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A variational ansatz for momentum eigenstates of translation invariant quantum spin chains is formulated.
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States satisfying this condition are also known as pure finitely correlated states
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For κ ≠ 0 \kappa\neq 0 , the operators ( 1 − e i κ E A ~ A ) (1-\mathrm{e}^{\mathrm{i}\kappa}E^{A}_{\tilde{A}}) and ( 1 − e − i κ E A A ~ ) (1-\mathrm{e}^{-\mathrm{i}\kappa}E^{\tilde{A}}_{A}) are not really singular and could also be inverted fully. This will lead to the same result due to our representation of B B
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