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Quantum Information Processing

Effects of a phase-damping cavity on entanglement and purity loss in two-qubit system

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

Published Feb 26, 2015• 2 citations
Publisher
DOI
10.1007/s11128-015-0952-x

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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 our work, we have explored the phase space nonlinear coherent-Kerr-cavity nonclassicality and purity loss induced by off-resonant intensity-dependent cavity-qubit interactions under atomic spontaneous-emission dissipation effect. The generation of the cavity purity loss (mixedness) dynamics, by using von Neumann entropy, is linked to the nonclassicality's Wigner distribution dynamics, which is investigated at spastic times chosen based on the von Neumann entropy's cavity dynamics. The temporal evolution of the largest negativity of the Wigner distribution is investigated under the physical system effects of the qubit spontaneous-emission dissipation, the detuning as well as the coherent-Kerr-cavity nonlinearity. The growths and the stability of the purity loss and the Wigner distribution negativity loss have the same behaviors. They depend on the Kerr-like nonlinearity and the dissipation couplings. These losses and their stability can be enhanced by increasing the dissipation coupling. It is found that the nonclassicality's phase space Wigner quasi-probability distribution and the mixedness of the generated coherent-Kerr-cavity states are highly sensitive to the physical system effects.