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

TL;DR

This paper investigates how classical and quantum correlations evolve over time in hybrid qubit-qutrit systems under classical dephasing, revealing phenomena like sudden transitions and independent dynamics of discord measures.

Contribution

It provides a comparative analysis of correlation dynamics in independent and common dephasing environments, highlighting novel behaviors such as sudden transitions and discord independence.

Findings

Demonstrated sudden transition between classical and quantum decoherence.

Showed quantum and geometric discord can evolve independently temporarily.

Analyzed correlation dynamics in both independent and common environments.

Abstract

We study the time evolution of classical and quantum correlations for hybrid qubit-qutrit systems in independent and common classical dephasing environments. Our discussion involves a comparative analysis of the Markovian dynamics of negativity, quantum discord, geometric measure of quantum discord and classical correlation. For the case of independent environments, we have demonstrated the phenomenon of sudden transition between classical and quantum decoherence for qubit-qutrit states. In the common environment case, we have shown that dynamics of quantum and geometric discords might be completely independent of each other for a certain time interval, although they tend to be eventually in accord.