Dynamic matrix product ansatz and Bethe ansatz equation for asymmetric exclusion process with periodic boundary

被引:15
|
作者
Sasamoto, T
Wadati, M
机构
[1] Department of Physics, Graduate School of Science, University of Tokyo, Bunkyo-ku, Tokyo 113
关键词
stochastic many-body system; asymmetric exclusion process; matrix product states; Bethe ansatz equation;
D O I
10.1143/JPSJ.66.279
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A new type of dynamic matrix product ansatz is proposed. The states which satisfy the ''imaginary time'' Schrodinger equation are represented in the form of products of time-dependent and time-independent matrices. From the algebra among the matrices, the Bethe ansatz equation is derived for the asymmetric exclusion process and the XXZ spin chain under the periodic boundary condition.
引用
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页码:279 / 282
页数:4
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