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
收藏
页码:279 / 282
页数:4
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