dorsal/arxiv
View SchemaDynamics of Entanglement in One-Dimensional Spin Systems
| Authors | L. Amico, A. Osterloh, F. Plastina, R. Fazio, G. M. Palma |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0307048 |
| URL | https://arxiv.org/abs/quant-ph/0307048 |
| DOI | 10.1103/PhysRevA.69.022304 |
| Journal | Phys. Rev. A. 69, 022304 (2004). |
Abstract
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. Singlet-like states are favored during the propagation, in the sense that triplet-like 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. Further support to a recently formulated conjecture on entanglement sharing is given.
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"abstract": "We study the dynamics of quantum correlations in a class of exactly solvable\nIsing-type models. We analyze in particular the time evolution of initial Bell\nstates created in a fully polarized background and on the ground state. We find\nthat the pairwise entanglement propagates with a velocity proportional to the\nreduced interaction for all the four Bell states. Singlet-like states are\nfavored during the propagation, in the sense that triplet-like states change\ntheir character during the propagation under certain circumstances.\nCharacteristic for the anisotropic models is the instantaneous creation of\npairwise entanglement from a fully polarized state; furthermore, the\npropagation of pairwise entanglement is suppressed in favor of a creation of\ndifferent types of entanglement. The ``entanglement wave\u0027\u0027 evolving from a Bell\nstate on the ground state turns out to be very localized in space-time. Further\nsupport to a recently formulated conjecture on entanglement sharing is given.",
"arxiv_id": "quant-ph/0307048",
"authors": [
"L. Amico",
"A. Osterloh",
"F. Plastina",
"R. Fazio",
"G. M. Palma"
],
"categories": [
"quant-ph",
"cond-mat.str-el"
],
"doi": "10.1103/PhysRevA.69.022304",
"journal_ref": "Phys. Rev. A. 69, 022304 (2004).",
"title": "Dynamics of Entanglement in One-Dimensional Spin Systems",
"url": "https://arxiv.org/abs/quant-ph/0307048"
},
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