Matrix product formula for Uq(A2(1))-zero range process

被引：5

作者：

Kuniba, Atsuo ^{[1
]}

Okado, Masato ^{[2
]}

机构：

[1] Univ Tokyo, Inst Phys, Tokyo 1538902, Japan

[2] Osaka City Univ, Dept Math, Sumiyoshi Ku, 3-3-138 Sugimoto, Osaka 5588585, Japan

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2017年 / 50卷 / 04期

关键词：

quantum groups; integrable probability; zero range process; matrix product; YANG-BAXTER EQUATION; STEADY-STATES; MODELS; STATIONARY;

D O I：

10.1088/1751-8121/50/4/044001

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The U-q(A(n)((1)))-zero range processes introduced recently by Mangazeev, Maruyama and the authors are integrable discrete and continuous time Markov processes associated with the stochastic R matrix derived from the well-known U-q(A(n)((1))) quantum R matrix. By constructing a representation of the relevant Zamolodchikov-Faddeev algebra, we present, for n = 2, a matrix product formula for the steady state probabilities in terms of q-boson operators.

引用

页数：20

共 27 条

[1] Exact solutions of exactly integrable quantum chains by a matrix product ansatz [J].