Entanglement degradation under local dissipative Landau-Zener noise

We study entanglement degradation when one share of an entangled pair experiences noise. We consider the dissipative Landau-Zener model for describing local noise. The dissipative Landau-Zener model provides a convenient setting for modeling entanglement degradation with applications in quantum network developments and communications. Here, we study the problem in the fast- and slow-driving regimes. In the slow-driving regime, our results are analytical, while in the fast-driving regime, we use numerical techniques to obtain the results. Our study addresses the role of two main properties of the dynamics in entanglement degradation, namely, spin-coupling direction and adiabaticity of the dynamics. We derive an analytical expression for entanglement survival time versus bath temperature in the slow-driven regime. In both regimes, when the bath temperature is zero, we show that transversal spin-coupling has a less destructive effect on entanglement than longitudinal spin-coupling. We also show that entanglement degradation is weaker in the nonadiabatic regime compared to the adiabatic regime. Therefore, our results determine the proper choice of parameters for having less entanglement degradation in the presence of local noise described by the dissipative Landau-Zener model.