English

The nested Algebraic Bethe Ansatz for the supersymmetric t-J and Tensor Networks

Strongly Correlated Electrons 2015-05-27 v1

Abstract

We consider a model of strongly correlated electrons in 1D called the t-J model, which was solved by graded algebraic Bethe ansatz. We use it to design graded tensor networks which can be contracted approximately to obtain a Matrix Product State. As a proof of principle, we calculate observables of ground states and excited states of finite lattices up to 1818 lattice sites.

Keywords

Cite

@article{arxiv.1411.2839,
  title  = {The nested Algebraic Bethe Ansatz for the supersymmetric t-J and Tensor Networks},
  author = {You Quan Chong and Valentin Murg and Vladimir Korepin and Frank Verstraete},
  journal= {arXiv preprint arXiv:1411.2839},
  year   = {2015}
}

Comments

15 pages, 13 figures