Derivation of the matrix product ansatz for the Heisenberg chain from the algebraic Bethe ansatz
Derivation of the matrix product ansatz for the Heisenberg chain from the algebraic Bethe ansatz
We derive a matrix product representation of the Bethe ansatz state for the XXX and XXZ spin-1/2 Heisenberg chains using the algebraic Bethe ansatz. In this representation, the components of the Bethe eigenstates are expressed as traces of products of matrices which act on ${\bar {\mathscr H}}$, the tensor product …