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Communications in Theoretical Physics

Scheme for Entanglement Generation of Two Atoms in Two Bad Cavities

Zhang Li-hua, Zhuo‐Liang Cao

Published Mar 1, 2008• 0 citations
Publisher

Abstract

We present a scheme for generation of two-atomic entangled state by using the interference of polarized photons. The scheme does not require complete mapping between the atomic state and the photonic state, nor does it require the establishment of maximal entanglement between the atom and the cavity. And the atom-cavity coupling strength is smaller than the cavity decay rate. This greatly relaxes the requirement on the cavity quality. The scheme is for non-post-selection results and all the steps of the scheme are within the current technologies.

DOI
10.1088/0253-6102/49/3/15

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We present a scheme for generation of two-atomic entangled state by using the interference of polarized photons. The scheme does not require complete mapping between the atomic state and the photonic state, nor does it require the establishment of maximal entanglement between the atom and the cavity. And the atom-cavity coupling strength is smaller than the cavity decay rate. This greatly relaxes the requirement on the cavity quality. The scheme is for non-post-selection results and all the steps of the scheme are within the current technologies.
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A scheme is proposed for the generation of W entangled states for several atoms trapped in a cavity by detecting photon decay. The scheme works in the regime, where the cavity decay rate is larger than the atom-cavity coupling strength. Thus, the requirement for the quality factor of the cavity is greatly loosened, which is of importance in view of experiment. Another advantage of this scheme is that the atoms are always populated in two ground states coupled by Raman transitions, thus the spontaneous emission can also be suppressed.
A relatively simple scheme for generating maximally entangled photon-photon and atom-photon states via entanglement swapping using techniques of cavity QED is proposed.The scheme of preparing the maximally entangled photon-photon state does not require the transfer of quantum information between the atoms and cavity.In the scheme the cavity is only virtually excited and thus the requirement on the quality factor of the cavity is greatly loosened.The scheme of preparing the maximally entangled atom-photon state based on the two-photon JaynesCummings model only requires detecting the state of the single atom rather than a joint-Bell measurement.
Based on the interference effect of polarized photons, we propose a practical scheme for entanglement concentration of unknown atomic entangled states. In the scheme, two λλ-type atoms belonging to different entangled pairs are individually trapped in two spatially separated cavities. By the subsequent detection of the polarized photons leaking out of the separate optical cavities, Alice and Bob as two distant parties can probabilistically extract one maximally entangled four-atom Greenberger–Horne–Zeilinger (GHZ) state from two identical partially entangled Einstein–Podolsky–Rosen (EPR) pairs. We also discuss the influence of cavity decay on the success probability of the scheme. The scheme is feasible and within the reach of current experimental technology.