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The Algebraic Bethe Ansatz and Tensor Networks
Published 26 Jan 2012 in cond-mat.str-el and quant-ph | (1201.5627v1)
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.
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