Novel approach of exploring ASEP-like models through the Yang Baxter Equation

Abstract

We explore the algebraic structure of a particular ansatz of Yang Baxter Equation which is inspired from the Bethe Ansatz treatment of the ASEP spin-model. Various classes of Hamiltonian density arriving from two types of R-Matrices are found which also appear as solutions of constant YBE. We identify the idempotent and nilpotent categories of such constant R-Matrices and perform a rank-1 numerical search for the lowest dimension. A summary of finalised results reveals general non-hermitian spin-1/2 chain models.

29 pages, 3 figures, to be submitted to J. Phys. A

References in corpus (2)

• The asymmetric simple exclusion process: an integrable model for non-equilibrium statistical mechanics
• Exact Spectral Gaps of the Asymmetric Exclusion Process with Open Boundaries

Cited by in corpus (1)

• Integrable models on Rydberg atom chains