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Communications in Theoretical Physics

Engineering Multi-atom Entangled States via Cavity Decay

Zheng Shi-Biao

Published Apr 1, 2007• 0 citations
Publisher

Abstract

A scheme is proposed for the generation of entangled states for multiple atoms trapped in a cavity by detecting photon decay. The scheme is valid no matter when the effective atom-cavity coupling strength is larger than the cavity decay rate or not, which is of importance in view of experiment. The fidelity of entanglement is insensitive to the inefficiency of the photo-detector. The scheme does not require a photon to be initially injected into the cavity.

DOI
10.1088/0253-6102/47/4/032

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A scheme is proposed for the generation of entangled states for multiple atoms trapped in a cavity by detecting photon decay. The scheme is valid no matter when the effective atom-cavity coupling strength is larger than the cavity decay rate or not, which is of importance in view of experiment. The fidelity of entanglement is insensitive to the inefficiency of the photo-detector. The scheme does not require a photon to be initially injected into the cavity.
A scheme is presented for generating entangled states of multiple atoms in a cavity. In the scheme the atoms simultaneously interact with a cavity mode, with the first atom driven by two classical fields and the other atoms driven by a classical field. Our scheme is valid even if the cavity decay rate is larger than the effective coupling strength, which is important for experiment. The generation of entangled states is conditional on the detection of a photon decaying from the cavity and thus the fidelity of the entangled state is insensitive to the detection inefficiency. Furthermore, the scheme can be applied to the case with any number of atoms in principle.
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 scheme is presented for generation of entangled states for two atoms trapped in two distant bad cavities. The scheme can work with bad cavities with the coupling strength smaller than the cavity decay rate, which is important from the viewpoint of experiment. In the scheme the atoms have no probability of being populated in the excited state and thus the atomic spontaneous emission is suppressed, which increases the probability of success. The fidelity of the entangled state is not affected by the detection efficiency. Furthermore, the scheme does not require the detection of the left-polarized photon and right-polarized photon at the same time.
We give the detailed study of a scheme to efficiently engineer multi-atom entanglement by detecting the cavity decay through single-photon detectors. The scheme can be used to prepare arbitrary superpositions of multi-atom Dicke states, without the requirements of high-efficiency detection, separate addressing of different atoms, and full localization of the atoms to the Lamb-Dicke limit. We analyze in detail various sources of noise and imperfections in this experimental scheme, and show that the scheme is robust to the dominant sources of noise and realizable with the state of the art technology.