Entanglement in One-Dimensional Spin Systems
摘要
For the anisotropic XY model in transverse magnetic field, we analyze the ground state and its concurrence-free point for generic anisotropy, and the time evolution of initial Bell states created in a fully polarized background and on the ground state. We find that the pairwise entanglement propagates with a velocity proportional to the reduced interaction for all the four Bell states. A transmutation from singlet-like to triplet-like states is observed during the propagation. Characteristic for the anisotropic models is the instantaneous creation of pairwise entanglement from a fully polarized state; furthermore, the propagation of pairwise entanglement is suppressed in favor of a creation of different types of entanglement. The ``entanglement wave'' evolving from a Bell state on the ground state turns out to be very localized in space-time. Our findings agree with a recently formulated conjecture on entanglement sharing; some results are interpreted in terms of this conjecture.
引用
@article{arxiv.cond-mat/0604553,
title = {Entanglement in One-Dimensional Spin Systems},
author = {A. Osterloh and L. Amico and F. Plastina and R. Fazio},
journal= {arXiv preprint arXiv:cond-mat/0604553},
year = {2009}
}
备注
14 pages, 32 figures, revtex4