Our implementation is within a…

化学物理 · 物理学 2019-07-30 Jiajun Ren , Zhigang Shuai , Garnet Kin-Lic Chan

We investigate the application of the Density Matrix Renormalization Group (DMRG) to the Hubbard model in momentum-space. We treat the one-dimensional models with dispersion relations corresponding to nearest-neighbor hopping and $1/r$…

强关联电子 · 物理学 2009-11-07 Satoshi Nishimoto , Eric Jeckelmann , Florian Gebhard , Reinhard M. Noack

A major advance in density-matrix renormalization group (DMRG) calculations has been achieved by the invention of highly efficient DMRG techniques for the simulation of real-time dynamics of strongly correlated quantum systems in one…

强关联电子 · 物理学 2007-05-23 U. Schollwoeck , S. R. White

We present a simple method, combining the density-matrix renormalization-group (DMRG) algorithm with finite-size scaling, which permits the study of critical behavior in quantum spin chains. Spin moments and dimerization are induced by…

强关联电子 · 物理学 2009-10-31 Shan-Wen Tsai , J. B. Marston

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

The spin 1/2 XXZ chain in a random magnetic field pointing in the Z direction is numerically studied using the Density Matrix Renormalization Group (DMRG) method. The phase diagram as a function of the anisotropy of the XXZ Hamiltonian and…

强关联电子 · 物理学 2009-11-07 Laura Urba , Anders Rosengren

The density-matrix renormalization-group (DMRG) algorithm is extended to treat time-dependent problems. The method provides a systematic and robust tool to explore out-of-equilibrium phenomena in quantum many-body systems. We illustrate the…

介观与纳米尺度物理 · 物理学 2009-11-07 M. A. Cazalilla , J. B. Marston

We introduce the density matrix renormalization group (DMRG) method as an efficient computational tool for one-exciton approximations with off-diagonal disorder. This method allows us to reduce the computational effort by targetting only a…

强关联电子 · 物理学 2007-05-23 M. A. Martin-Delgado , J. Rodriguez-Laguna , G. Sierra

The Density Matrix Renormalization Group (DMRG) method scales exponentially in the system width for models in two dimensions, but remains one of the most powerful methods for studying 2D systems with a sign problem. Reviewing past…

强关联电子 · 物理学 2012-03-15 E. M. Stoudenmire , Steven R. White

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…

介观与纳米尺度物理 · 物理学 2011-05-12 Jorge Dukelsky , Stuart Pittel

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…