Dissipation and entanglement dynamics for two interacting qubits coupled to independent reservoirs

TL;DR

This paper derives a master equation for two interacting qubits coupled to independent reservoirs, revealing their stationary states and entanglement dynamics, including phenomena like sudden death and birth, relevant for quantum technologies.

Contribution

The work presents a new derivation of the master equation considering qubit interactions with independent baths, highlighting entanglement behavior and stationary states at various temperatures.

Findings

Stationary states depend on temperature and system parameters.

Entanglement exhibits sudden death and birth phenomena.

Stationary entanglement persists at long times.

Abstract

We derive the master equation of a system of two coupled qubits by taking into account their interaction with two independent bosonic baths. Important features of the dynamics are brought to light, such as the structure of the stationary state at general temperatures and the behaviour of the entanglement at zero temperature, showing the phenomena of sudden death and sudden birth as well as the presence of stationary entanglement for long times. The model here presented is quite versatile and can be of interest in the study of both Josephson junction architectures and cavity-QED.