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Evolution of pairwise entanglement in a coupled n-body system

Carlos Pineda·Thomas H. Seligman
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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.

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Carlos Pineda, Thomas H. Seligman. 2005-04-04. Evolution of pairwise entanglement in a coupled n-body system. https://doi.org/10.1103/physreva.73.012305

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