Correlation dynamics of nitrogen vacancy centers located in crystal cavities

Abdel-Haleem Abdel-Aty; Heba Kadry; A -B A Mohamed; Hichem Eleuch

doi:10.1038/s41598-020-73697-7

Correlation dynamics of nitrogen vacancy centers located in crystal cavities

Sci Rep. 2020 Oct 6;10(1):16640. doi: 10.1038/s41598-020-73697-7.

Authors

Abdel-Haleem Abdel-Aty^{1

2}, Heba Kadry³, A -B A Mohamed^{4

5}, Hichem Eleuch^{6

7

8}

Affiliations

¹ Department of Physics, College of Sciences, University of Bisha, P.O. Box 344, Bisha, 61922, Saudi Arabia. amabdelaty@ub.edu.sa.
² Physics Department, Faculty of Science, Al-Azhar University, Assiut, 71524, Egypt. amabdelaty@ub.edu.sa.
³ Department of Mathematics and Computer Science, Faculty of Science, Sohag University, Sohag, Egypt.
⁴ Department of Mathematics, College of Science and Humanities in Al-Aflaj, Prince Sattam bin Abdulaziz University, Al-Aflaj, 710-11912, Saudi Arabia.
⁵ Department of Mathematics, Faculty of Science, Assiut University, Assiut, Egypt.
⁶ Department of Applied Physics and Astronomy, University of Sharjah, Sharjah, United Arab Emirates.
⁷ Department of Applied Science and Mathematics, College of Arts and Sciences, Abu Dhabi University, Abu Dhabi, United Arab Emirates.
⁸ Institute for Quantum Science and Engineering, Texas A&M University, College Station, TX, 77843, USA.

Abstract

In this contribution, we investigate the bipartite non-classical correlations (NCCs) of a system formed by two nitrogen-vacancy (N-V) centers placed in two spatially separated single-mode nanocavities inside a planar photonic crystal (PC). The physical system is mathematically modeled by time-dependent Schrödinger equation and analytically solved. The bipartite correlations of the two N-V centers and the two-mode cavity have been analyzed by skew information, log-negativity, and Bell function quantifiers. We explore the effects of the coupling strength between the N-V-centers and the cavity fields as well as the cavity-cavity hopping constant and the decay rate on the generated correlation dynamics. Under some specific parameter values, a large amount of quantum correlations is obtained. This shows the possibility to control the dynamics of the correlations for the NV-centers and the cavity fields.