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Title:
Correlations, dynamics and entanglement in Motzkin and Fredkin spin chains
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Abstract:
We analytically compute the correlation functions in two classes of integer and half-integer spin chains whose ground-states can be expressed in terms of uniform superpositions of colored Motzkin and Dyck paths. We find that when long distance correlations occur, a light-cone profile in the propagation of excitations after a local quench is absent and, correspondingly, there is a square-root deviation from the area law for the
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