We consider the asymmetric simple exclusion process (ASEP) with open boundary condition at the left boundary, where particles exit at rate γ and enter at rate α = γτ², and where τ is the asymmetry parameter in the bulk. At the right boundary, particles neither enter nor exit. By mapping the generator to the Hamiltonian of an XXZ quantum spin chain with reflection matrices, and using previously known results, we show algebraic symmetry and self–duality for the model.

中文翻译：

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开放式ASEP的代数对称性和自对偶性

我们认为，非对称简单排斥处理（ASEP）开放边界条件在左侧边界，在那里颗粒出口以速率γ和在速率输入α = γ τ ²，并且其中τ是在本体的不对称参数。在正确的边界处，粒子既不会进入也不会离开。通过将生成器映射到具有反射矩阵的XXZ量子自旋链的哈密顿量，并使用先前已知的结果，我们证明了该模型的代数对称性和自对偶性。