Abstract
We study solvable spin chains where either fields or couplings vary linearly in space and createa sandwich-like structure of the ground state. We find that the entropy of entanglementbetween two halves of a chain varies logarithmically with the interface width. After quenchingto a homogeneous critical system, the entropy grows logarithmically in time in theXX model, but quadratically in the transverse Ising chain. We explain this behaviour andindicate generalizations to other power laws.
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