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Physical Review A

Dispersive atom-field interaction scheme for three-dimensional entanglement between two spatially separated atoms

Xin‐You Lü, Jibing Liu, Chunling Ding, J.-H. Li

Published Sep 3, 2008• 80 citations
Publisher

Abstract

We propose a scheme for deterministically generating three-dimensional (3D) entanglement between two distant five-level atoms based on the dispersive atom-field interaction. In our scheme, the two atoms are trapped separately in two spatially separated optical cavities coupled by an optical fiber. To check the experimental feasibility of our scheme, we numerically simulated effects of the atomic spontaneous decay and photon leakage out of the fiber, and the numerical simulation shows that those effects can be suppressed by appropriately choosing the frequency detuning of atom-field and the coupling intensity of cavity fiber, respectively. We also discussed the influence of photon leakage out of the cavities, and the strictly numerical simulation shows our proposal is good enough to demonstrate the generation of 3D entanglement with high fidelity and within the current experimental technology.

DOI
10.1103/physreva.78.032305

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We propose a scheme for deterministically generating three-dimensional (3D) entanglement between two distant five-level atoms based on the dispersive atom-field interaction. In our scheme, the two atoms are trapped separately in two spatially separated optical cavities coupled by an optical fiber. To check the experimental feasibility of our scheme, we numerically simulated effects of the atomic spontaneous decay and photon leakage out of the fiber, and the numerical simulation shows that those effects can be suppressed by appropriately choosing the frequency detuning of atom-field and the coupling intensity of cavity fiber, respectively. We also discussed the influence of photon leakage out of the cavities, and the strictly numerical simulation shows our proposal is good enough to demonstrate the generation of 3D entanglement with high fidelity and within the current experimental technology.
Based on the dispersive atom–field interaction, a scheme is proposed for deterministically generating entanglement between two Λ-type atoms, which are trapped individually in two spatially separated cavities coupled by an optical fibre. In the present scheme, it is found that the atomic spontaneous decay and photon leakage out of the fibre can be efficiently suppressed via choosing appropriately the frequency detuning of atom–field and the coupling intensity of cavity–fibre, respectively. The influence of photon leakage out of the cavities is also discussed, and the strictly numerical simulation shows that our proposal is good enough to demonstrate the generation of entanglement between two distant atoms with high fidelity.
Based on the quantum Zeno effect [B. Misra and E. C. G. Sudarshan, J. Math. Phys. 18, 756 (1977)], we propose a scheme to achieve three-dimensional (3D) entanglement between two distant five-level atoms. In our scheme, the two atoms are trapped individually in two spatially-separated double-mode cavities connected by an optical fiber. It is found that the effective quantum Zeno dynamics of the composite cavity-fiber-cavity coupled system gives rise to the deterministic creation of the 3D entangled state with high fidelity. Moreover, only one step operation is required to complete the generation of the 3D entangled state. The numerical simulations clearly show that the proposed scheme is robust against the deviation of the system parameters and insensitive to various decoherence factors, including atomic spontaneous emissions, cavity decays and fiber photon leakages. We justify our scheme by considering the experimental feasibility within the currently available technology.
We propose an adiabatic passage approach to generate two atoms three-dimensional entanglement with the help of quantum Zeno dynamics in a time-dependent interacting field. The atoms are trapped in two spatially separated cavities connected by a fiber, so that the individual addressing is needless. Because the scheme is based on the resonant interaction, the time required to generate entanglement is greatly shortened. Since the fields remain in vacuum state and all the atoms are in the ground states, the losses due to the excitation of photons and the spontaneous transition of atoms are suppressed efficiently compared with the dispersive protocols. Numerical simulation results show that the scheme is robust against the decoherences caused by the cavity decay and atomic spontaneous emission. Additionally, the scheme can be generalized to generate N-atom three-dimensional entanglement and high-dimensional entanglement for two spatially separated atoms.
A scheme is proposed for the fast generation of three-dimensional entanglement between two atoms trapped in two cavities connected by a fiber via invariant-based shortcut to an adiabatic passage. With the help of quantum Zeno dynamics, the invariant-based shortcut technique is applied to the generation of two-atom three-dimensional entanglement. The numerical simulation results show that the target state can be generated in a short time with high fidelity, and the scheme is robust against the decoherence caused by atomic spontaneous emission, photon leakage, and variations in the parameters. Moreover, it may be possible to implement the scheme with the current experimental technology.
We consider a system consisting of a $\ensuremath{\Lambda}$-type atom and a VVV-type atom, which are individually trapped in two spatially separated cavities that are connected by an optical fiber. We show that an extremely entangled state of the two atoms can be deterministically generated through both photon emission of the $\ensuremath{\Lambda}$-type atom and photon absorption of the VVV-type atom in an ideal situation. The influence of various decoherence processes such as spontaneous emission and photon loss on the fidelity of the entangled state is also investigated. We find that the effect of photon leakage out of the fiber on the fidelity can be greatly diminished in some special cases. In regard to the effect of spontaneous emission and photon loss from the cavities, we find that the present scheme with high fidelity may be realized under current experiment conditions. We also show that either the $\ensuremath{\Lambda}$- or VVV-type level configuration can be realized on the same atom by initializing the atomic state, and we show the present scheme is scalable.
A scheme is proposed for the deterministic generation of three-dimensional entanglement of two distant atoms separately trapped in two optical cavities connected by an optical fiber. Employing adiabatic passage along dark states, the atoms are always in ground states, in particular, the fiber mode remains in the vacuum state due to the quantum destructive interference, and the population of the cavities being excited can be negligible under certain conditions. In this sense, our scheme constructs an effective way to avoid the atomic spontaneous emission and the decays of fiber and cavities.