Evolution of pairwise entanglement in a coupled n-body system

Details Evolution of pairwise entanglement in a coupled n-body system Evolution of pairwise entanglement in a coupled n-body system

2005-03-21

arxiv.org/abs/quant-ph/0503177v2

Phys. Rev. A 73(1), 012305, (2006)

Physics

Quantum Physics

4 pages, 4 figures; RevTex4, Fixed typo in Eq. 3 and in concurrence definition

Scientific paper

10.1103/PhysRevA.73.012305

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.

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