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Journal of Experimental and Theoretical Physics Letters

Preparation of cluster states of four distant atoms by the interference of polarized photons

Y. Xia, H. S. Song

Published Nov 1, 2008• 0 citations
Publisher

Abstract

We propose a protocol to generate the cluster states of four A-type three-level atoms trapped in distant cavities by using the interference of polarized photons. The protocol uses the effects of the quantum statistics of indistinguishable photons emitted by the atoms inside optical cavities. This makes the protocol more realizable in experiments.

DOI
10.1134/s0021364008170104

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We propose a protocol to generate the cluster states of four A-type three-level atoms trapped in distant cavities by using the interference of polarized photons. The protocol uses the effects of the quantum statistics of indistinguishable photons emitted by the atoms inside optical cavities. This makes the protocol more realizable in experiments.
We suggest two schemes to generate the W state of N A-type three-level atoms. In the schemes, identical N three-level atoms are trapped in a cavity or N distant cavities. The success or failure of the generation of the W state can be determined by detecting the polarization of photon leaking out of the cavity. The result demonstrates that the W state is free from both the cavity loss and the spontaneous emission due to the fact that the two ground states (left and right) of the three-level atoms are stable states (or metastable states).
A scheme to generate the entanglement between two distant atoms by the interference of polarized photons is proposed. The model consists of two identical /spl Lambda/-type three-level atoms trapped in two distant optical cavities respectively. Each atom has a excited state |e> and two degenerate ground states |g/sub L/> and |g/sub R/>. The scheme is based on the interference effect where the coherent superposition of atomic states is generated in photon emission process. The scheme gives several advantages: (i) both atoms are excited simultaneously; (ii) the driving condition does not influence the fidelity of the final entangled states; and (iii) the influence of atomic recoil on the entanglement fidelity could be eliminated.
We propose a scheme to generate the entangled state of two Lambda-type three-level atoms trapped in distant cavities by using interference of polarized photons. Two possible spontaneous emission channels of each excited atom result in a coherent superposition of the states of two atoms. The subsequent detection of the different polarized photons reveals that both atoms are in different ground states, but an interference effect prevents us from distinguishing which atom is in which ground state; the atoms are thus entangled. In comparison with the original proposal of interference-induced entanglement [C. Cabrillo, J. Cirac, P. Garcia-Fernandez, and P. Zoller, Phys. Rev. A 59, 1025 (1999)]], in our scheme the weakly driven condition is not required, and the influence of atomic excitement and atomic recoil on the entanglement fidelity can be eliminated.