Entanglement in spin chains with gradients
Statistical Mechanics
2009-11-13 v2
Abstract
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.
Cite
@article{arxiv.0810.3788,
title = {Entanglement in spin chains with gradients},
author = {V. Eisler and F. Igloi and I. Peschel},
journal= {arXiv preprint arXiv:0810.3788},
year = {2009}
}
Comments
16 pages, 11 figures, 2 references added