We develop a package of numerical simulations implemented in MATLAB to solve complex many-body quantum systems. We focus on widely used examples that include the calculation of the magnetization dynamics for the closed and open Ising model, dynamical quantum phase transition in cavity QED arrays, Markovian dynamics for interacting two-level systems, and the non-Markovian dynamics of the pure-dephasing spin-boson model. These examples will be useful for undergraduate and graduate students with a medium or high background in MATLAB, and also for researches interested in numerical studies applied to quantum optics and condensed matter systems.

中文翻译：

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在 MATLAB 中编码封闭和开放量子系统：在量子光学和凝聚态中的应用

我们开发了一个在 MATLAB 中实现的数值模拟包，以解决复杂的多体量子系统。我们关注广泛使用的例子，包括封闭和开放 Ising 模型的磁化动力学计算、腔 QED 阵列中的动态量子相变、相互作用的两能级系统的马尔可夫动力学，以及纯-的非马尔可夫动力学。相移自旋玻色子模型。这些示例对于具有中高级 MATLAB 背景的本科生和研究生，以及对应用于量子光学和凝聚态系统的数值研究感兴趣的研究人员都很有用。