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arXiv · 2403.03159

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

Suvendu Barik·Alexander. S. Garkun·Vladimir Gritsev
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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.

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Suvendu Barik, Alexander. S. Garkun, Vladimir Gritsev. 2024-03-05. Novel approach of exploring ASEP-like models through the Yang Baxter Equation. https://doi.org/10.1088/1751-8121/ad6f81

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