Novel approach of exploring ASEP-like models through the Yang Baxter Equation
Statistical Mechanics
2024-11-19 v1 Exactly Solvable and Integrable Systems
Quantum Physics
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.
Keywords
Cite
@article{arxiv.2403.03159,
title = {Novel approach of exploring ASEP-like models through the Yang Baxter Equation},
author = {Suvendu Barik and Alexander. S. Garkun and Vladimir Gritsev},
journal= {arXiv preprint arXiv:2403.03159},
year = {2024}
}
Comments
29 pages, 3 figures, to be submitted to J. Phys. A