Dynamics of quantum information and entanglement in two qubits coupled to a Bose-Einstein condensate of microwave-shielded polar molecules

We theoretically investigate the dynamics of quantum information and entanglement of two distant qubits embedded in a thermal dephasing reservoir consisting of three-dimensional Bose-Einstein condensates of microwave-shielded polar molecules. We calculate the decoherence factors, the quantum Fisher information, and the decay rates in terms of the spatial separation between qubits, temperature, and Rabi frequency that tunes the shielding potential. The results show that the dynamics of decoherence factors and the quantum Fisher information are nonmonotonic with revival oscillations at larger separations due to interqubit and qubit-environment correlations. Within our proposed model we can significantly improve the estimation of the environment parameters such as the spectral density, which exhibits a super-Ohmic behavior, and temperature. We demonstrate that the shielding interaction may drive the system from the Markovian to the non-Markovian regime enabling us to well control the information flow dynamics and to reach higher values of entanglement.