TNSP: A framework supporting symmetry and fermion tensors for tensor network state methods

IF 7.2 2区 物理与天体物理 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Computer Physics Communications Pub Date : 2024-08-23 DOI:10.1016/j.cpc.2024.109355
Hao Zhang , Shaojun Dong , Chao Wang , Meng Zhang , Lixin He
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Abstract

Recent advancements have established tensor network states (TNS) as formidable tools for exploring the complex realm of strongly-correlated many-particle systems in both one and two dimensions. To tackle the challenges presented by strongly-correlated fermion systems, various fermion tensor network states (f-TNS) methodologies have been developed. However, implementing f-TNS methods poses substantial challenges due to their particularly complex nature, making development efforts significantly difficult. This complexity is further exacerbated by the lack of underlying software packages that facilitate the development of f-TNS. Previously, we developed TNSPackage, a software package designed for TNS methods [1]. Initially, this package was only capable of handling spin and boson models. To confront the challenges presented by f-TNS, TNSPackage has undergone significant enhancements in its latest version, incorporating support for both symmetry and fermion tensors. This updated version provides a uniform interface for the consistent management of tensors across boson, fermion, and various symmetry types, maintaining its user-friendly and versatile nature. This greatly facilitates the development of programs based on f-TNS. The new TNSP framework consists of two principal components: a low-level tensor package named TAT, which supports sophisticated tensor operations, and a high-level interface package called tetragono that is built upon TAT. The tetragono package is designed to significantly simplify the development of complex physical models on square lattices. The TNSPackage framework enables users to implement a wide range of physical models with greater ease, without the need to pay close attention to the underlying implementation details.

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TNSP:为张量网络状态方法提供对称性和费米子张量支持的框架
张量网络态(TNS)是探索一维和二维强相关多粒子系统复杂领域的有力工具。为了应对强相关费米子系统带来的挑战,人们开发了各种费米子张量网络态(f-TNS)方法。然而,由于费米子张量网络态的性质特别复杂,实施费米子张量网络态方法面临着巨大的挑战,给开发工作带来了极大的困难。由于缺乏促进 f-TNS 开发的基础软件包,这种复杂性进一步加剧。在此之前,我们开发了 TNSPackage,一个专为 TNS 方法设计的软件包[1]。最初,这个软件包只能处理自旋和玻色子模型。为了应对 f-TNS 带来的挑战,TNSPackage 在其最新版本中进行了重大改进,加入了对对称和费米子张量的支持。更新后的版本提供了统一的界面,可对玻色子、费米子和各种对称类型的张量进行一致的管理,保持了其用户友好性和通用性。这大大方便了基于 f-TNS 的程序开发。新的 TNSP 框架由两个主要部分组成:一个名为 TAT 的低级张量软件包(支持复杂的张量运算)和一个基于 TAT 的高级接口软件包(tetragono)。tetragono 软件包旨在大大简化方阵上复杂物理模型的开发。TNSPackage 框架使用户能够更轻松地实现各种物理模型,而无需密切关注底层实现细节。
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来源期刊
Computer Physics Communications
Computer Physics Communications 物理-计算机:跨学科应用
CiteScore
12.10
自引率
3.20%
发文量
287
审稿时长
5.3 months
期刊介绍: The focus of CPC is on contemporary computational methods and techniques and their implementation, the effectiveness of which will normally be evidenced by the author(s) within the context of a substantive problem in physics. Within this setting CPC publishes two types of paper. Computer Programs in Physics (CPiP) These papers describe significant computer programs to be archived in the CPC Program Library which is held in the Mendeley Data repository. The submitted software must be covered by an approved open source licence. Papers and associated computer programs that address a problem of contemporary interest in physics that cannot be solved by current software are particularly encouraged. Computational Physics Papers (CP) These are research papers in, but are not limited to, the following themes across computational physics and related disciplines. mathematical and numerical methods and algorithms; computational models including those associated with the design, control and analysis of experiments; and algebraic computation. Each will normally include software implementation and performance details. The software implementation should, ideally, be available via GitHub, Zenodo or an institutional repository.In addition, research papers on the impact of advanced computer architecture and special purpose computers on computing in the physical sciences and software topics related to, and of importance in, the physical sciences may be considered.
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