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Proceedings Paper

Entanglement in one-dimensional spin systems
Author(s): Andreas Osterloh; Luigi Amico; Francesco Plastina; Rosario Fazio
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Paper Abstract

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.

Paper Details

Date Published: 24 August 2004
PDF: 12 pages
Proc. SPIE 5436, Quantum Information and Computation II, (24 August 2004); doi: 10.1117/12.542337
Show Author Affiliations
Andreas Osterloh, MATIS-INFM (Italy)
DMFCI, Univ. di Catania (Italy)
Luigi Amico, MATIS-INFM (Italy)
DMFCI, Univ. di Catania (Italy)
Francesco Plastina, NEST-INFM (Italy)
Scuola Normale Superiore (Italy)
Rosario Fazio, NEST-INFM (Italy)
Scuola Normale Superiore (Italy)

Published in SPIE Proceedings Vol. 5436:
Quantum Information and Computation II
Eric Donkor; Andrew R. Pirich; Howard E. Brandt, Editor(s)

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