We study the one-dimensional asymmetric simple exclusion process (ASEP) with generic open boundaries (in- cluding current-counting deformation), and obtain the exact solutions of this ASEP via the off-diagonal Bet...We study the one-dimensional asymmetric simple exclusion process (ASEP) with generic open boundaries (in- cluding 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.展开更多
基金Supported by the National Natural Science Foundation of China under Grant Nos 11375141,11475135,11434013 and 11425522the Ministry of Education Doctoral Program Fund under Grant No 20126101110004the Northwest University Graduate Student Innovation Fund under Grant No YZZ14104
文摘We study the one-dimensional asymmetric simple exclusion process (ASEP) with generic open boundaries (in- cluding 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.