1201.5627 (Valentin Murg et al.)

The Algebraic Bethe Ansatz and Tensor Networks    [PDF]

Valentin Murg, Vladimir E. Korepin, Frank Verstraete

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.

View original: http://arxiv.org/abs/1201.5627