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

• URL: http://arxiv.org/abs/2403.03159v1
• Date: Tue, 5 Mar 2024 17:52:20 GMT
• Title: Novel approach of exploring ASEP-like models through the Yang Baxter Equation
• Authors: Suvendu Barik, Alexander. S. Garkun, Vladimir Gritsev
• Abstract summary: Ansatz of Yang Baxter Equation inspired by Bethe Ansatz treatment of 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. A summary of finalised results reveals general non-hermitian spin-1/2 chain models.
• Score: 49.1574468325115
• License: http://creativecommons.org/licenses/by/4.0/
• 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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