Operator Algebra for Stochastic Dynamics and the Heisenberg Chain
Operator Algebra for Stochastic Dynamics and the Heisenberg Chain
复制标题
随机动力学和海森堡链的算子代数
DOI：
10.1209/0295-5075/29/9/002
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发表时间：
1995
期刊：
影响因子：
1.8
通讯作者：
G. Schütz
中科院分区：
文献类型：
--
作者：
R. Stinchcombe;G. Schütz
算子代数C（S −）= CD − DC =（S +）C，D + D = DS − SD表示一维硬核粒子对称跳跃的随机动力学，并描述海森堡量子链。粒子或自旋状态由算符C和D的弦指定，S与电流有关。递归减少和矩阵表示用于获得固定和时间相关的属性，包括由开放边界之间的密度梯度驱动的系统的不断变化的配置文件。概括到其他模型的概述。
The operator algebra C(S − ) = CD − DC = (S + )C, D + D = DS − SD is shown to represent the stochastic dynamics of symmetric hopping of hard-core particles in one dimension and to describe the Heisenberg quantum chain. The particle or spin state is specified by strings of the operators C and D, and S is related to a current. Recursive reductions and matrix representations are used to obtain stationary and time-dependent properties, including the evolving profile for a system driven by a density gradient between open boundaries. Generalizations to other models are outlined.