The quantum (non-Abelian) Potts model and its exact solution
Statistical Mechanics
2016-02-17 v3 Quantum Physics
Abstract
We generalize the classical one dimensional Potts model to the case where the symmetry group is a non-Abelian finite group. It turns out that this new model has a quantum nature in that its spectrum of energy eigenstates consists of entangled states. We determine the complete energy spectrum, i.e. the ground states and all the excited states with their degeneracy structure. We calculate the partition function by two different algebraic and combinatorial methods. We also determine the entanglement properties of its ground states.
Cite
@article{arxiv.1511.03636,
title = {The quantum (non-Abelian) Potts model and its exact solution},
author = {Razieh Mohseninia and Vahid Karimipour},
journal= {arXiv preprint arXiv:1511.03636},
year = {2016}
}
Comments
18 pages, 5 figures. Accepted for publication in Physical Review B