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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