The Algebraic Bethe Ansatz and Tensor Networks
classification
❄️ cond-mat.str-el
quant-ph
keywords
bethealgebraicansatztensornetworksboundarychainsconditions
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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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