论文标题
热平衡中的量子多体系统
Quantum many-body systems in thermal equilibrium
论文作者
论文摘要
热或平衡合奏是物质中最普遍的状态之一。对于由许多本地相互作用的量子粒子组成的模型，它描述了广泛的物理情况，与凝聚的物理，高能量物理，量子化学和量子计算等相关。我们对这些国家的物理和复杂性的一些最重要的普遍特征进行了教学概述，这些特征在其核心中具有哈密顿量的位置。我们专注于数学上严格的陈述，其中许多是受量子信息理论的思想和工具的启发。这些包括其相关性，子系统的形式，各种统计特性以及经典和量子算法的性能。我们还包括一些最重要的技术工具以及一些独立的证据的摘要。
The thermal or equilibrium ensemble is one of the most ubiquitous states of matter. For models comprised of many locally interacting quantum particles, it describes a wide range of physical situations, relevant to condensed matter physics, high energy physics, quantum chemistry and quantum computing, among others. We give a pedagogical overview of some of the most important universal features about the physics and complexity of these states, which have the locality of the Hamiltonian at its core. We focus on mathematically rigorous statements, many of them inspired by ideas and tools from quantum information theory. These include bounds on their correlations, the form of the subsystems, various statistical properties, and the performance of classical and quantum algorithms. We also include a summary of a few of the most important technical tools, as well as some self-contained proofs.
