pyBoLaNO: A Python symbolic package for normal ordering involving bosonic ladder operators

IF 7.2 2区物理与天体物理 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Computer Physics Communications Pub Date : 2025-04-15 DOI:10.1016/j.cpc.2025.109622

Hendry M. Lim , Donny Dwiputra , M. Shoufie Ukhtary , Ahmad R.T. Nugraha

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引用次数: 0

Abstract

We present pyBoLaNO, a Python symbolic package based on SymPy to quickly normal-order any polynomial in bosonic ladder operators regarding the canonical commutation relations, using Blasiak's formulae. By extension, this package offers the normal ordering of commutators of any two polynomials in bosonic ladder operators and the evaluation of the normal-ordered expectation value evolution in the Lindblad master equation framework for open quantum systems. The package supports multipartite descriptions and multiprocessing. We describe the package's workflow, show examples of use, and discuss its computational performance. All codes and examples are available on our GitHub repository.

Program summary

Program title: pyBoLaNO

CPC Library link to program files: https://doi.org/10.17632/v2jkpvd9z4.1

Developer's repository link: https://github.com/hendry24/pyBoLaNO

Licensing provisions: MIT License

Programming language: Python

Nature of problem: Normal ordering involving bosonic ladder operators regarding the canonical commutation relations.

Solution method: Blasiak's formulae for the normal ordering of an arbitrary monomial in bosonic ladder operators regarding the canonical commutation relations. Symbolic programming is fully provided by SymPy.

查看原文本刊更多论文

pyBoLaNO：一个Python符号包，用于涉及玻色子阶梯操作符的正常排序

我们提出了pyBoLaNO，一个基于SymPy的Python符号包，可以使用Blasiak公式快速处理关于正则交换关系的玻色子阶梯算子中的正序任意多项式。通过扩展，该包提供了玻色子阶梯算子中任意两个多项式的正序交换子，以及开放量子系统的Lindblad主方程框架中正序期望值演化的评价。该包支持多方描述和多处理。我们描述了包的工作流程，展示了使用示例，并讨论了它的计算性能。所有代码和示例都可以在我们的GitHub存储库中获得。程序摘要程序标题：pyBoLaNOCPC库链接到程序文件：https://doi.org/10.17632/v2jkpvd9z4.1Developer's存储库链接：https://github.com/hendry24/pyBoLaNOLicensing条款：MIT许可证编程语言：python问题的性质：正常排序涉及关于规范交换关系的玻色子阶梯算子。求解方法：关于正则交换关系的玻色子阶梯算子中任意单项式的正规序的Blasiak公式。符号编程完全由SymPy提供。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

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.