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Scientific Reports

Correlation dynamics of nitrogen vacancy centers located in crystal cavities

Abdel‐Haleem Abdel‐Aty, Heba Kadry, A.‐B. A. Mohamed, Hichem Eleuch

Published Oct 6, 2020• 25 citations
Publisher

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.

DOI
10.1038/s41598-020-73697-7

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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.
We investigate dynamics of a laser-driven and dissipative system consisting of two nitrogen-vacancy (N-VVV) centers embedded in two spatially separated single-mode nanocavities in a planar photonic crystal (PC). Spontaneous emission from the excited states of the N-VVV centers can be effectively suppressed by virtue of the Raman transition in the dispersive regime. The system displays a series of damped oscillations under various experimental situations, where we solve the time-dependent Schr\"odinger equation analytically for arbitrary values of the hopping and PC--N-VVV coupling strengths. In particular, our results indicate that some special values should be taken for the hopping strength if we hope to have high-fidelity quantum state transfer between the two distant N-VVV centers. We have also analyzed the relevant entanglement dynamics in the presence of decoherence. The experimental feasibility and challenge are justified using currently available technology.
We explore the entanglement generation and the corresponding dynamics between two separate nitrogen-vacancy (NV) centers in diamond nanocrystal coupled to a photonic molecule consisting of a pair of coupled photonic crystal (PC) cavities. By calculating the entanglement concurrence with readily available experimental parameters, it is found that the entanglement degree strongly depends on the cavity-cavity hopping strength and the NV-center-cavity detuning. High concurrence peak and long-lived entanglement plateau can be achieved by properly adjusting practical system parameters. Meanwhile, we also discuss the influence of the coupling strength between the NV centers and the cavity modes on the behavior of the concurrence. Such a PC-NV system can be employed for quantum entanglement generation and represents a building block for an integrated nanophotonic network in a solid-state cavity quantum electrodynamics platform. In addition, the present theory can also be applied to other similar systems, such as two single quantum emitters positioned close to a microtoroidal resonator with the whispering-gallery-mode fields propagating inside the resonator.
We investigate the non-Markovian dynamics of quantum correlation between two initially entangled nitrogen-vacancy centers (NVCs) embedded in photonic-crystal cavities (PCCs). We find that a finite quantum correlation is preserved even asymptotically when the transition frequency of the NVC is within the band gap of the PCC, which is quantitatively different from the result of approaching zero under the Born-Markovian approximation. In addition, once the transition frequency of NVC is far beyond the band gap of the PCC, the quantum correlation initially prepared in NVC will be fully transferred to the reservoirs in the long-time limit. Our result reveals that the interplay between the non-Markovian effect of the structured reservoirs and the existence of emitter-field bound state plays an essential role in such quantum correlation preservation. This feature may open new perspectives for devising active decoherence-immune solid-state optical devices.
In this paper, we investigate the dynamics of quantum memory-assisted entropic uncertainty, uncertainty-induced nonlocality and log-negativity entanglement of two nitrogen-vacancy centers (NVC). In particular, we are interested in analyzing two nitrogen-vacancy centered qubits coupled with two coherent nanocavities. We consider two different configurations of NVC qubits: when the qubits are prepared initially in separable and maximally entangled states. We demonstrate that coherent nanocavities can be successfully used to generate nonlocality and entanglement in the two NVC qubits while suppressing the associated entropic uncertainty. When the system is considered initially in separable two-NVC qubits, we show that the coupled coherent nanocavities successfully generate nonlocality and entanglement while avoiding the associated entropic uncertainty. The parameter’s adjustment determines the degree of entanglement, non-locality generation, and preservation. In comparison, we find entanglement more vulnerable to the decoherence and entropic uncertainty action between the two NVC qubits and nanocavities than the uncertainty-induced nonlocality. Furthermore, the NVC-qubits coupled with two coherent nanocavities promote entanglement’s sudden birth and death phenomena. This study contributes to the quantum mechanical protocols requiring the robust practical generation of entanglement and nonlocality as well as the related information preservation for the increased efficiency of quantum devices.
Abstract The paper investigates the dynamics of the quantum interferometric power and Local quantum uncertainty coherences beyond concurrence entanglement between two Nitrogen-Vacancy centers (NVCs) induced by two coupled dissipative nanocavities. A particular engineering design is considered, where each nanocavity contains a coherently driven N-V center and the two nanocavities are initially in a maximally correlated state with different initial two-NVC states. It is found that, for the initial uncorrelated two-NVC state, the generated two-NVC coherence and the entanglement due to the NVC-nanocavity interactions can be enhanced by the increase of the Nitrogen-Vacancy center’s couplings. The cavity dissipations enhance the generation of Fisher and skew information quantumness of the two-NVC state, and accelerate the reduction of the concurrence entanglement. For the initial maximally correlated two-NVC state, the robustness of the two-NVC coherence and the entanglement against the NVC-nanocavity interactions and the dissipation can be enhanced by the two-nanocavity coupling and the two NVC-qubits couplings.
We explore the bipartite non-classical correlations of two quantum wells coupled to two spatially separated microcavities. The microcavities are filled by linear optical media and linked by a single-mode optical fiber. We prove that it is possible to generate a correlation from the initially uncorrelated state. With particular coupling constants of the cavity-exciton and the fiber-cavity coupling, the maximum correlations can be generated periodically, and sudden changes occur only in the local quantum uncertainty. The optical susceptibility and coupling constants control the regularity, amplitudes, and frequencies of the correlation functions. When the system initially starts with a maximally correlated state, we show that the correlation robustness of the Wigner-Yanase skew information and Bell’s inequality depends not only on the coupling strengths and optical susceptibility but also on the dissipation rates. Deterioration of the correlations is substantially associated with the dissipation.