The Algebraic Bethe Ansatz and Tensor Networks
Strongly Correlated Electrons
2012-07-23 v1 Quantum Physics
Abstract
We describe the Algebraic Bethe Ansatz for the spin-1/2 XXX and XXZ Heisenberg chains with open and periodic boundary conditions in terms of tensor networks. These Bethe eigenstates have the structure of Matrix Product States with a conserved number of down-spins. The tensor network formulation suggestes possible extensions of the Algebraic Bethe Ansatz to two dimensions.
Keywords
Cite
@article{arxiv.1201.5627,
title = {The Algebraic Bethe Ansatz and Tensor Networks},
author = {Valentin Murg and Vladimir E. Korepin and Frank Verstraete},
journal= {arXiv preprint arXiv:1201.5627},
year = {2012}
}