mu-symmetry breaking: An algebraic approach to finding mean fields of quantum many-body systems
mu-symmetry breaking: An algebraic approach to finding mean fields of quantum many-body systems
复制标题
mu 对称性破缺：寻找量子多体系统平均场的代数方法
DOI：
10.1103/physreva.94.013613
复制
发表时间：
2016
期刊：
影响因子：
--
通讯作者：
Sho Higashikawa and Masahito Ueda
中科院分区：
文献类型：
--
作者：
Zongping Gong;Sho Higashikawa;and Masahito Ueda;Sho Higashikawa and Masahito Ueda;Sho Higashikawa and Masahito Ueda
量子多体系统中最基本的问题之一是对称性自发破缺时平均场的确定，通常采用启发式的方法。我们提出了一个系统的方法来寻找一个平均场的基础上李代数和动力学对称性，通过引入一类对称性破缺相，我们称之为对称性破缺。我们发现，对称性破缺的Nambu-Goldstone模式的有效拉格朗日的二次部分可以块对角化，拓扑激发的同伦群可以系统地计算。
One of the most fundamental problems in quantum many-body systems is the identification of a mean field in spontaneous symmetry breaking which is usually made in a heuristic manner. We propose a systematic method of finding a mean field based on the Lie algebra and the dynamical symmetry by introducing a class of symmetry-broken phases which we call-symmetry breaking. We show that for-symmetry breaking the quadratic part of an effective Lagrangian of Nambu-Goldstone modes can be block-diagonalized and that homotopy groups of topological excitations can be calculated systematically.