Entanglement in One-Dimensional Spin Systems

Details Entanglement in One-Dimensional Spin Systems Entanglement in One-Dimensional Spin Systems

2006-04-24

arxiv.org/abs/cond-mat/0604553v1

Proceedings of SPIE Vol. 5436 "Quantum Information and Computation II", pp 150-161, Editors E. Donkor and A. R. Pirich and H.

Physics

Condensed Matter

Strongly Correlated Electrons

14 pages, 32 figures, revtex4

Scientific paper

10.1117/12.542337

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.

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