论文标题
初学者的量子链
The quantum Ising chain for beginners
论文作者
论文摘要
我们在这里介绍各种技术，以使用清洁和混乱的量子ising链，以使学生和非专家的利益。从将Spin-1/2系统映射到费米子系统的Jordan-Wigner转换开始，我们回顾了一些在这种情况下自然出现的超导相关性的基本方法。特别是，我们分析了模型的基态和激发的形式，将它们与对称性的物理学有关，并说明了与计算动力学数量，热平均值，相关函数和纠缠熵相关的方面。一些问题提供了这些技术的简单应用。
We present here various techniques to work with clean and disordered quantum Ising chains, for the benefit of students and non-experts. Starting from the Jordan-Wigner transformation, which maps spin-1/2 systems into fermionic ones, we review some of the basic approaches to deal with the superconducting correlations that naturally emerge in this context. In particular, we analyse the form of the ground state and excitations of the model, relating them to the symmetry-breaking physics, and illustrate aspects connected to calculating dynamical quantities, thermal averages, correlation functions and entanglement entropy. A few problems provide simple applications of the techniques.
