Matrix product state applications for the ALPS project

Published: 01-01-2014| Version 1 | DOI: 10.17632/f879k48yny.1
Michele Dolfi,
Bela Bauer,
Sebastian Keller,
Alexandr Kosenkov,
Timothée Ewart,
Adrian Kantian,
Thierry Giamarchi,
Matthias Troyer


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 ... Title of program: ALPS MPS Catalogue Id: AEUL_v1_0 Nature of problem Solution of quantum many-body systems is generally a hard problem. The many-body Hilbert space grows exponentially with the system size which limits exact diagonalization results to only 20 - 40 spins, and the fermionic negative sign problem limits the Quantum Monte Carlo methods to a few special cases. Versions of this program held in the CPC repository in Mendeley Data AEUL_v1_0; ALPS MPS; 10.1016/j.cpc.2014.08.019 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2018)