Evolution of pairwise entanglement in a coupled n-body system
Quantum Physics
2007-11-30 v2
Abstract
We study the exact evolution of two non-interacting qubits, initially in a Bell state, in the presence of an environment, modeled by a kicked Ising spin chain. Dynamics of this model range from integrable to chaotic and we can handle numerics for a large number of qubits. We find that the entanglement (as measured by concurrence) of the two qubits has a close relation to the purity of the pair, and follows an analytic relation derived for Werner states. As a collateral result we find that an integrable environment causes quadratic decay of concurrence, while a chaotic environment causes linear decay.
Cite
@article{arxiv.quant-ph/0503177,
title = {Evolution of pairwise entanglement in a coupled n-body system},
author = {Carlos Pineda and Thomas H. Seligman},
journal= {arXiv preprint arXiv:quant-ph/0503177},
year = {2007}
}
Comments
4 pages, 4 figures; RevTex4, Fixed typo in Eq. 3 and in concurrence definition