The Algebraic Bethe Ansatz and Tensor Networks

Details The Algebraic Bethe Ansatz and Tensor Networks The Algebraic Bethe Ansatz and Tensor Networks

2012-01-26

arxiv.org/abs/1201.5627v1

Physics

Condensed Matter

Strongly Correlated Electrons

Scientific paper

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.

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