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We investigate the time evolution of negativity and quantum discord for apair of non-interacting qubits with one being weakly coupled to a decoheringDavies--type Markovian environment. At initial time of preparation, the qubitsare prepared in one of the maximally entangled pure Bell states. In thelimiting case of pure decoherence (i.e. pure dephasing), both, the quantumdiscord and negativity decay to zero in the long time limit. In presence of amanifest dissipative dynamics, the entanglement negativity undergoes a suddendeath at finite time while the quantum discord relaxes continuously to zerowith increasing time. We find that in dephasing environments the decay of thenegativity is more propitious with increasing time; in contrast, the evolvingdecay of the quantum discord proceeds weaker for dissipative environments.Particularly, the slowest decay of the quantum discord emerges when the energyrelaxation time matches the dephasing time.

Negativity and quantum discord in Davies environments