Matrix product state applications for the ALPS project

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)

【摘要】密度矩阵重整化群（density-matrix renormalization group）方法现已成为研究低维量子系统低能物理与动力学特性的标准计算手段。本文介绍了一套全新的应用程序，作为ALPS程序包的组成部分发布，该程序基于矩阵乘积态（matrix product state，MPS）表示实现了上述方法的高效灵活部署。本套应用在统一框架下实现了用于变分求解基态的各类算法……

程序名称：ALPS MPS
目录编号：AEUL_v1_0
问题属性：
量子多体系统的求解通常是一项极具挑战性的任务。多体希尔伯特空间（Hilbert space）随系统规模呈指数级增长，这使得精确对角化方法仅能处理20至40个自旋的系统；而费米子负符号问题则将量子蒙特卡洛（Quantum Monte Carlo）方法的应用范围限制在少数特定场景中。

存放在Mendeley数据集中CPC仓库内的该程序版本：AEUL_v1_0；ALPS MPS；10.1016/j.cpc.2014.08.019
本程序源自贝尔法斯特女王大学托管的CPC程序库（1969-2018年）