基于自发辐射相干效应的可调光子带隙反射率的提高方法

杨柳; 郜中星; 薛冰; 张勇刚; 蔡永茂

doi:10.7498/aps.67.20181374

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摘要

光子带隙是指某一频率范围的波不能在周期变化的空间介质中传播，即这种结构本身存在“禁带”，并已成功地应用于滤波器、放大器和混频器等器件的设计中.此前，许多专家都致力于提高带隙的反射率，但其只能逐渐接近1.本文在囚禁于一维光晶格中的冷原子介质中实现两个可调光子带隙，并通过选择两基态为精细结构的三能级∧型原子系统，考虑自发辐射相干效应来探究这两个带隙的反射率.适当调节参数，探测场出现增益，从而获得较高反射率的带隙结构，甚至可以超过1.此外，两个带隙反射率还可以通过调节偶极矩之间的夹角以及非相干驱动场强度等参数来操控.

关键词:

作者及机构信息

1. 哈尔滨工程大学自动化学院, 哈尔滨 150001;

2. 哈尔滨工程大学理学院, 哈尔滨 150001;

3. 东北电力大学理学院, 吉林 132012

基金项目: 国家自然科学基金（批准号：11747048，11804066，61773133）、中国博士后科学基金（批准号：2018M630337）和中央高校基本科研业务费专项资金（批准号：HEUCFM180401）资助的课题.

参考文献

[1]	Bao Q Q, Yang L, Ba N, Cui C L, Wu J H 2013 J. Opt. Soc. Am. B 30 1532
[2]	Appel J, Figueroa E, Korystov D, Lobino M, Lvovsky A I 2008 Phys. Rev. Lett. 100 093602
[3]	Yang L, He B, Wu J H, Zhang Z, Xiao M 2016 Optica 3 1095
[4]	Gärttner M, Evers J 2013 Phys. Rev. A 88 033417
[5]	Alireza L, Yadipour R, Baghban H 2017 Chin. Phys. B 26 124207
[6]	Zhang Y, Wang X, Zhang Y Z 2018 Laser Phys. Lett. 15 075402
[7]	Yablonovitch E 1987 Phys. Rev. Lett. 58 2059
[8]	Artoni M, La Rocca G 2006 Phys. Rev. Lett. 96 073905
[9]	Wu Z K, Zhang Y Q, Yuan C Z, Wen F, Zheng H B, Zhang Y P 2013 Phys. Rev. A 88 063828
[10]	Chen H X, Zhang X, Zhu D Y, Yang C, Jiang T, Zheng H B, Zhang Y P 2014 Phys. Rev. A 90 043846
[11]	Zhang Y P, Wang Z G, Nie Z Q, Li C B, Chen H X, Lu K Q, Xiao M 2011 Phys. Rev. Lett. 106 093904
[12]	Zhang Y Q, Wu Z K, Belić M R, Zheng H B, Wang Z G, Xiao M, Zhang Y P 2015 Laser & Photon. Rev. 9 331
[13]	Schilke A, Zimmermann C, Courteille P W, Guerin W 2011 Phys. Rev. Lett. 106 223903
[14]	Petrosyan D 2007 Phys. Rev. A 76 053823
[15]	Schilke A, Zimmermann C, Guerin W 2012 Phys. Rev. A 86 023809
[16]	Tariq M, Ziauddin, Bano T, Ahmad I, Lee R K 2017 J. Modern Opt. 64 1777
[17]	Ba Nuo, Wu X Y, Li D F, Wang D, Fei J Y, Wang L 2017 Chin. Phys. B 26 54207
[18]	Wu J H, Gao J Y 2002 Phys. Rev. A 65 063807
[19]	Horsley S A R, Wu J H, Artoni M, La Rocca G C 2013 Phys. Rev. Lett. 110 223602
[20]	Wang D W, Zhou H T, Guo M J, Zhang J X, Evers J, Zhu S Y 2013 Phys. Rev. Lett. 110 093901
[21]	Gao J W, Bao Q Q, Wan R G, Cui C L, Wu J H 2011 Phys. Rev. A 83 053815
[22]	Bendickson J M, Dowling J P, Scalora M 1996 Phys. Rev. E 53 4107
[23]	Yang L, Zhang Y, Yan X B, Sheng Y, Cui C L, Wu J H 2015 Phys. Rev. A 92 053859

施引文献

[1]	Bao Q Q, Yang L, Ba N, Cui C L, Wu J H 2013 J. Opt. Soc. Am. B 30 1532
[2]	Appel J, Figueroa E, Korystov D, Lobino M, Lvovsky A I 2008 Phys. Rev. Lett. 100 093602
[3]	Yang L, He B, Wu J H, Zhang Z, Xiao M 2016 Optica 3 1095
[4]	Gärttner M, Evers J 2013 Phys. Rev. A 88 033417
[5]	Alireza L, Yadipour R, Baghban H 2017 Chin. Phys. B 26 124207
[6]	Zhang Y, Wang X, Zhang Y Z 2018 Laser Phys. Lett. 15 075402
[7]	Yablonovitch E 1987 Phys. Rev. Lett. 58 2059
[8]	Artoni M, La Rocca G 2006 Phys. Rev. Lett. 96 073905
[9]	Wu Z K, Zhang Y Q, Yuan C Z, Wen F, Zheng H B, Zhang Y P 2013 Phys. Rev. A 88 063828
[10]	Chen H X, Zhang X, Zhu D Y, Yang C, Jiang T, Zheng H B, Zhang Y P 2014 Phys. Rev. A 90 043846
[11]	Zhang Y P, Wang Z G, Nie Z Q, Li C B, Chen H X, Lu K Q, Xiao M 2011 Phys. Rev. Lett. 106 093904
[12]	Zhang Y Q, Wu Z K, Belić M R, Zheng H B, Wang Z G, Xiao M, Zhang Y P 2015 Laser & Photon. Rev. 9 331
[13]	Schilke A, Zimmermann C, Courteille P W, Guerin W 2011 Phys. Rev. Lett. 106 223903
[14]	Petrosyan D 2007 Phys. Rev. A 76 053823
[15]	Schilke A, Zimmermann C, Guerin W 2012 Phys. Rev. A 86 023809
[16]	Tariq M, Ziauddin, Bano T, Ahmad I, Lee R K 2017 J. Modern Opt. 64 1777
[17]	Ba Nuo, Wu X Y, Li D F, Wang D, Fei J Y, Wang L 2017 Chin. Phys. B 26 54207
[18]	Wu J H, Gao J Y 2002 Phys. Rev. A 65 063807
[19]	Horsley S A R, Wu J H, Artoni M, La Rocca G C 2013 Phys. Rev. Lett. 110 223602
[20]	Wang D W, Zhou H T, Guo M J, Zhang J X, Evers J, Zhu S Y 2013 Phys. Rev. Lett. 110 093901
[21]	Gao J W, Bao Q Q, Wan R G, Cui C L, Wu J H 2011 Phys. Rev. A 83 053815
[22]	Bendickson J M, Dowling J P, Scalora M 1996 Phys. Rev. E 53 4107
[23]	Yang L, Zhang Y, Yan X B, Sheng Y, Cui C L, Wu J H 2015 Phys. Rev. A 92 053859

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基于自发辐射相干效应的可调光子带隙反射率的提高方法

1. 哈尔滨工程大学自动化学院, 哈尔滨 150001;

2. 哈尔滨工程大学理学院, 哈尔滨 150001;

3. 东北电力大学理学院, 吉林 132012

基金项目:

国家自然科学基金（批准号：11747048，11804066，61773133）、中国博士后科学基金（批准号：2018M630337）和中央高校基本科研业务费专项资金（批准号：HEUCFM180401）资助的课题.

收稿日期: 2018-07-17

修回日期: 2018-08-28

刊出日期: 2018-12-05

摘要: 光子带隙是指某一频率范围的波不能在周期变化的空间介质中传播，即这种结构本身存在“禁带”，并已成功地应用于滤波器、放大器和混频器等器件的设计中.此前，许多专家都致力于提高带隙的反射率，但其只能逐渐接近1.本文在囚禁于一维光晶格中的冷原子介质中实现两个可调光子带隙，并通过选择两基态为精细结构的三能级∧型原子系统，考虑自发辐射相干效应来探究这两个带隙的反射率.适当调节参数，探测场出现增益，从而获得较高反射率的带隙结构，甚至可以超过1.此外，两个带隙反射率还可以通过调节偶极矩之间的夹角以及非相干驱动场强度等参数来操控.

关键词:

Improvement on reflectivity of tunable photonic band gap with spontaneous generated coherence

1. College of Automation, Harbin Engineering University, Harbin 150001, China;

2. College of Science, Harbin Engineering University, Harbin 150001, China;

3. School of Science, Northeast Electric Power University, Jilin 132012, China

Fund Project:

Project supported by the National Natural Science Foundation of China (Grant Nos. 11747048, 11804066, 61773133), the China Postdoctoral Science Foundation (Grant No. 2018M630337), and the Fundamental Research Funds for the Central Universities, China (Grant No. HEUCFM180401).

Received Date: 17 July 2018

Accepted Date: 28 August 2018

Published Online: 05 December 2018

Abstract: The photonic band gap is a spectral range which cannot propagate in a periodic optical nanostructure, that is, the structure itself has a “forbidden band”. It has been successfully applied to the filters, amplifiers, mixers, etc. As is well known, dynamically tunable photonic band gaps in cold atomic lattices are of great importance in various research fields. However, the photonic band gaps of a traditional photonic crystal are non-tunable because the periodic structure is determined once the photonic crystal is grown. On the other hand, a majority of previous researches focused on improving the reflectivity of photonic band gap, which can only keep approaching to 1. Due to the action of the vacuum of the radiation field, near-degenerate lower level has an additional coherence term, the spontaneously generated coherence term. In this paper, we consider a three-level ∧-type atomic system driven by a strong coherent field, a weak coherent field and an incoherent pump, in which the two ground states are of hyperfine structure. The one-dimensional photonic band gaps are formed by cold atoms trapped in a one-dimensional-ordered optical lattice and this system may create two photonic band gaps (PBGs). The trapped cold atoms have a Gaussian density distribution in each period as determined by the optical potential depth and the average atomic temperature. We investigate in detail how the reflectivities of the two PBGs are influenced by the coherent effect of spontaneously generated coherence. Then, we find that the reflectivities of the two band gaps can be significantly improved by the spontaneously generated coherence. The reflectivities of such two band gaps can be dynamically manipulated by varying the intensity of incoherent driving field and the relative phase between the probe field and the coupling field, which cannot be realized in a conventional ∧-type atomic system. Besides, by adjusting the parameters appropriately, the reflectivities of these two band gaps can be higher than 1, which is because probe field gain stems from the spontaneously generated coherence. In the future, photonic transport properties can be investigated in the three-dimensional atomic lattices and this work is meaningful for the optical routing, photodiode and transistor.

Keywords:

photonic band gap /
electromagnetically induced transparency /
spontaneously generated coherence

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