Publication

Matrix product state applications for the ALPS project

Timothée Ewart
2014
Journal Articles

Abstract

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 part of the ALPS package, that provide an efficient and flexible implementation of these methods based on a matrix product state (MPS) representation. Our applications implement, within the same framework, algorithms to variationally find the ground state and low-lying excited states as well as simulate the time evolution of arbitrary one-dimensional and two-dimensional models. Implementing the conservation of quantum numbers for generic Abelian symmetries, we achieve performance competitive with the best codes in the community. Example results are provided for (i) a model of itinerant fermions in one dimension and (ii) a model of quantum magnetism. (C) 2014 Elsevier B.V. All rights reserved.

Official source

https://infoscience.epfl.ch/entities/publication/99c77910-00d7-415a-bde7-fc6c06c26f3a

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Timothée Ewart
2014
Journal Articles

Abstract

Official source

https://infoscience.epfl.ch/entities/publication/99c77910-00d7-415a-bde7-fc6c06c26f3a

About this result

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In mathematics, a matrix (plural matrices) is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object or a property of such an object. For example, is a matrix with two rows and three columns. This is often referred to as a "two by three matrix", a " matrix", or a matrix of dimension . Without further specifications, matrices represent linear maps, and allow explicit computations in linear algebra.

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Related publications (32)

Matrix product state applications for the ALPS project

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