Cayley树上最近邻模型对应量子Markov态的因子
On factors associated with quantum Markov states corresponding to nearest neighbor models on a Cayley tree
摘要：
在本文中，我们考虑最近邻模型中的自旋值在集合$Φ=\{\z_1,\z_2,...,\z_q\}$和被分配到顶点的凯莱树${\G}^k$。哈密顿量由给定的$λ$ -函数定义。我们找到了函数$λ$的一个条件，以确定由与$λ$ -模型的无序相对应的量子马尔可夫态相关联的GNS -构造所生成的von Neumann代数的类型.并给出了所得结果的一些物理应用。
英文摘要：
In this paper we consider nearest neighbour models where the spin takes values in the set $Φ=\{\z_1,\z_2,...,\z_q\}$ and is assigned to the vertices of the Cayley tree ${\G}^k$. The Hamiltonian is defined by some given $λ$-function. We find a condition for the function $λ$ to determine the type of the von Neumann algebra generated by the GNS - construction associated with the quantum Markov state corresponding to the unordered phase of the $λ$-model. Also we give some physical applications of the obtained result.
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。
