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arXiv:1007.2987 · Journal of Physics A Mathematical and Theoretical

Dynamics of entanglement and Bell non-locality for two stochastic qubits with dipole–dipole interaction

Ferdi Altintas, Resul Eryiğit

Published Sep 28, 2010• 20 citations
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Abstract

We have studied the analytical dynamics of Bell non-locality as measured by the CHSH inequality and entanglement as measured by concurrence for two noisy qubits that have the dipole–dipole interaction. The non-local entanglement created by the dipole–dipole interaction is found to be protected from sudden death for certain initial states.

DOI
10.1088/1751-8113/43/41/415306

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We have studied the analytical dynamics of Bell non-locality as measured by the CHSH inequality and entanglement as measured by concurrence for two noisy qubits that have the dipole–dipole interaction. The non-local entanglement created by the dipole–dipole interaction is found to be protected from sudden death for certain initial states.
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We investigate the internal-state Bell nonlocal entanglement dynamics, as measured by CHSH inequality of two atoms interacting with a vacuum multi-mode noise field by taking into account the spatial degrees of freedom of the two atoms. The dynamics of Bell nonlocality of the atoms with the atomic internal states being initially in a Werner-type state is studied, by deriving the analytical solutions of the Schrödinger equation, and tracing over the degrees of freedom of the field and the external motion of the two atoms. In addition, through comparison with entanglement as measured by concurrence, we find that the survival time of entanglement is much longer than that of the Bell-inequality violation. And the comparison of the quantum correlation time between two Werner-type states is discussed.
We analytically investigate two separated qubits inside an open cavity field. The cavity is initially prepared in a superposition coherent state. The non-locality correlations [including trace norm measurement induced non-locality, maximal Bell-correlation, and concurrence entanglement] of the two qubits are explored. It is shown that, the generated non-locality correlations crucially depend on the decay and the initial coherence intensity of the cavity field. The enhancement of the initial coherence intensity and its superposition leads to increasing the generated non-locality correlations. The phenomena of sudden birth and death entanglement are found.