Quantum synchronization and correlations of two qutrits in a non-Markovian bath

TL;DR

This paper explores how two non-interacting qutrits can synchronize through a shared non-Markovian environment, revealing effects of temperature, coupling, and dissipation on quantum correlations without relying on common approximations.

Contribution

It provides a detailed analysis of quantum synchronization and correlations of two qutrits in a non-Markovian bath without using Markovian, Born, or rotating wave approximations.

Findings

Synchronization occurs via a common bath without direct interaction.

Dephasing prevents synchronization in a shared bath.

Decreasing bath correlation time broadens the Arnold tongue.

Abstract

We investigate quantum synchronization and correlations of two qutrits in one non-Markovian environment using the hierarchy equation method. There is no direct interaction between two qutrits and each qutrit interacts with the same non-Markovian environment. The influence of the temperature of the bath, correlation time, and coupling strength between qutrits and bath on the quantum synchronzation and correlations of two qutrits are studied without the Markovian, Born, and rotating wave approximations. We also discuss the influence of dissipation and dephasing on the synchronization of two qutrits. In the presence of dissipation, the phase locking between two qutrits without any direct interaction can be achieved when each qutrit interacts with the common bath. Two qutrits within one common bath can not be syncrhonized in the purely dephasing case. In addition, the Arnold tongue can be significantly broadened by decreasing the correlation time of two qutrits and bath.