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Chemical Physics Letters

Enhanced entanglement of two atoms confined in a multi-mode optical cavity

Takashi Taneichi, Takayoshi Kobayashi

Published Sep 1, 2003• 3 citations
Publisher
DOI
10.1016/s0009-2614(03)01330-7

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A numerical calculation of entanglement dynamics between two nonresonant atoms interacting with a multimode optical cavity field has shown that the field enhances the degree of entanglement between the two atoms. Using the position of one atom of the pair as a controlling parameter, entanglement dynamics is analyzed in terms of the entanglement of formation, making a comparison with the dynamics in a single-mode cavity field. It is shown that the degree of entanglement of the present system is enhanced by the usage of multimode cavity and by positioning the atom closely at the node of the field mode.
Abstract We report the control of the dressed state in three-mode optical entanglement in an N-type four-level system using two cascaded parametric amplification four-wave mixing steps inside an atom-like optical cavity and injected by thermal optical fields: a coherent field and the Einstein–Podolsky–Rosen field. First, cavity dressing results in Aulter–Towns-like (AT-like peak) anti-squeezing. And the three-cavity dressing interaction induces multi-AT-like peaks. Meanwhile, the cavity enhanced nonlinear gain results in one squeezing dip polariton. In addition, the coupling of three enhanced nonlinear gains brings about multi-dip squeezing. Second, as two nonlinear coefficients change, the nonlinear phase makes the squeezing profile (in phase, amplification) turn into an anti-squeezing profile due to nonlinear loss (out of phase, de-amplification). Finally, the squeezing profile can also be modified by field dressing (AT splitting, enhancement and suppression), and the squeezing degree is affected by injection fields. Thus, by judging the squeezing of three nonseparability criteria, we get three-mode optical entanglement.
When a coherently prepared atomic medium is confined in an optical cavity, the atomic coherence and interference manifested by electromagnetically induced transparency (EIT) can be manipulated and enhanced by the collective atom–cavity coupling and the cavity feedback. We present an experimental study of the light transmission through an optical cavity coupled with coherently prepared cold Rb atoms. In the frequency domain, the cavity transmission spectrum exhibits spectral peaks representing the cavity normal modes associated with the multi-atom vacuum Rabi splitting and the intra-cavity dark state manifested by the combined EIT effects of the absorption suppression and the steep normal dispersion. In the time domain, a light pulse coupled into the cavity mode propagates with a slow group velocity and the propagation time delay is significantly increased by the cavity feedback.