Connected correlations, fluctuations and current of magnetization in the steady state of boundary driven XXZ spin chains
Connected correlations, fluctuations and current of magnetization in the steady state of boundary driven XXZ spin chains
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边界驱动 XXZ 自旋链稳态下磁化强度的相关性、波动和电流
DOI：
10.1088/1742-5468/2016/02/023102
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发表时间：
2015
期刊：
影响因子：
--
通讯作者：
T. Prosen
中科院分区：
文献类型：
--
作者：
B. Buča;T. Prosen
我们展示了如何利用构成边界驱动量子自旋链的非平衡矩阵乘积稳态的算子（或矩阵）之间的代数关系来找到确定连续（或热力学）极限中所有m点相关函数的偏微分方程。这些偏微分方程，其阶数由非平衡配分函数的标度确定，如果我们也知道边界条件，就很容易求解。这样我们就可以避免求助于矩阵乘积代数的表示论。我们应用我们的方法来研究的分布，或时刻，在边界驱动的开放XXZ自旋链的磁化和自旋电流观测值，以及一些连接的相关函数。有趣的是，我们发现在各向同性点Δ=1？>处，横向关联函数是非衰减的，并且是长程的.
We show how to exploit algebraic relations among the operators (or matrices) which constitute the non-equilibrium matrix product steady state of a boundary driven quantum spin chain to find partial differential equations determining all the m-point correlation functions in the continuum (or thermodynamic) limit. These partial differential equations, the order of which is determined by scaling of the non-equilibrium partition function, are readily solved if we also know the boundary conditions. In this way we can avoid resorting to representation theory of the matrix product algebra. We apply our methods to study the distributions, or moments, of the magnetization and the spin current observables in boundary driven open XXZ spin chains, as well as some connected correlation functions. Interestingly, we find that the transverse connected correlation functions are thermodynamically non-decaying and long range at the isotropic point Δ=1 ?>.
耗散量子伊辛模型的动力学阶段和间歇性
DOI：
10.48550/arxiv.1112.4273
发表时间：
2011
期刊：
--
影响因子：
--
作者：
Ates C
通讯作者：
Ates C