Dynamics of entanglement in one-dimensional spin systems (24 pages)
By L. Amico, A. Osterloh, F. Plastina, R. Fazio, G. M. Palma. 2003
212 citations recorded by the source corpus.
We study the dynamics of quantum correlations in a class of exactly solvable Ising-type models. We analyze in particular 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. Singletlike states are favored during the propagation, in the sense that tripletlike states change their character during the propagation under certain circumstances. 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.
Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics
View Paper: https://www.semanticscholar.org/paper/1433056c6f8bdc8d8444f31e26acb96e3cb7d73b
How researchers see this paper
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In Artificial Intelligence
- Pasquale Calabrese
- J. Cardy
- C. Kollath
- A. Laeuchli
- T. Takayanagi
- Thomas Hartman
- T. Nishioka
- E. Tonni
In Atomic and Molecular Physics, and Optics
- Pasquale Calabrese
- J. Cardy
- C. Kollath
- A. Laeuchli
- T. Takayanagi
- E. Tonni
- T. Nishioka
- Thomas Hartman
Citations in the corpus
- Evolution of entanglement entropy in one-dimensional systems (2005, background): “Only a few works considered some entanglement measures in rather specific models [13, 10], thus universal features as in the ground state have not yet emerged.”
- Spreading of correlations and entanglement after a quench in the one-dimensional Bose–Hubbard model (2008, result): “These characteristics of the entanglement evolution are similar to the results obtained for different models in [16, 42, 43, 17, 1, 44].”