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Journal of Russian Laser Research

Death of entanglement and purity in a two qubits–field system induced by phase damping

A.‐S. F. Obada, H. A. Hessian, A.‐B. A. Mohamed, Mostafa Hashem

Published Jan 1, 2012• 1 citation
Publisher
DOI
10.1007/s10946-012-9256-0

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In this paper, we analyze the dynamics of non-local correlations (NLCs) in an anisotropic two-qubit Heisenberg XYZ model under the effect of the phase damping. An analytical solution is obtained by applying a method based on the eigenstates and the eigenvalues of the Hamiltonian. It is observed that the generated NLCs are controlled by the Dzyaloshinskii–Moriya interaction, the purity indicator, the interaction with the environment, and the anisotropy. Furthermore, it is found that the quantum correlations, as well as the sudden death and sudden birth phenomena, depend on the considered physical parameters. In particular, the system presents a special correlation: the skew-information correlation. The log-negativity and the uncertainty-induced non-locality exhibit the sudden-change behavior. The purity of the initial states plays a crucial role on the generated nonlocal correlations. These correlations are sensitive to the DM interaction, anisotropy, and phase damping.
Death of entanglement between light and the vibrational motion of a single trapped ion in the dispersive regime with a reservoir is investigated. It is found that with phase-damped cavity, the purity of the light-motional states is lost forever, unlike the purity of the ion's internal states which have regular patterns and they do not decay. The asymptotic behavior of the states of the light, the ion-motional and the total system fall into a mixed state. The entanglement and purity have strong sensitivity to the phase damping and the ionic distribution angle. The entanglement sudden death has been treated as it arises from the effect of phase damping on mixed as well as pure states.
In this paper, we study entanglement dynamics of a two-qubit extended Werner-like state locally interacting with independent noisy channels, i.e., amplitude damping, phase damping, and depolarizing channels. We show that the purity of initial entangled state has direct impacts on the entanglement robustness in each noisy channel. That is, if the initial entangled state is prepared in mixed instead of pure form, the state may exhibit entanglement sudden death (ESD) and/or be decreased for the critical probability at which the entanglement disappear.