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We study the time evolution of classical and quantum correlations for hybridqubit-qutrit systems in independent and common classical dephasingenvironments. Our discussion involves a comparative analysis of the Markoviandynamics of negativity, quantum discord, geometric measure of quantum discordand classical correlation. For the case of independent environments, we havedemonstrated the phenomenon of sudden transition between classical and quantumdecoherence for qubit-qutrit states. In the common environment case, we haveshown that dynamics of quantum and geometric discords might be completelyindependent of each other for a certain time interval, although they tend to beeventually in accord.

Correlation Dynamics of Qubit-Qutrit Systems in a Classical Dephasing Environment