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Journal of Modern Optics

Realization of atomic Greenberger-Horne-Zeilinger states via cavity quantum electrodynamics

E. S. Guerra, J. C. Retamal

Published Feb 1, 1999• 9 citations
Publisher

Abstract

In this work we propose a scheme in which it is possible to generate atomic Greenberger—Horner—Zeilinger (GHZ) states by letting three-level atoms in a lambda configuration interact with a cavity field followed by a displacement of the cavity field and selective measurements on two-level atoms which disentangle the atoms and field states. We also propose a GHZ test based on such states.

DOI
10.1080/09500349908231272

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In this work we propose a scheme in which it is possible to generate atomic Greenberger—Horner—Zeilinger (GHZ) states by letting three-level atoms in a lambda configuration interact with a cavity field followed by a displacement of the cavity field and selective measurements on two-level atoms which disentangle the atoms and field states. We also propose a GHZ test based on such states.
We propose two schemes to one-step generate the three-particle Greenberger–Horne–Zeilinger state based on the resonant atom–cavity fields interaction. The whole process may be realized experimentally providing that simple apparatus, initial conditions, and some manipulation in principle are achieved. Finally, in the current or the near future experiment parameter, we show that the proposed schemes can maintain the state with high fidelity under the condition of atomic spontaneous emission and decay of cavity fields.
A proposal is made for obtaining a mesoscopic realization of the Greenberger-Horne-Zeilinger (GHZ) "all or nothing" contradiction between quantum mechanics and local realism in the context of cavity QED. The proposed experiment involves three separated micromaser cavities, each initially prepared in a coherent state, which are then entangled by dispersive atom-field interactions followed by selective ionization of a single atom that has passed through all three cavities. The cavities are then probed individually by single atoms manipulated to obtain a measurement of the parity of the cavity fields. Using an isomorphism between coherent-state cavity fields and a spin-\textonehalf{} system, we show how this experiment gives rise to violations of local realism in the manner of GHZ.
A scheme is proposed for generating maximally entangled Greenberger-Horne-Zeilinger (GHZ) atomic states for testing quantum nonlocality. In the scheme, three atoms are simultaneously sent through a nonresonant cavity in a vacuum state. They are initially in the same state, and thus there is no energy exchange in the process. The cavity-assisted collision results in a phase-shift which depends upon the collective atomic excitations. In principle, the scheme can be generalized to generate N-atom GHZ states. The scheme is insensitive to cavity decay and requires only one cavity, providing new prospects for testing fundamental aspects of quantum mechanics and for quantum information processing.
We present a scheme to entangle fields in multiple cavities. Our scheme is based on the resonant interaction of a Ξ-type three-level atom with the cavity fields for precalculated interaction time, which enables us to generate a quantum entangled Greenberger–Horn–Zeilinger (GHZ) state of fields in multiple cavities. In principle, the scheme can be also generalized to generate N -party GHZ state. The required experimental techniques are within the scope of what can be obtained in the microwave cavity QED set up.