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.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.

arXiv:quant-ph/0307048Physical Review AFeb 13, 2004285 citations

Entanglement in one-dimensional spin systems

Andreas Osterloh, Luigi Amico A, Francesco Plastina +1 more

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.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.

arXiv:cond-mat/0604553Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIEAug 24, 20040 citations

Quantum Networks and Multi-Particle Entanglement

H. J. Briegel, S. J. van Enk, J. I. Cirac +9 more

Springer eBooksJan 1, 20003 citations

Enhancement of motional entanglement of cold atoms by pairwise scattering of photons

Rui Guo, Xiaoji Zhou, Xuzong Chen

The mechanism of pairwise scattering of photons with cold atoms is investigated. We show that considerable motional correlation can be established between atoms during the scattering process, which can effectively squeeze the scattering spectrum and can be utilized to produce highly entangled atomic wave packet. Under certain conditions, the atomic momentum entanglement can be efficiently enhanced beyond the 1 entanglement bit limit (known as $1\phantom{\rule{0.3em}{0ex}}\mathrm{ebit}$ , e.g., a Bell singlet state) with only single-photon scattering and detection.The mechanism of pairwise scattering of photons with cold atoms is investigated. We show that considerable motional correlation can be established between atoms during the scattering process, which can effectively squeeze the scattering spectrum and can be utilized to produce highly entangled atomic wave packet. Under certain conditions, the atomic momentum entanglement can be efficiently enhanced beyond the 1 entanglement bit limit (known as $1\phantom{\rule{0.3em}{0ex}}\mathrm{ebit}$, e.g., a Bell singlet state) with only single-photon scattering and detection.

Physical Review ANov 7, 20087 citations

Quantum entanglement and the Bell matrix

Anna Chiara Lai, Marco Pedicini, Silvia Rognone

Quantum Information ProcessingApr 13, 20161 citation

1\phantom{\rule{0.3em}{0ex}}\mathrm{ebit}

, e.g., a Bell singlet state) with only single-photon scattering and detection.