Enhancing the Generated Stable Correlation in a Dissipative System of Two Coupled Qubits inside a Coherent Cavity via Their Dipole-Dipole Interplay.

Abdel-Baset A Mohamed,Mostafa Hashem,Hichem Eleuch

doi:10.3390/e21070672

Abstract

We explore the dissipative dynamics of two coupled qubits placed inside a coherent cavity-field under dipole-dipole interplay and 2-photon transitions. The generated non-classical correlations (NCCs) beyond entanglement are investigated via two measures based on the Hilbert-Schmidt norm. It is found that the robustness of the generated NCCs can be greatly enhanced by performing the intrinsic dissipation rate, dipole-dipole interplay rate, initial coherence intensity and the degree of the coherent state superpositions. The results show that the intrinsic decoherence stabilize the stationarity of the non-classical correlations while the dipole interplay rate boost them. The non-classical correlations can be frozen at their stationary correlations by increasing the intrinsic dissipation rate. Also NCCs, can be enhanced by increasing the initial coherent intensity.

Highlights

Non-classical correlations (NCCs) are a physical phenomenon and fundamental concept in quantum theory, they identify the quantum aspects of bipartite as well as multipartite systems.NCC has a critical role in setting the boundary between classical and quantum systems
We consider the model of two dipole coupled qubits placed inside a coherent cavity-field under the intrinsic dissipation rate and 2-photon transitions
The robustness of the generated non-classical correlations of the two qubits is investigated via different quantifiers against the intrinsic dissipation rate, dipole-dipole interplay, coherent intensity and the superposition of coherent states

Summary

Introduction

Non-classical correlations (NCCs) are a physical phenomenon and fundamental concept in quantum theory, they identify the quantum aspects of bipartite as well as multipartite systems. There are several approaches to study the dissipations in open quantum systems [37,38,39] They are responsible for the transition between the quantum and classical states. As far as we know, the effects of the intrinsic dissipation rate and dipole-dipole interplay have not been yet investigated for a two-qubit system prepared in a non-X state inside a cavity. Such studies are potentially important for the control of the quantum correlations in coupled qubits describing for example several atoms. 2-photon transitions and the intrinsic dissipation rate effects on the NCCs. The geometric quantum discord (GQD), the measurement-induced nonlocality and the concurrence are used as quantifiers.

Time Evolution of Qubits-Cavity Interaction

NCC Quantifiers

Dynamics of the Correlation Quantifiers

Conclusions