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.
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页码：663 / 667
页数：5
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