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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 reformulate the density matrix renormalization group method (DMRG) in terms of a single block, instead of the standard left and right blocks used in the construction of the superblock. This version of the DMRG, which we call the puncture…

凝聚态物理 · 物理学 2009-10-31 M. A. Martin-Delgado , J. Rodriguez-Laguna , G. Sierra

We adapt White's density matrix renormalisation group (DMRG) to the direct study of critical phenomena. We use the DMRG to generate transformations in the space of coupling constants. We postulate that a study of density matrix eigenvalues…

凝聚态物理 · 物理学 2007-05-23 R. J. Bursill , F. Gode

We present a method for computing resonant inelastic x-ray scattering (RIXS) spectra in one-dimensional systems using the density matrix renormalization group (DMRG) method. By using DMRG to address the problem, we shift the computational…

强关联电子 · 物理学 2018-09-20 A. Nocera , U. Kumar , N. Kaushal , G. Alvarez , E. Dagotto , S. Johnston

Dense relativistic matter has attracted a lot of attention over many decades now, with a focus on an understanding of the phase structure and thermodynamics of dense strong-interaction matter. The analysis of dense strong-interaction matter…

高能物理 - 唯象学 · 物理学 2021-11-17 Jens Braun , Timon Dörnfeld , Benedikt Schallmo , Sebastian Töpfel

We propose a new concept upon the renormalization group (RG) procedure for an interacting many-electron correlated system in the framework of natural orbitals, and formulate an algorithm for this RG approach. To demonstrate its…

强关联电子 · 物理学 2014-02-17 Rong-Qiang He , Zhong-Yi Lu

The renormalization group (RG) method is one of the singular perturbation methods which is used in search for asymptotic behavior of solutions of differential equations. In this article, time-independent vector fields and time (almost)…

动力系统 · 数学 2015-05-14 Hayato Chiba

We use the numerical renormalization group method (NRG) to investigate a single-impurity Anderson model with a coupling of the impurity to a superconducting host. Analysis of the energy flow shows, in contrast to previous belief, that NRG…

强关联电子 · 物理学 2015-05-13 Theresa Hecht , Andreas Weichselbaum , Jan von Delft , Ralf Bulla

I compute a renormalization group (RG) improvement to the standard beyond-linear-order Eulerian perturbation theory (PT) calculation of the power spectrum of large-scale density fluctuations in the Universe. At z=0, for a power spectrum…

天体物理学 · 物理学 2008-11-26 Patrick McDonald

We develop a Renormalization Group (RG) approach to the study of existence and uniqueness of solutions to stochastic partial differential equations driven by space-time white noise. As an example we prove well-posedness and independence of…

概率论 · 数学 2015-02-20 Antti Kupiainen

The renormalization group flow recently found by Br\'ezin and Zinn- Justin by integrating out redundant entries of the $(N+1)\times (N+1)$ hermitian random matrix is studied. By introducing explicitly the RG flow parameter, and adding…

高能物理 - 理论 · 物理学 2007-05-23 H. B. Gao

Using the example of configurations generated with the worm algorithm for the two-dimensional Ising model, we propose renormalization group (RG) transformations, inspired by the tensor RG, that can be applied to sets of images. We relate…

高能物理 - 格点 · 物理学 2021-01-01 Samuel Foreman , Joel Giedt , Yannick Meurice , Judah Unmuth-Yockey

We study the P\"oschl-Teller potential $V(x) = \alpha^2 g_s \sinh^{-2}(\alpha x) + \alpha^2 g_c \cosh^{-2}(\alpha x)$, for every value of the dimensionless parameters $g_s$ and $g_c$, including the less usual ranges for which the regular…

高能物理 - 理论 · 物理学 2023-09-06 Ulysses Camara da Silva , Andre Alves Lima , Carlos F. S. Pereira

We present two new analytic formulations of the Density Matrix Renormalization Group Method. In these formulations we combine the block renormalization group (BRG) procedure with Variational and Fokker-Planck methods. The BRG method is used…

凝聚态物理 · 物理学 2015-06-25 Miguel A. Martin-Delgado , German Sierra

The density matrix renormalization group (DMRG) algorithm is a cornerstone computational method for studying quantum many-body systems, renowned for its accuracy and adaptability. Despite DMRG's broad applicability across fields such as…

计算物理 · 物理学 2026-03-24 Per Sehlstedt , Jan Brandejs , Paolo Bientinesi , Lars Karlsson

The renormalization group (RG) method is extended for global asymptotic analysis of discrete systems. We show that the RG equation in the discretized form leads to difference equations corresponding to the Stuart-Landau or Ginzburg-Landau…

patt-sol · 物理学 2009-10-30 T. Kunihiro , J. Matsukidaira

Multi-scale renormalization group (RG) methods are reviewed and applied to the analysis of the effective potential for radiative symmetry breaking with multiple scalar fields, allowing an extension of the Gildener & Weinberg (GW) method…

高能物理 - 唯象学 · 物理学 2014-11-19 T. G. Steele , Zhi-Wei Wang , D. G. C. McKeon

We develop a theoretical approach to ``spontaneous stochasticity'' in classical dynamical systems that are nearly singular and weakly perturbed by noise. This phenomenon is associated to a breakdown in uniqueness of solutions for fixed…

统计力学 · 物理学 2020-11-04 Gregory L. Eyink , Dmytro Bandak

The renormalization group (RG) is an essential technique in statistical physics and quantum field theory, which considers scale-invariant properties of physical theories and how these theories' parameters change with scaling. Deep learning…

统计力学 · 物理学 2023-08-23 Kelsie Taylor

We apply the renormalization group (RG) method to examine the observable scaling properties in Newtonian cosmology. The original scaling properties of the equations of motion in our model are modified for averaged observables on constant…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Y. Sota , T. Kobayashi , K. Maeda , T. Kurokawa , M. Morikawa , A. Nakamichi