# Stable and metastable freezing of classical correlations in qutrits

## TL;DR

This paper investigates how classical and quantum correlations evolve in a two-qutrit system under different decoherence regimes, revealing phenomena like freezing and sudden changes, with analytical insights into long-term behavior.

## Contribution

It introduces the concept of stable and metastable freezing of classical correlations in qutrits and provides analytical expressions for correlations and pointer states in long-time limits.

## Key findings

- Classical correlations can abruptly freeze at specific times.
- Two decoherence regimes identified: mixed and quantum.
- Analytical expressions for correlations and pointer states derived.

## Abstract

We study the dynamics of quantum and classical correlations in a two-qutrit system coupled to independent reservoirs. In particular, we addressed the differences in the dynamics of Markovian and non-Markovian regimes and show that for specific initial states, classical correlations exhibit abrupt changes along the dynamics. A particular sudden change occurs when the classical correlations freezes to a certain value at a given time, revealing the apparition of a pointer-state basis. After this given time, the decoherence only affects quantum correlations. Here we identify two regimes in the decoherence dynamics: a mixed regime when both classical and quantum correlations decay and a quantum regime when only quantum correlations decay. We show that the freezing of classical correlations can be stable or metastable depending on the system-reservoirs parameters. In the long-time limit, we find analytical expressions for the pointer-state basis the system settles in, and consequently for classical and quantum correlations.