I will consider entanglement entropy and correlation functions in two different set states [wave functions]: Bethe Ansatz and Valence Bond Solid states [discovered by Affleck, Kennedy, Lieb and Tasaki]. I will argue that these states are essentially different. As measure of entanglement we will use von Neumann entropy or Renyi entropy. Main results obtained analytically by means of FisherHarwig formula, desribing Toeplitz determinants.
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