Quantum Integrable 1D anyonic Models: Construction through Braided Yang-Baxter Equation
Exactly Solvable and Integrable Systems
2015-02-04 v3 Statistical Mechanics
High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
Applying braided Yang-Baxter equation quantum integrable and Bethe ansatz solvable 1D anyonic lattice and field models are constructed. Along with known models we discover novel lattice anyonic and -anyonic models as well as nonlinear Schr\"odinger equation (NLS) and the derivative NLS quantum field models involving anyonic operators, -particle sectors of which yield the well known anyon gases, interacting through and derivative -function potentials.
Cite
@article{arxiv.1005.4603,
title = {Quantum Integrable 1D anyonic Models: Construction through Braided Yang-Baxter Equation},
author = {Anjan Kundu},
journal= {arXiv preprint arXiv:1005.4603},
year = {2015}
}
Comments
v2: included explicit forms of the Lax operator and various forms of anyonic realizations; v3: published version