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arXiv · 1808.05880

$T$-$Q$ relations for the integrable two-species asymmetric simple exclusion process with open boundaries

Xin Zhang·Fakai Wen·Jan de Gier
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Abstract

We study the integrable two-species asymmetric simple exclusion process (ASEP) for two inequivalent types of open, non particle conserving boundary conditions. Employing the nested off-diagonal Bethe ansatz method, we construct for each case the corresponding homogeneous $T$-$Q$ relations and obtain the Bethe ansatz equations. Numerical checks for small system sizes show completeness for some Bethe ansatz equations, and partial completeness for others.

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Xin Zhang, Fakai Wen, Jan de Gier. 2018-08-17. $T$-$Q$ relations for the integrable two-species asymmetric simple exclusion process with open boundaries. https://doi.org/10.1088/1742-5468%2Faaeb4a

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