# Quantum Correlation Dynamics for an Open Multi Qutrit System

## TL;DR

This paper investigates how quantum correlations like entanglement and discord evolve in an open system of multiple qutrits initially in a decoherence-free subspace, revealing steady-state behaviors as the system size varies.

## Contribution

It introduces a detailed analysis of correlation dynamics in multi-qutrit systems interacting with an environment, focusing on steady-state distributions of quantum correlations.

## Key findings

- Quantum entanglement and discord are induced by the environment.
- Steady-state distributions depend on the number of qutrits.
- Correlation measures are calculated for arbitrary system sizes.

## Abstract

We study the correlation dynamics of a system composed of arbitrary numbers of qutrits interacting with a common environment. Initially, the system is assumed to be in a low dimensional subspace of the Hamiltonian called "decoherence-free subspace". Environment induced quantum entanglement and discord is calculated between pair of qutrits of the system as measures of non-classical correlations. Finally the steady state distribution of entanglement and discord is determined with respect to the total number of qutrits of the system.