Freezing of quantum and classical correlations via trace and Hellinger distances

Abstract

Geometric measures of quantum and classical correlations are being proposed and characterized in qubit systems. In this work, the dynamics of quantum and classical correlations via trace and Hellinger distances is comparatively investigated for various initial states in a two-qutrit model under decoherence. It is shown that quantum correlations exhibit freezing in Markovian regime and multiple freezing with multiple sudden changes in non-Markovian regime, which is dependent on initial states and model parameters. Moreover, both measures evolve similar behaviors, but they are difference in the decaying or increasing rate, the revival amplitude, and the time interval of freezing. Remarkably, the time interval of freezing of trace quantum correlations is longer than that of Hellinger ones. However, the freezing of quantum correlations does not occur for the general Bell state, whereas classical ones are forever freezing. The dynamical hierarchy of both measures of correlations is discussed. Those are helpful to understand the rich phenomena of correlation dynamics in open qutrits.