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Physical Review A

Achieving multipartite entanglement of distant atoms through selective photon emission and absorption processes

Xin‐You Lü, Liu-Gang Si, Xiangying Hao, Xiaoxue Yang

Published May 21, 2009• 44 citations
Publisher

Abstract

We propose two schemes for deterministically generating three-partite Greenberger-Horne-Zeilinger (GHZ) and $W$ states of distant atoms based on the selective photon emission and absorption processes. In our schemes, it is found that the effects of atomic spontaneous decay and photon leakage out of fiber are suppressed effectively due to the presences of dispersive atom-field interaction and strong cavity-fiber coupling intensity. To check the experimental feasibility of our schemes, we also numerically simulated the effects of photon leakage out of the cavities, and the numerical simulation shows that our proposal is good enough to demonstrate the generation of three-partite GHZ and $W$ states of distant atoms with high fidelity. In addition, the present schemes can also be generalized to prepare N-partite $W$ state of distant atoms.

DOI
10.1103/physreva.79.052330

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We propose two schemes for deterministically generating three-partite Greenberger-Horne-Zeilinger (GHZ) and WWW states of distant atoms based on the selective photon emission and absorption processes. In our schemes, it is found that the effects of atomic spontaneous decay and photon leakage out of fiber are suppressed effectively due to the presences of dispersive atom-field interaction and strong cavity-fiber coupling intensity. To check the experimental feasibility of our schemes, we also numerically simulated the effects of photon leakage out of the cavities, and the numerical simulation shows that our proposal is good enough to demonstrate the generation of three-partite GHZ and WWW states of distant atoms with high fidelity. In addition, the present schemes can also be generalized to prepare N-partite WWW state of distant atoms.
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.
We propose two schemes for generating Greenberger-Horne-Zeilinger and W states of three distant atoms. In the present schemes, the atoms are individually trapped in three spatially separated optical cavities coupled by two optical fibres. Performing an adiabatic passage along dark states, the population of cavities and fibres excited is negligible under certain conditions. In addition, the spontaneous decay of atoms is also efficiently suppressed based on our proposals. Furthermore, the discussion about the entanglement fidelity is given and we point out that our schemes work robustly with small fluctuations of experimental parameters.
We propose a scheme for generating an entangled state for three atoms trapped in separate optical cavities that are coupled to each other through two optical fibers based on coherent driving and dissipation, which are induced by the classical fields and the decay of non-local bosonic modes, respectively. In our scheme, the interaction time need not be controlled strictly in the overall dynamics process, and the cavity field decay can be changed into a vital resource. The numerical simulation shows that the fidelity of the target state is insensitive to atomic spontaneous emission, and our scheme is good enough to generate the W state of distant atoms with a high fidelity and purity. In addition, the present scheme can also be generalized to prepare the N -partite W state of distant atoms.
A selective photon scheme is proposed to realize an N-qubit Greenberger–Horne–Zeilinger (GHZ) state with distant atoms trapped in spatially separated bimodal cavities coupled by optical fibres. The influence of deviations of some experimental parameters on our scheme is studied exactly and we prove that a highly reliable GHZ state is achievable. Moreover, we analyse the independence of fidelity on decoherence processes, such as atomic spontaneous emission, cavity decay and fibre losses. The results show that atomic spontaneous emission and fibre losses can be ignored in some special cases. With regards to the cavity decay, it indicates that a GHZ state with high fidelity may be realized in the current experiment.
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.
Schemes to generate Greenberger-Horne-Zeilinger (GHZ) and WWW states of three distant atoms are proposed in this paper. The schemes use the effects of quantum statistics of indistinguishable photons emitted by the atoms inside optical cavities. The advantages of the schemes are their robustness against detection inefficiency and asynchronous emission of the photons. Moreover, in Lamb-Dicke limit, the schemes do not require the simultaneous click of the detectors. This makes the schemes more realizable in experiments.