Novel approach of exploring ASEP-like models through the Yang Baxter Equation
arXiv:2403.03159 · doi:10.1088/1751-8121/ad6f81
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.
arXiv comment29 pages, 3 figures, to be submitted to J. Phys. A
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