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The FE$^2$ homogenization algorithm for multiscale modeling iterates between the macroscale and the microscale (represented by a representative volume element) till convergence is achieved at every increment of macroscale loading. The…

Computational Engineering, Finance, and Science · Computer Science 2021-08-02 Saumik Dana , Mary F Wheeler

Criticality and symmetry, studied by the renormalization groups, lie at the heart of modern physics theories of matters and complex systems. However, surveying these properties with massive experimental data is bottlenecked by the…

Statistical Mechanics · Physics 2024-01-30 Yang Tian , Yizhou Xu , Pei Sun

The Density Matrix Renormalization Group (DMRG) method is developed for application to realistic nuclear systems. Test results are reported for 24Mg.

Nuclear Theory · Physics 2007-05-23 S. S. Dimitrova , S. Pittel , J. Dukelsky , M. V. Stoitsov

Large-scale computational experiments, often running over weeks and over large datasets, are used extensively in fields such as epidemiology, meteorology, computational biology, and healthcare to understand phenomena, and design high-stakes…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-09-25 Ravi Kiran Raman , Roman Vaculin , Michael Hind , Sekou L. Remy , Eleftheria K. Pissadaki , Nelson Kibichii Bore , Roozbeh Daneshvar , Biplav Srivastava , Kush R. Varshney

A formalism for electronic-structure calculations is presented that is based on the functional renormalization group (FRG). The traditional FRG has been formulated for systems that exhibit a translational symmetry with an associated Fermi…

Materials Science · Physics 2016-10-12 Christian Seiler , Ferdinand Evers

We present quantum algorithms for the estimation of n-time correlation functions, the local and non-local density of states, and dynamical linear response functions. These algorithms are all based on block-encodings - a versatile technique…

Quantum Physics · Physics 2020-08-19 Patrick Rall

A new application of the density matrix renormalization group (DMRG) method to a system composed of an interacting dot coupled to a infinite one dimensional lead is presented. This method enables one to study the influence of the coupling…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Richard Berkovits

We present the $T$-flow renormalization group method, which computes the memory kernel for the density-operator evolution of an open quantum system by lowering the physical temperature $T$ of its environment. This has the key advantage that…

Quantum Physics · Physics 2022-04-20 K. Nestmann , M. R. Wegewijs

We present release 2.0 of the ALPS (Algorithms and Libraries for Physics Simulations) project, an open source software project to develop libraries and application programs for the simulation of strongly correlated quantum lattice models…

We apply the density matrix renormalization group (DMRG) method to a non-equilibrium problem: the asymmetric exclusion process in one dimension. We study the stationary state of the process to calculate the particle density profile…

Statistical Mechanics · Physics 2009-10-30 Yasuhiro Hieida

We present a renormalization group (RG) procedure which works naturally on a wide class of interacting one-dimension models based on perturbed (possibly strongly) continuum conformal and integrable models. This procedure integrates Kenneth…

Strongly Correlated Electrons · Physics 2016-07-05 Robert M. Konik , Yury Adamov

Blockchain is an emerging technology that enables new forms of decentralized software architectures, where distributed components can reach agreements on shared system states without trusting a central integration point. Blockchain provides…

Software Engineering · Computer Science 2025-02-25 Xiwei Xu , Cesare Pautasso , Sin Kuang Lo , Liming Zhu , Qinghua Lu , Ingo Weber

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 introduce the Nuclear Electronic All-Particle Density Matrix Renormalization Group (NEAP-DMRG) method for solving the time-independent Schr\"odinger equation simultaneously for electrons and other quantum species. In contrast to already…

Chemical Physics · Physics 2020-05-29 Andrea Muolo , Alberto Baiardi , Robin Feldmann , Markus Reiher

Expanding and improving the repertoire of numerical methods for studying quantum lattice models is an ongoing focus in many-body physics. While the density matrix renormalization group (DMRG) has been established as a practically useful…

Strongly Correlated Electrons · Physics 2021-09-28 Maxwell Block , Johannes Motruk , Snir Gazit , Michael P. Zaletel , Zeph Landau , Umesh Vazirani , Norman Y. Yao

The density-matrix renormalization group method has become a standard computational approach to the low-energy physics as well as dynamics of low-dimensional quantum systems. In this paper, we present a new set of applications, available as…

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…

Quantum Physics · Physics 2011-02-11 Hiroshi Ueda , Tomotoshi Nishino , Koichi Kusakabe

We introduce a class of variational states to describe quantum many-body systems. This class generalizes matrix product states which underly the density-matrix renormalization group approach by combining them with weighted graph states.…

Quantum Physics · Physics 2009-11-13 R. Hübener , C. Kruszynska , L. Hartmann , W. Dür , F. Verstraete , J. Eisert , M. B. Plenio

RESPACK is a first-principles calculation software for evaluating the interaction parameters of materials and is able to calculate maximally localized Wannier functions, response functions based on the random phase approximation and related…

We introduce DiFfRG (Discretisation Framework for functional Renormalisation Group flows), a comprehensive computational C++ framework for solving functional Renormalisation Group flows in very general truncation schemes. Its central…

High Energy Physics - Phenomenology · Physics 2024-12-18 Franz R. Sattler , Jan M. Pawlowski
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