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We investigate the dynamics of quantum entanglement and more general quantumcorrelations quantified respectively via negativity and local quantumuncertainty for two qubit systems undergoing Markovian collective dephasing.Focusing on a two-parameter family of initial two-qubit density matrices, westudy the relation of the emergence of the curious phenomenon of time-invariantentanglement and the dynamical behavior of local quantum uncertainty.Developing an illustrative geometric approach, we demonstrate the existence ofdistinct regions of quantum entanglement for the considered initial states andidentify the region that allows for completely frozen entanglement throughoutthe dynamics, accompanied by generation of local quantum uncertainty.Furthermore, we present a systematic analysis of different dynamical behaviorsof local quantum uncertainty such as its sudden change or smooth amplification,in relation with the dynamics of entanglement.

Invariant entanglement and generation of quantum correlations under global dephasing