Parametric amplification of Rydberg six- and eight-wave mixing processes

Zhaoyang Zhang; Ji Guo; Bingling Gu; Ling Hao; Gaoguo Yang; Kun Wang; Yanpeng Zhang

doi:10.1364/PRJ.6.000713

Journals >Photonics Research >Volume 6 >Issue 7 >Page 713 > Article

Photonics Research
Vol. 6, Issue 7, 713 (2018)

Parametric amplification of Rydberg six- and eight-wave mixing processes

Zhaoyang Zhang^1、†, Ji Guo^1、†, Bingling Gu, Ling Hao, Gaoguo Yang, Kun Wang, and Yanpeng Zhang^*

Author Affiliations

Key Laboratory for Physical Electronics and Devices of the Ministry of Education & Shaanxi Key Laboratory of Information Photonic Technique, Xi’an Jiaotong University, Xi’an 710049, China

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DOI: 10.1364/PRJ.6.000713 Cite this Article Set citation alerts

Zhaoyang Zhang, Ji Guo, Bingling Gu, Ling Hao, Gaoguo Yang, Kun Wang, Yanpeng Zhang. Parametric amplification of Rydberg six- and eight-wave mixing processes[J]. Photonics Research, 2018, 6(7): 713 Copy Citation Text

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Abstract

We study the parametric amplification of electromagnetically induced transparency-assisted Rydberg six- and eight-wave mixing signals through a cascaded nonlinear optical process in a hot rubidium atomic ensemble both theoretically and experimentally. The shift of the resonant frequency (induced by the Rydberg–Rydberg interaction) of parametrically amplified six-wave mixing signal is observed. Moreover, the interplays between the dressing effects and Rydberg–Rydberg interactions in parametrically amplified multiwave mixing signals are investigated. The linear amplification of Rydberg multiwave mixing processes with multichannel nature acts against the suppression caused by Rydberg–Rydberg interaction and dressing effect.

Keywords

Nonlinear optics, four-wave mixing Nonlinear optics, parametric processes Nonlinear wave mixing Rydberg states

ρ_{10}^{(3)} = \frac{i G_{1} {| G_{3} |}^{2} e^{i k_{FWM} \cdot r}}{{(d_{1}^{'} + {| G_{1} |}^{2} / Γ_{00})}^{2} d_{3}^{'}},

(1)

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ρ_{10}^{(5)} = \frac{i G_{1} {| G_{3} |}^{2} {| G_{4} |}^{2} e^{i k_{SWM 1} \cdot r}}{{(d_{1} + {| G_{1} |}^{2} / Γ_{00} + {| G_{4} |}^{2} / d_{4})}^{3} d_{3} d_{4}},

(2)

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ρ_{10}^{(5)} = \frac{i G_{1}^{0.2} {(| G_{2} | / n^{11})}^{0.4} {| G_{3} |}^{0.4} e^{i k_{SWM 2} \cdot r}}{{[d_{1} + {| G_{1} |}^{0.4} / Γ_{00} + {(| G_{2} | / n^{11})}^{0.4} / d_{2})]}^{3} d_{2} d_{3}},

(3)

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ρ_{10}^{(7)} = \frac{i G_{1}^{0.2} {(| G_{2} | / n^{11})}^{0.4} {| G_{3} |}^{0.4} {| G_{4} |}^{2} e^{i k_{EWM} \cdot r}}{{(d_{1} + \frac{{| G_{1} |}^{0.4}}{Γ_{00}} + \frac{(| G_{2} | / n^{11})^{0.4}}{d_{2}} + \frac{{| G_{4} |}^{2}}{d_{4}})}^{4} d_{2} d_{3} d_{4}},

(4)

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ρ_{20 (St)}^{(3)} = \frac{- i {| G_{1} |}^{2} G_{ASt}^{*}}{d_{1} d_{00}^{'} d_{10}^{'}},

(5)

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ρ_{20 (ASt)}^{(3)} = \frac{- i {| G_{1} |}^{2} G_{St}^{*}}{d_{1} d_{00}^{''} d_{10}^{''}},

(6)

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⟨ {\hat{a}}_{out}^{+} {\hat{a}}_{out} ⟩ = g ⟨ {\hat{a}}_{in}^{+} {\hat{a}}_{in} ⟩ + (g - 1),

(7)

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⟨ {\hat{b}}_{out}^{+} {\hat{b}}_{out} ⟩ = (g - 1) ⟨ {\hat{a}}_{in}^{+} {\hat{a}}_{in} ⟩ + (g - 1),

(8)

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\frac{d ϵ}{d P_{2}} = \frac{2 C μ_{12}^{2} ρ_{0}^{0.2} G_{2}^{- 1.6}}{5 ϵ_{0} c A ℏ^{2} n^{0.44}} {(\frac{G_{1}^{2}}{Γ_{10} + G_{2}^{2} / Γ_{20}} + \frac{G_{3}^{2}}{Γ_{30}})}^{- 0.8} \times (\frac{G_{3}^{2}}{Γ_{30}} - \frac{G_{1}^{2}}{2 Γ_{10} + G_{2}^{2} / Γ_{20} + Γ_{10}^{2} Γ_{20} / G_{2}^{2}} + \frac{G_{1}^{2}}{Γ_{10} + G_{2}^{2} / Γ_{20}}),

(9)

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\frac{d ϵ}{d ρ} = 0.2 C ρ_{0}^{- 0.8} {(\frac{| G_{2} |}{n^{11}})}^{0.4} {(\frac{{| G_{1} |}^{2}}{Γ_{10} + G_{2}^{2} / Γ_{20}} + \frac{{| G_{3} |}^{2}}{Γ_{30}})}^{0.2} .

(10)

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Zhaoyang Zhang, Ji Guo, Bingling Gu, Ling Hao, Gaoguo Yang, Kun Wang, Yanpeng Zhang. Parametric amplification of Rydberg six- and eight-wave mixing processes[J]. Photonics Research, 2018, 6(7): 713

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