arXiv:2409.09618 · Physical review. B./Physical review. B

Bethe ansatz approach for the steady state of the asymmetric simple exclusion process with open boundaries

Xin Zhang, Fa-Kai Wen

Published Jan 22, 2025• 0 citations

Abstract

We study the asymmetric simple exclusion process with nondiagonal boundary terms under a specific constraint. A symmetric chiral basis is constructed and a special string solution of the Bethe ansatz equations corresponding to the steady state is presented. Using the coordinate Bethe ansatz method, we derive a concise expression for the steady state. The current and density profile in the steady state are also studied.

DOI: 10.1103/physrevb.111.035438

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