Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2008-10-21
J. Stat. Mech. (2009) P02011
Physics
Condensed Matter
Statistical Mechanics
16 pages, 11 figures, 2 references added
Scientific paper
10.1088/1742-5468/2009/02/P02011
We study solvable spin chains where either fields or couplings vary linearly in space and create a sandwich-like structure of the ground state. We find that the entanglement entropy between two halves of a chain varies logarithmically with the interface width. After quenching to a homogeneous critical system, the entropy grows logarithmically in time in the XX model, but quadratically in the transverse Ising chain. We explain this behaviour and indicate generalizations to other power laws.
Eisler Viktor
Igloi Ferenc
Peschel Ingo
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