AI 中文总结
研究人员开发了基于SymPy的Python代数系统SymQuPS,用于量子力学的相空间表示与正则量子化,可处理Lindblad主方程的相空间表示,具备s序算子等核心功能,还对其性能进行了讨论。
AI 中文摘要
我们提出了基于SymPy的Python代数系统SymQuPS,主要面向Cahill-Glauber形式体系内量子力学的相空间表示,包括Glauber-Sudarshan P表示、Wigner表示和Husimi Q表示。该包还可作为正则量子化的代数工具,其关键特性是任意Lindblad主方程的相空间表示,可给出量子系统的相空间运动方程。我们描述了该包的核心功能,包括s序算子、星积和相空间表示,还给出了一些使用示例说明其应用,并讨论了该包在典型用例中的性能。
英文摘要
We present \texttt{SymQuPS}, a SymPy-based algebra system in Python mainly aimed toward the phase space representation of quantum mechanics within the Cahill-Glauber formalism (including the Glauber-Sudarshan $P$, Wigner, and Husimi $Q$ representations). By extension, the package serves as an algebraic venue for canonical quantization. A key feature is the phase space representation of an arbitrary Lindblad master equation, which gives the phase space equation of motion of the quantum system. We describe the core functionalities of the package, consisting of $s$-ordered operators, the star products, and the phase space representation. Some examples of use are given to illustrate the application of the package, and the package's performance in typical use cases is discussed.
Comments15 pages, 1 figure