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arXiv:0907.5550 · Physical Review A

Deterministically entangling distant nitrogen-vacancy centers by a nanomechanical cantilever

Zhen Xu, Yong Hu, W. L. Yang, Mang Feng, Jiangfeng Du

Published Aug 26, 2009• 55 citations
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Abstract

We present a practical scheme by global addressing to deterministically entangle negatively charged nitrogen-vacancy $(\text{N-}V)$ centers in distant diamonds using a nanomechanical cantilever with the magnetic tips strongly coupled to the $\text{N-}V$ electron spins. Symmetric Dicke states are generated as an example, and the experimental feasibility and challenge of our scheme are discussed.

DOI
10.1103/physreva.80.022335

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We present a practical scheme by global addressing to deterministically entangle negatively charged nitrogen-vacancy (N-V)(\text{N-}V)(N-V) centers in distant diamonds using a nanomechanical cantilever with the magnetic tips strongly coupled to the N-V\text{N-}VN-V electron spins. Symmetric Dicke states are generated as an example, and the experimental feasibility and challenge of our scheme are discussed.
We propose a potentially practical scheme to entangle negatively charged nitrogen-vacancy (N-VVV) centers in distant diamonds. Each diamond is supposed to be fixed on the exterior surface of a microtoroidal resonator, and the single-photon input-output process---a currently available technique---could entangle separate N-VVV centers in a scalable fashion. The feasibility of our scheme and the experimental challenge are discussed by considering currently available techniques for qualified N-VVV centers and cavities.
We present a potential scheme to entangle negatively charged nitrogen-vacancy (N-VVV) centers in distance using nanomechanical resonators (NAMRs) and a common superconducting quantum interference device (SQUID). By virtually exciting the vibrational modes of the NAMRs, we show the effective coupling between the N-VVV centers and the SQUID, which is a promising step toward large-sized quantum-information processing with separate N-VVV centers.
Abstract In this paper we study the time evolution of the entanglement between two remote NV Centers (nitrogen vacancy in diamond) connected by a dual-mode nanomechanical resonator with magnetic tips on both sides. Calculating the negativity as a measure for the entanglement, we find that the entanglement between two spins oscillates with time and can be manipulated by varying the parameters of the system. We observed the phenomenon of a sudden death and the periodic revivals of entanglement in time. For the study of quantum decoherence, we implement a Lindblad master equation. In spite of its complexity, the model is analytically solvable under fairly reasonable assumptions, and shows that the decoherence influences the entanglement, the sudden death, and the revivals in time.
We propose a scheme enabling controlled quantum coherent interactions between separated nitrogen-vacancy centers in diamond in the presence of strong magnetic fluctuations. The proposed scheme couples nuclear qubits employing the magnetic dipole-dipole interaction between the electron spins and, crucially, benefits from the suppression of the effect of environmental magnetic field fluctuations thanks to a strong microwave driving. This scheme provides a basic building block for a full-scale quantum-information processor or quantum simulator based on solid-state technology.
Nitrogen-vacancy centers in diamond, being a promising candidate for quantum information processing, may also be an ideal platform for simulating many-body physics. However, it is difficult to realize interactions between nitrogen-vacancy centers strong enough to form a macroscopically ordered phase under realistic temperatures. Here we propose a scheme to realize long-range ferromagnetic Ising interactions between distant nitrogen-vacancy centers by using a mechanical resonator as a medium. Since the critical temperature in the long-range Ising model is proportional to the number of spins, a ferromagnetic order can be formed at a temperature of tens of millikelvin for a sample with ∼ 10 4 nitrogen-vacancy centers. This method may provide a new platform for studying many-body physics using qubit systems.
We consider a cantilever mechanical oscillator(MO) made of diamond. There is a nitrogen-vacancy(NV) center at the end of the cantilever. Two magnetic tips induce strong second order magnetic field gradient near the NV center. Under a coherent driving on MO, we find that the coupling between the MO and the NV center can be greatly enhanced. We studied how to realize quantum state transfer between MO and NV center and generate entanglement between them. We also proposed a scheme to generate the two-mode squeezing between different MO modes by coupling them to the same NV center. The decoherence and dissipation effects for both MO and NV center are numerically calculated by taking the present experimental parameters. It is found that high fidelity quantum state transfer, entanglement generation, and large two-mode squeezing could be achieved.