Uniform Bound of the Entanglement for the Ground State of the Quantum Ising Model with Large Transverse Magnetic Field
Journal of statistical physics(2020)
摘要
We consider the ground state of the quantum Ising model with transverse field h in one dimension in a finite volume $$\begin{aligned} \Lambda {_{m}:=\{-m,-m+1,\ldots ,m+L\}.} \end{aligned}$$For h sufficiently large we prove a bound for the entanglement of the interval $$\Lambda _{0}:=\left\{ 0,\ldots ,L\right\} $$ relative to its complement $$\Lambda _{m}\backslash \Lambda _{0}$$ which is uniform in m and L. The bound is established by means of a suitable cluster expansion.
更多查看译文
关键词
Quantum Ising model,Entanglement,Spin–flip processes,Gibbs random fields,Cluster expansion,60K35,82B10,82B31
AI 理解论文
溯源树
样例
生成溯源树,研究论文发展脉络
Chat Paper
正在生成论文摘要