Application of operator algebras to stochastic dynamics and the Heisenberg chain.
Application of operator algebras to stochastic dynamics and the Heisenberg chain.
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算子代数在随机动力学和海森堡链中的应用。
DOI：
10.1103/physrevlett.75.140
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发表时间：
1995
影响因子：
8.6
通讯作者：
S. Gm
中科院分区：
文献类型：
--
作者：
Stinchcombe Rb;S. Gm
利用代数运算简化了涉及两个非局域算符C，D的随机动力学和量子自旋链的一种新描述。对于硬核粒子的对称跃迁及其相关的海森堡链，算符代数可以写成简化的形式2Ḋ=[[C，D]，C−1]，2D 2=C D C−1 D+D C−1 DC。这些方程分别描述了交换过程中的扩散动力学和相变，得到了具有对称破缺边界场的各向同性Heisenberg链谱的Bethe ansatz方程。这为边界驱动系统的动力学提供了新的精确结果。
Algebraic manipulations are used to reduce a new description of stochastic dynamics and quantum spin chains involving two nonlocal operators C, D. For the symmetric hopping of hard-core particles, and its associated Heisenberg chain, the operator algebra may be written in the reduced form 2 D ̇=[[C, D], C− 1], 2 D 2= C D C− 1 D+ D C− 1 DC. These equations are shown to describe diffusive dynamics and phase change on interchange, respectively, and to lead to Bethe ansatz equations for the spectrum of the isotropic Heisenberg chain with symmetry-breaking boundary fields. This yields new exact results for the dynamics of boundary-driven systems.