Integrable Stochastic Processes Associated with the $D_2$ Algebra
Mathematical Physics
2026-02-04 v2 math.MP
Abstract
We introduce an integrable stochastic process associated with the quantum group, which can be decomposed into two symmetric simple exclusion processes. We establish the integrability of the model under three types of boundary conditions (periodic, twisted, and open boundaries), and present its exact solution, including the spectrum, eigenstates, and some observables. This integrable model can be generalized to the asymmetric case, decomposing into two asymmetric simple exclusion processes, and its exact solutions are also studied.
Cite
@article{arxiv.2601.07265,
title = {Integrable Stochastic Processes Associated with the $D_2$ Algebra},
author = {Guang-Liang Li and Xin Zhang and Junpeng Cao and Wen-Li Yang and Yupeng Wang},
journal= {arXiv preprint arXiv:2601.07265},
year = {2026}
}