用交换矩阵逼近量子自旋系统中的宏观观测量
Approximating macroscopic observables in quantum spin systems with commuting matrices
摘要：
量子自旋系统的宏观观测量由UHF代数中局部元$\frac{1}{2n+1}\sum_{j=-n}^nγ_j(A_{i}), \; n\in{\mathbb N},\; i=1,...,m$的空间平均序列给出。它们的一个性质是渐近地对易，因为$n$趋于无穷大。任何给定的渐近交换矩阵集都不能用范数拓扑中的交换矩阵来近似。在本文中，我们表明，对于宏观可观测量，这是真的。
英文摘要：
Macroscopic observables in a quantum spin system are given by sequences of spatial means of local elements $\frac{1}{2n+1}\sum_{j=-n}^nγ_j(A_{i}), \; n\in{\mathbb N},\; i=1,...,m$ in a UHF algebra. One of their properties is that they commute asymptotically, as $n$ goes to infinity. It is not true that any given set of asymptotically commuting matrices can be approximated by commuting ones in the norm topology. In this paper, we show that for macroscopic observables, this is true.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
