摘要翻译：
本文首先简要介绍了量子相变，强调了量子相变与经典热相变的异同。在指出量子相变带来的计算挑战之后，讨论了一些成功的计算方法。重点讨论了经典蒙特卡罗方法和量子蒙特卡罗方法，前者基于量子到经典的映射，而后者直接针对量子问题。这些方法通过清洁和无序体系中的几个量子相变实例加以说明。
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英文标题：
《Computing quantum phase transitions》
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作者：
Thomas Vojta
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最新提交年份：
2007
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分类信息：

一级分类：Physics        物理学
二级分类：Statistical Mechanics        统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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一级分类：Physics        物理学
二级分类：Strongly Correlated Electrons        强关联电子
分类描述：Quantum magnetism, non-Fermi liquids, spin liquids, quantum criticality, charge density waves, metal-insulator transitions
量子磁学，非费米液体，自旋液体，量子临界性，电荷密度波，金属-绝缘体跃迁
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英文摘要：
  This article first gives a concise introduction to quantum phase transitions, emphasizing similarities with and differences to classical thermal transitions. After pointing out the computational challenges posed by quantum phase transitions, a number of successful computational approaches is discussed. The focus is on classical and quantum Monte Carlo methods, with the former being based on the quantum-to classical mapping while the latter directly attack the quantum problem. These methods are illustrated by several examples of quantum phase transitions in clean and disordered systems.
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PDF链接：
https://arxiv.org/pdf/709.0964