Information Entropy of Two Cooper Pair Boxes Interacting with an Environment

TL;DR

This paper investigates how the information entropy of two coupled superconducting qubits evolves over time when interacting with an environment, revealing conditions for maximum entropy and sudden correlation loss.

Contribution

It provides a detailed analysis of the entropy dynamics of two qubits in a superconducting model, highlighting the effects of system parameters and environment interaction.

Findings

Maximum mutual entropy occurs at long interaction times with initial mixed states.

Total correlation can abruptly drop to zero due to environmental influence.

Certain two-qubit states exhibit rich dynamical behavior near energy degeneracy.

Abstract

Adopting the framework of two-coupled superconducting charges model, we discussed the information entropy of two qubits initially prepared in a mixed state and allowed to interact with their environment. The impact of the different parameters of the system is explicitly investigated. Present calculations show that strong mutual entropy is obtained for a long interaction time when the two qubits are initially in a mixed state with the environment switched off. We have identified a class of two-qubit states that have a rich dynamics when the deviation between the characteristic energies of the quabits becomes minimum. It was found that the total correlation decreases abruptly to zero in a finite time due to the influence of the strong environment.