Abstract

In this paper, we study the geometric quantum discord dynamics of the double quantum dot charge qubit in the non-Markovian environment. We apply the non-perturbative non-Markovian quantum state diffusion method to obtain the exact master equation of the double quantum dot system coupled to two independent non-zero temperature electronic baths. Then, we use this master equation to investigate the effects of non-Markovianity, inter-dot coupling strength and bath temperature on the dynamics of geometric quantum discord. Our studies show that the geometric quantum discord of a double quantum dot system can be modified and enhanced in some cases via these factors.

Highlights

  • Quantum entanglement is one of the fundamental properties of quantum mechanics [1] and a core resource in the field of quantum information and quantum computing [2,3,4]

  • In this paper, using the non-perturbative non-Markovian quantum state diffusion (NMQSD) equation, we derived the exact master equation of the double quantum dot system coupled to two independent nonzero temperature electronic bath directly from the microscopic Hamiltonian

  • Based on the master equation, we carried out numerical simulations of non-Markovian dynamics of the double quantum dot charge qubit geometric quantum discord (GQD)

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Summary

Introduction

Quantum entanglement is one of the fundamental properties of quantum mechanics [1] and a core resource in the field of quantum information and quantum computing [2,3,4]. The present study of GQD in simple examples will help us to understand the non-Markovian behavior of GQD and will demonstrate the quantum correlation in double quantum dot systems can be manipulated with the help of non-Markovianity, inter-dot coupling and the fermionic bath temperature These results may be helpful in the fields of quantum information as far as the GQD in double quantum dot charge qubits is considered as a resource. The paper is organized as follows: In Sec. II, the model of a double quantum dot system coupled to two independent non-zero temperature electronic bath is introduced, and the formal exact master equation of the total system is derived using the fermionic NMQSD method.

System Model and Master Equation
Data Analysis and Discussion
Conclusion
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