基于简并四波混频的双信道双频段增益谱

王丹; 郭瑞翔; 戴玉鹏; 周海涛

doi:10.7498/aps.70.20201778

基于简并四波混频的双信道双频段增益谱

doi: 10.7498/aps.70.20201778

王丹^{1, 2, ,},
郭瑞翔^{1, 2},
戴玉鹏^{1, 2},
周海涛^{1, 2}

详细信息

通讯作者:
E-mail: wangdan63@sxu.edu.cn

中图分类号: 42.50.-p, 42.50.Gy, 42.65.Ky, 42.50.Nn
计量
- 文章访问数: 267
- HTML全文浏览量: 138
- PDF下载量: 0
- 被引次数: 0
出版历程
- 收稿日期: 2020-10-26
- 修回日期: 2020-11-20
- 网络出版日期: 2021-05-27
- 发布日期: 2021-05-27

Degenerate four-wave mixing-based double-channel optical gain spectrum with two frequency bands

Wang Dan^{1, 2
, ,},
Guo Rui-Xiang^{1, 2},
Dai Yu-Peng^{1, 2},
Zhou Hai-Tao^{1, 2}

More Information

Corresponding author: Wang Dan, E-mail: wangdan63@sxu.edu.cn

摘要

摘要: 基于大规模光通信中频分复用的需求, 本文以热原子的简并四波混频为模型, 研究了具有双频段特性的双信道增益光谱. 一束缀饰场诱导激发态能级发生分裂, 由于量子干涉效应, 四波混频信号的增益在双光子共振处被抑制, 从而使增益谱线的包络由单频段转变为“M”型的双频段结构. 同时, 缀饰场还提高了相干基态的原子布居, 进一步增强了四波混频信号的强度. 最终实验上在铯原子气室内获得了一对具备双频段的双信道高增益光谱, 并通过调节缀饰场的强度和频率失谐, 实现了对双增益峰频率间隔的有效操控.
- 简并四波混频 /
- 缀饰态 /
- Autler-Townes分裂 /
- 双信道双频段
Abstract: Focusing on the frequency division multiplexing technology in the applications of large scale optical communication, the double-channel optical gain spectrum with two frequency bands is studied in this paper. The double-channel gain spectrum, named probe channel and four wave mixing channel, comes from a co-propagating degenerate four wave mixing in a hot atomic ensemble. The intention is to divide the gain spectrum into several sub frequency bands through dressed four wave mixing. When a dressed field is exerted on one transition that shares the common excited state with the degenerate four wave mixing, the excited state can experience dressed splitting. It opens two transition paths for the degenerate four wave mixing simultaneously. Because of quantum interference between the two paths, the degenerate four wave mixing are suppressed at two-photon resonance. Consequently, Autler-Townes splitting appears in the gain spectrum, i.e. spectrum is changed from single frequency band into two “M”-type bands. In this paper, the nonlinear density matrix element describing the degenerate (dressed) four wave mixing is solved through perturbation theory, and then the gain spectrum in Doppler broadening atomic medium is plotted, and its Autler-Townes splitting is analyzed by using the dressed-state theory. It shows that the Autler-Townes splitting depends on both the Rabi frequency and single photon detuning of the dressed field. Relevant experiment is performed in cesium vapor at 60 ℃, a pair of high-gain optical spectra with two frequency bands for both double channels is successfully obtained. Moreover, the Autler-Townes splitting as a function of the dressed field intensity and single photon detuning are studied quantitatively. The experimental results accord well with the theoretical predictions. Compared with the degenerate four wave mixing, the atom-field coupled system is changed from an original open two-level into a closed Λ three-level due to the external dressed field, which greatly improves the atomic population on the coherent ground state via optical pumping, and therefore enhancing the gain significantly. This work is important for the field of atom-based optical communication. It provides an optional way of conveying multi-frequency information to the two parallel channels as well as improving the gain of four wave mixing.
- degenerate four-wave mixing /
- dressed-state /
- Autler-Townes splitting /
- double-channel with two frequency bands

HTML全文

图 1 能级图与光场空间波矢量配置图　(a) 二能级DFWM; (b) Λ型三能级dressed-DFWM; (c) 光场空间矢量的相位配置图

Figure 1. Energy level and laser fields’ geometric configuration: (a) Two-level DFWM; (b) Λ-type three-level dressed-DFWM; (c) phase-matching configuration of laser fields’ wave vectors.

下载: 全尺寸图片幻灯片

图 2 FWM强度增益谱的理论模拟曲线, 其中虚线为DFWM, 实线为dressed-DFWM, 使用参数为: ${\varOmega _1} \!=\! {\varOmega _2} \!=\! 2{\text{π}} \cdot 110\;{\rm{MHz}}$ , ${\varOmega _{\rm{p}}} = 2{\text{π}} \cdot 10\;{\rm{MHz}}$ , ${\varGamma _{10}} = 2{\text{π}} \cdot 1\; {\rm{kHz}}$ , ${\varGamma _{21}} = {\varGamma _{11}} = 2{\text{π}} \cdot 4.6 $ $ \;{\rm{MHz}}$ , $T = 60 \;{ ^ \circ }{\rm{C}}$

Figure 2. The theoretical curves of FWM intensity gain spectrum, the dashed curve is for the DFWM, and the solid curve is for the dressed-DFWM. The parameters: ${\varOmega _1} = {\varOmega _2} = 2{\text{π}} \cdot 110\;{\rm{MHz}}$ , ${\varOmega _{\rm{p}}} = 2{\text{π}} \cdot 10\;{\rm{MHz}}$ , ${\varGamma _{10}} = 2{\text{π}} \cdot 1 $ $ \; {\rm{kHz}}$ , ${\varGamma _{21}} = {\varGamma _{11}} = 2{\text{π}} \cdot 4.6\;{\rm{MHz}}$ , $T = 60 \;{ ^ \circ }{\rm{C}}$ .

下载: 全尺寸图片幻灯片

图 3 实验装置示意图, 双向箭头代表光场偏振方向, GT: 格兰-泰勒棱镜, S: 光屏, PD: 光电探测器

Figure 3. The sketch of experimental setup. The double-headed arrow stands for the light polarization. GT: Glan-Taylor prism, S: screen, PD: photo detector.

下载: 全尺寸图片幻灯片

图 4 光斑图样与增益谱线　(a), (b) 关闭泵浦场 ${E_1}$ 时的EIT效应; (c), (d) 关闭缀饰场 ${E_2}$ 时的DFWM效应; (e), (f) ${E_1}$ , ${E_2}$ 同时打开时的Dressed-DFWM效应. 实验参数: 泵浦场光功率 ${P_1} = 40 \;{\rm{ mW}}$ , 缀饰场光功率 ${P_2} = 40 \;{\rm{ mW}}$ , 缀饰场失谐 $ {\varDelta _2} = 0$

Figure 4. Laser beams’ pattern and gain spectrum: (a), (b) the EIT effect when the pump field ${E_1}$ is turned off; (c), (d) the DFWM effect when the dressed field ${E_2}$ is turned off; (e), (f) the Dressed-DFWM effect when both ${E_1}$ and ${E_2}$ are turned on. Experimental parameters: the pump field power: ${P_1} = 40 \;{\rm{ mW}}$ , the dressed field power: ${P_2} = 40\;{\rm{ mW}}$ , the dressed field detuning $ {\varDelta _2} = 0$ .

下载: 全尺寸图片幻灯片

图 5 缀饰场失谐 $ {\varDelta _2}$ 分别为 (i) 0, (ii) $ 2{\text{π}} \cdot 100 \;{\rm{MHz}}$ 以及 (iii) $ 2{\text{π}} \cdot 200 \;\;{\rm{MHz}}$ 的增益谱　(a) 探测光信道 ${E_{\rm{p}}}$ ; (b) DFWM光信道 ${E_{\rm{f}}}$ . 实验参数: ${P_1} = 40 \;{\rm{mW}}$ , ${P_2} = 40 \;{\rm{mW}}$ , ${P_{\rm{p}}} = 30\;{\rm{\text{μ} W}}$

Figure 5. Gain spectrum with dressed field detuning $ {\varDelta _2}$ at (i) $ 0$ , (ii) $ 2{\text{π}} \cdot 100 \;{\rm{MHz}}$ , and (iii) $ 2{\text{π}} \cdot 200 \;\;{\rm{MHz}}$ : (a) The probe channel ${E_{\rm{p}}}$ ; (b) the DFWM channel ${E_{\rm{f}}}$ . Experimental parameters: ${P_1} = 40 \;{\rm{mW}}$ , ${P_2} = 40 \;{\rm{mW}}$ , ${P_{\rm{p}}} = 30\;{\rm{\text{μ} W}}$ .

下载: 全尺寸图片幻灯片

图 6 (a), (b) 固定 $ {\varDelta _2} = 0$ 时缀饰场功率 $P_2$ 分别为 (i) $ 10\;{\rm{mW}}$ , (ii) $ 50\;{\rm{mW}}$ 以及 (iii) $ 100\;{\rm{mW}}$ 的增益谱　(a) ${E_{\rm{p}}}$ 信道; (b) ${E_{\rm{f}}}$ 信道; (c), (d) AT 分裂间距随缀饰场拉比频率变化的关系曲线: (c) $ {\varDelta _2} = 0$ , (d) $ {\varDelta _2} = 2{{\pi}} \cdot 200\;{\rm{MHz}}$ . 实验参数: ${P_1} \!=\! 40 \;{\rm{mW}}$ , ${P_{\rm{p}}} \!=\! 30 \;{\rm{\text{μ}W}}$

Figure 6. (a, b) Gain spectrum with dressed power at (i) $ 10\;{\rm{mW}}$ , (ii) $ 50\;{\rm{mW}}$ , and (iii) $ 100\;{\rm{mW}}$ when $ {\varDelta _2} = 0$ . (a) The ${E_{\rm{p}}}$ channel; (b) the ${E_{\rm{f}}}$ channel; (c), (d) the curves for the AT splitting versus the dressed field’s Rabi frequencies: (c) $ {\varDelta _2} = 0$ , (d) $ {\varDelta _2} = $ $ 2{\text{π}} \cdot 200\;{\rm{MHz}}$ . Experimental parameters: ${P_1} = 40 \;{\rm{mW}}$ , ${P_{\rm{p}}} = 30 \;{\rm{\text{μ} W}}$ .

下载: 全尺寸图片幻灯片

参考文献(27)

[1]	Lukin M D, Matsko A B, Fleischhauer M, Scully M O 1999 Phys. Rev. Lett. 82 1847 doi: 10.1103/PhysRevLett.82.1847
[2]	Balic V, Braje D A, Kolchin P, Yin G Y, Harris S E 2005 Phys. Rev. Lett. 94 183601 doi: 10.1103/PhysRevLett.94.183601
[3]	McCormick C F, Boyer V, Arimondo E, Lett P D 2007 Opt. Lett. 32 178 doi: 10.1364/OL.32.000178
[4]	Motomura K, Tsukamoto M, Wakiyama A, Harada K, Mitsunaga M 2005 Phys. Rev. A 71 043817 doi: 10.1103/PhysRevA.71.043817
[5]	Guo M J, Zhou H T, Wang D, Gao J R, Zhang J X, Zhu S Y 2014 Phys. Rev. A 83 033813 doi: 10.1103/PhysRevA.89.033813
[6]	Ma R, Liu W, Qin Z Z, Jia X J, Gao J R 2017 Phys. Rev. A 96 043843 doi: 10.1103/PhysRevA.96.043843
[7]	Swaim J D, Glasser R T 2017 Phys. Rev. A 96 033818 doi: 10.1103/PhysRevA.96.033818
[8]	Wang D, Hu L Y, Pang X M, Zhang J X, Zhu S Y 2013 Phys. Rev. A 88 042314 doi: 10.1103/PhysRevA.88.042314
[9]	Qin Z Z, Cao L M, Wang H L, Marino A M, Zhang W P, Jing J T 2014 Phys. Rev. Lett. 113 023602 doi: 10.1103/PhysRevLett.113.023602
[10]	Boyer V, Marino A M, Lett P D 2008 Phys. Rev. Lett. 100 143601 doi: 10.1103/PhysRevLett.100.143601
[11]	Pan X Z, Yu S, Zhou Y F, Zhang K, Zhang K, Lv S C, Li S J, Wang W, Jing J T 2019 Phys. Rev. Lett. 123 070506 doi: 10.1103/PhysRevLett.123.070506
[12]	Boyer V, McCormick C F, Arimondo E, Lett P D 2007 Phys. Rev. Lett. 99 143601 doi: 10.1103/PhysRevLett.99.143601
[13]	Jing J T, Zhou Z F, Liu C J, Qin Z Z, Fang Y M, Zhou J, Zhang W P 2014 Appl. Phys. Lett. 104 151103 doi: 10.1063/1.4871384
[14]	Pooser R C, Marino A M, Boyer V, Jones K M, Lett P D 2009 Phys. Rev. Lett. 103 010501 doi: 10.1103/PhysRevLett.103.010501
[15]	Kong J, Hudelist F, Ou Z Y, Zhang W P 2013 Phys. Rev. Lett. 111 033608 doi: 10.1103/PhysRevLett.111.033608
[16]	Hudelist F, Kong J, Liu C J, Jing J T, Ou Z Y, Zhang W P 2014 Nat. Commun. 5 3049 doi: 10.1038/ncomms4049
[17]	Liu W, Ma R, Zeng L, Qin Z Z, Su X L 2019 Opt. Lett. 44 2053 doi: 10.1364/OL.44.002053
[18]	Zhou H T, Li R F, Dai Y P, Wang D, Wu J Z, Zhang J X 2019 J. Phys. B: At. Mol. Opt. Phys. 52 185002 doi: 10.1088/1361-6455/ab36b0
[19]	Zhang Y P, Xiao M 2007 Opt. Express 15 7182 doi: 10.1364/OE.15.007182
[20]	Zuo Z C, Sun J, Liu X, Wu L A, Fu P M 2007 Phys. Rev. A 75 023805 doi: 10.1103/PhysRevA.75.023805
[21]	Zhang Y P, Anderson B, Xiao M 2008 J. Phys. B: At. Mol. Opt. Phys. 41 045502 doi: 10.1088/0953-4075/41/4/045502
[22]	Li C B, Zheng H B, Zhang Y P, Nie Z Q, Song J P, Xiao M 2009 Appl. Phys. Lett. 95 041103 doi: 10.1063/1.3189813
[23]	李祥, 李培英 2015 激光与光电子学进展 52 051901 doi: 10.3788/LOP52.051901 Li X, Li P Y 2015 Las. Optoelect. Prog. 52 051901 doi: 10.3788/LOP52.051901
[24]	桑苏玲 2019 激光与光电子学进展 56 081901 doi: 10.3788/LOP56.081901 Sang S L 2019 Las. Optoelect. Prog. 56 081901 doi: 10.3788/LOP56.081901
[25]	Su J J, Yu I A 2003 Chin. J. Phys. 41 627
[26]	Novikova I, Matsko A B, Welch G R 2002 J. Mod. Opt. 49 2565 doi: 10.1080/0950034021000011293
[27]	Grischkowsky D 1970 Phys. Rev. Lett. 24 866 doi: 10.1103/PhysRevLett.24.866