Tunable interaction-free all-optical switching in a five-level atom-cavity system

Tiantian Liu; Gongwei Lin; Fengxue Zhou; Li Deng; Shangqing Gong; Yueping Niu

doi:doi:10.3788/COL201715.092702

Chinese Optics Letters, 2017, 15 (9): 092702, Published Online: Jul. 19, 2018

Tunable interaction-free all-optical switching in a five-level atom-cavity system Download： 759次

Tiantian Liu Gongwei Lin ^*Fengxue Zhou Li Deng Shangqing Gong Yueping Niu

Author Affiliations

College of Physics, East China University of Science and Technology, Shanghai 200237, China

Figures & Tables

Fig. 1. (a) Schematic diagram for the tunable interaction-free all-optical switching in a five-level atom-cavity system. (b) The schematic diagram of the input–output channels. (c) The detailed output states of the all-optical switching. When there is no control light, there is output signal light from the transmission channel, but no light from the reflection channel; when the control light is on, the signal light cannot be coupled into the cavity, the output is switched to the reflection channel, and there is no output light from the transmission channel. There is no direct coupling between the signal light and the control light.

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Fig. 2. (Color online) (a) Reflected signal intensity ( $I_{R} / I_{in}$ ) and (b) the transmitted signal intensity ( $I_{T} / I_{in}$ ) as functions of the frequency detuning of the signal field $Δ_{p}$ . Solid blue line, $Ω_{3} = 0$ MHz; dashed red line, $Ω_{3} = 2 MHz$ . The rest of the parameters are $g \sqrt{N} = 16 MHz$ , $ξ_{p} = 2 MHz$ , $γ = 1 MHz$ , $κ = 2 MHz$ , $Ω_{1} = 16 MHz$ , and $Ω_{2} = 10 MHz$ .

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Fig. 3. Resonant frequency of the dark state as function of the coherent intensity $Ω_{2}$ . Other parameters are (a) $g \sqrt{N} = 16 MHz$ and $Ω_{1} = 16 MHz$ and (b) $g \sqrt{N} = 100 MHz$ and $Ω_{1} = 100 MHz$ .

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Fig. 4. (Color online) Switching efficiencies of (a) the reflected output field $η_{R}$ and (b) the transmitted output field $η_{T}$ versus the atom-cavity coupling $g \sqrt{N}$ with $γ = 1 MHz$ (black solid lines), $γ = 2 MHz$ (red dashed lines), and $γ = 3 MHz$ (blue dotted lines), respectively. Other parameters are $ξ_{p} = 2 MHz$ , $κ = 3 MHz$ , $Ω_{1} = 16 MHz$ , $Ω_{2} = 10 MHz$ , $Ω_{3} = 2 MHz$ , and $Δ_{p} = Δ = - d$ .

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Fig. 5. (Color online) Switching efficiencies of (a) the reflected output field $η_{R}$ and (b) the transmitted output field $η_{T}$ versus the control field $Ω_{3}$ with $γ = 1 MHz$ (black solid lines), $γ = 2 MHz$ (red dashed lines), and $γ = 3 MHz$ (blue dotted lines), respectively. Other parameters are $Δ_{p} = Δ = - d MHz$ , $ξ_{p} = 2 MHz$ , $κ = 3 MHz$ , $g \sqrt{N} = 16 MHz$ , $Ω_{2} = 10 MHz$ , and $Ω_{1} = 16 MHz$ .

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Fig. 6. (Color online) Switching efficiencies of (a) the reflected output field $η_{R}$ and (b) the transmitted output field $η_{T}$ versus the pump field $Ω_{1}$ with $γ = 1 MHz$ (black solid lines), $γ = 2 MHz$ (red dashed lines), and $γ = 3 MHz$ (blue dotted lines), respectively. Other parameters are $Δ_{p} = Δ = - d MHz$ , $ξ_{p} = 2 MHz$ , $κ = 3 MHz$ , $g \sqrt{N} = 16 MHz$ , $Ω_{2} = 10 MHz$ , and $Ω_{3} = 2 MHz$ . (c) $η_{R}$ and (d) $η_{T}$ versus the coherent field $Ω_{2}$ with $γ = 1 MHz$ (black solid lines), $γ = 2 MHz$ (red dashed lines), and $γ = 3 MHz$ (blue dotted lines), respectively. Here, $Ω_{1} = 16 MHz$ , and other parameters are the same as (a) and (b).

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Tiantian Liu, Gongwei Lin, Fengxue Zhou, Li Deng, Shangqing Gong, Yueping Niu. Tunable interaction-free all-optical switching in a five-level atom-cavity system[J]. Chinese Optics Letters, 2017, 15(9): 092702.

Tunable interaction-free all-optical switching in a five-level atom-cavity system Download： 759次

Fig. 3. Resonant frequency of the dark state as function of the coherent intensity $Ω_{2}$ . Other parameters are (a) $g \sqrt{N} = 16 MHz$ and $Ω_{1} = 16 MHz$ and (b) $g \sqrt{N} = 100 MHz$ and $Ω_{1} = 100 MHz$ .

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Tunable interaction-free all-optical switching in a five-level atom-cavity system Download： 759次

Fig. 3. Resonant frequency of the dark state as function of the coherent intensity Ω2. Other parameters are (a) gN=16 MHz and Ω1=16 MHz and (b) gN=100 MHz and Ω1=100 MHz.

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Fig. 3. Resonant frequency of the dark state as function of the coherent intensity $Ω_{2}$ . Other parameters are (a) $g \sqrt{N} = 16 MHz$ and $Ω_{1} = 16 MHz$ and (b) $g \sqrt{N} = 100 MHz$ and $Ω_{1} = 100 MHz$ .