OPERATOR ALGEBRA FOR STOCHASTIC DYNAMICS AND THE HEISENBERG CHAIN

被引：56

作者：

STINCHCOMBE, RB

SCHUTZ, GM

机构：

[1] Theoretical Physics, University of Oxford, Oxford, 0X1 3NP

来源：

EUROPHYSICS LETTERS | 1995年 / 29卷 / 09期

关键词：

D O I：

10.1209/0295-5075/29/9/002

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The operator algebra C(S - D) = CD - DC = (S + D)C, DD + DD = 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.

引用

页码：663 / 667

页数：5