标题： 用张量网络模拟矩阵模型 显示英文标题

标题： Simulating matrix models with tensor networks

摘要： 矩阵模型作为没有显式空间依赖性的量子力学系统，为高维规范和引力理论提供了有价值的见解，尤其是在弦理论框架下，它们可以通过全息原理描述量子黑洞。 模拟这些模型可以探索其运动学和动力学特性，特别是在解析上难以处理的参数区域。 在本研究中，我们考察了张量网络技术在这些模拟中的潜力。 具体而言，我们将基态构造为矩阵乘积态，并分析了它们的纠缠结构等特征。 显示英文摘要

摘要： Matrix models, as quantum mechanical systems without explicit spatial dependence, provide valuable insights into higher-dimensional gauge and gravitational theories, especially within the framework of string theory, where they can describe quantum black holes via the holographic principle. Simulating these models allows for exploration of their kinematic and dynamic properties, particularly in parameter regimes that are analytically intractable. In this study, we examine the potential of tensor network techniques for such simulations. Specifically, we construct ground states as matrix product states and analyse features such as their entanglement structure.