APPLICATION OF OPERATOR-ALGEBRAS TO STOCHASTIC DYNAMICS AND THE HEISENBERG CHAIN

被引:89
作者
STINCHCOMBE, RB
SCHUTZ, GM
机构
[1] Theoretical Physics, University of Oxford, Oxford OX1 3NP
关键词
D O I
10.1103/PhysRevLett.75.140
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
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 2D=[[C,D],C-1], 2D2=CDC-1D+DC-1DC. 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. © 1995 The American Physical Society.
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页码:140 / 143
页数:4
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