Equivalent T-Q relations and exact results for the open TASEP

Abstract

Starting from the Bethe ansatz solution for the open Totally Asymmetric Simple Exclusion Process (TASEP), we compute the largest eigenvalue of the deformed Markovian matrix, in exact agreement with results obtained by the matrix ansatz. We also compute the eigenvalues of the higher conserved charges. The key step is to find a simpler equivalent T-Q relation, which is similar to the one for the TASEP with periodic boundary conditions.

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Cited by in corpus (9)

• The inverse scattering of the Zakharov-Shabat system solves the weak noise theory of the Kardar-Parisi-Zhang equation
• Systematic time expansion for the Kardar-Parisi-Zhang equation, linear statistics of the GUE at the edge and trapped fermions
• Heun operator of Lie type and the modified algebraic Bethe ansatz
• Riemann surface for TASEP with periodic boundaries
• KPZ fluctuations in finite volume
• Riemann surfaces for integer counting processes
• Current statistics in the q-boson zero range process
• Approach to stationarity for the KPZ fixed point with boundaries
• Matrix product solution of the stationary states of two-species open zero range processes