Researching | Multipartite entanglement generation with dipole induced transparency effect in indirectly coupled dipole-microcavity systems

Journals >Chinese Optics Letters >Volume 16 >Issue 8 >Page 082702 > Article

Chinese Optics Letters
Vol. 16, Issue 8, 082702 (2018)

Multipartite entanglement generation with dipole induced transparency effect in indirectly coupled dipole-microcavity systems

Zhaohui Peng^1、*, Chunxia Jia^1、2, Yuqing Zhang¹, Zhonghua Zhu¹, and Xiaojuan Liu¹

Author Affiliations

¹Institute of Modern Physics and Department of Physics, Hunan University of Science and Technology, Xiangtan 411201, China

²Key Laboratory of Low-Dimensional Quantum Structures and Quantum Control of Ministry of Education, Department of Physics, Hunan Normal University, Changsha 410081, China

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DOI: 10.3788/COL201816.082702 Cite this Article Set citation alerts

Zhaohui Peng, Chunxia Jia, Yuqing Zhang, Zhonghua Zhu, Xiaojuan Liu. Multipartite entanglement generation with dipole induced transparency effect in indirectly coupled dipole-microcavity systems[J]. Chinese Optics Letters, 2018, 16(8): 082702 Copy Citation Text

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Abstract

We propose a feasible scheme of generating multipartite entanglement with the dipole induced transparency (DIT) effect in indirectly coupled dipole-microcavity systems. It is shown that the transmission spectrum is closely related with the interference of dipole-microcavity systems, and we can generate different classes of multipartite entanglement, e.g., the Greenberger–Horne–Zeilinger state, the W state, and the Dicke state, of the dipole emitters just by choosing an appropriate frequency of the incident photon. Benefiting from the DIT effect, the schemes may work in the bad or low-Q cavity regime only if the large Purcell factor of the dipole-microcavity system is fulfilled, and they are also insensitive to experimental noise, which may be feasible with present accessible technology.

\frac{d a_{i} (t)}{d t} = - i (ω_{i} - ω_{p}) a_{i} (t) - \frac{κ_{1} + κ_{2} + κ_{0}}{2} a_{i} (t) - g_{i} σ_{i -} (t) - \sqrt{κ_{1}} a_{i, in} (t) - \sqrt{κ_{2}} e^{i ϕ_{i}} a_{i + 1, out} (t),

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\frac{d σ_{i -} (t)}{d t} = - i (ω_{a i} - ω_{p}) σ_{i -} (t) - \frac{γ_{a i}}{2} σ_{i -} (t) - g_{i} a_{i} (t) σ_{i z} (t) + \sqrt{γ_{a i}} σ_{i z} (t) b_{i, in} (t),

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D = | \begin{matrix} i Δ_{1}^{'} - κ / 2 & - κ_{2} & - κ_{2} \\ - κ_{1} & i Δ_{2}^{'} - κ / 2 & - κ_{2} \\ - κ_{1} & - κ_{1} & i Δ_{3}^{'} - κ / 2 \end{matrix} |,

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T = \frac{a_{4, in} (t)}{a_{1, in} (t)} = {[1 - κ_{1} \sum_{i = 1}^{3} {(i Δ_{i}^{'} - κ_{0} / 2)}^{- 1}]}^{- 1},

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R = \frac{a_{1, out} (t)}{a_{1, in} (t)} = \frac{κ_{1} \sum_{i = 1}^{3} {(i Δ_{i}^{'} - κ_{0} / 2)}^{- 1}}{1 - κ_{1} \sum_{i = 1}^{3} {(i Δ_{i}^{'} - κ_{0} / 2)}^{- 1}} .

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\frac{1}{4} | 1 〉 {(| + 〉}_{p} | {GHZ}^{+} 〉 + | - 〉_{p} | {GHZ}^{-} 〉) - \frac{\sqrt{6}}{4} | + 〉_{p} | 2 〉 | D_{3, 1} 〉 - \frac{1}{4} | 2 〉 {(| + 〉}_{p} | {GHZ}^{+} 〉 - | - 〉_{p} | {GHZ}^{-} 〉) - \frac{\sqrt{6}}{4} | + 〉_{p} | 2 〉 | D_{3, 2} 〉,

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| \pm 〉_{p} = \frac{1}{\sqrt{2}} (| L 〉 \pm | R 〉), | {GHZ}^{\pm} 〉 = \frac{1}{\sqrt{2}} (| g_{L}^{1} 〉 | g_{L}^{2} 〉 | g_{L}^{3} 〉 \pm | g_{R}^{1} 〉 | g_{R}^{2} 〉 | g_{R}^{3} 〉), | D_{3, 1} 〉 = \frac{1}{\sqrt{3}} (| g_{L}^{1} 〉 | g_{L}^{2} 〉 | g_{R}^{3} 〉 + | g_{L}^{1} 〉 | g_{R}^{2} 〉 | g_{L}^{3} 〉 + | g_{R}^{1} 〉 | g_{L}^{2} 〉 | g_{L}^{3} 〉), | D_{3, 2} 〉 = \frac{1}{\sqrt{3}} (| g_{L}^{1} 〉 | g_{R}^{2} 〉 | g_{R}^{3} 〉 + | g_{R}^{1} 〉 | g_{L}^{2} 〉 | g_{R}^{3} 〉 + | g_{R}^{1} 〉 | g_{R}^{2} 〉 | g_{L}^{3} 〉) .

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\begin{array}{l} {| L 〉}_{p} (\frac{\sqrt{6}}{4} | 1 〉 | D_{3, 1} 〉 + \frac{\sqrt{6}}{4} | 2 〉 | D_{3, 2} 〉 + \frac{1}{2} | 2 〉 | {GHZ}^{+} 〉) . \end{array}

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\begin{array}{l} {| L 〉}_{p} (\frac{\sqrt{6}}{4} | 1 〉 | D_{3, 2} 〉 + \frac{\sqrt{6}}{4} | 2 〉 | D_{3, 1} 〉 + \frac{1}{2} | 2 〉 | {GHZ}^{+} 〉) . \end{array}

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Zhaohui Peng, Chunxia Jia, Yuqing Zhang, Zhonghua Zhu, Xiaojuan Liu. Multipartite entanglement generation with dipole induced transparency effect in indirectly coupled dipole-microcavity systems[J]. Chinese Optics Letters, 2018, 16(8): 082702

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