Spectrum of the Open Asymmetric Simple Exclusion Process with Arbitrary Boundary Parameters
WEN Fa-Kai1, YANG Zhan-Ying1**, CUI Shuai3, CAO Jun-Peng3, YANG Wen-Li2**
1School of Physics, Northwest University, Xi'an 710069 2Institute of Modern Physics, Northwest University, Xi'an 710069 3Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190
Abstract:We study the one-dimensional asymmetric simple exclusion process (ASEP) with generic open boundaries (including current-counting deformation), and obtain the exact solutions of this ASEP via the off-diagonal Bethe ansatz method. In particular, numerical results for the small size asymmetric simple exclusion process indicate that the spectrum obtained by the Bethe ansatz equations is complete. Moreover, we present the eigenvalue of the totally asymmetric exclusion process and the corresponding Bethe ansatz equations.
. [J]. 中国物理快报, 2015, 32(5): 50503-050503.
WEN Fa-Kai, YANG Zhan-Ying, CUI Shuai, CAO Jun-Peng, YANG Wen-Li. Spectrum of the Open Asymmetric Simple Exclusion Process with Arbitrary Boundary Parameters. Chin. Phys. Lett., 2015, 32(5): 50503-050503.