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半导体三量子点电磁感应透明介质中的非线性法拉第偏转

陈秋成

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半导体三量子点电磁感应透明介质中的非线性法拉第偏转

陈秋成

Nonlinear Faraday rotation in electromagnetically induced transparency medium of semiconductor three quantum dots

Chen Qiu-Cheng
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  • 利用一束弱线性偏振探测光在与其平行的磁场作用下所形成的两偏振分量,然后结合量子点间的隧穿耦合,构建了五能级M型半导体三量子点分子电磁感应透明介质.通过研究该体系的线性光学性质发现,操控量子点间隧穿耦合强度可有效调节系统中隧穿诱导透明窗口的宽度,并实现对介质的反常色散与正常色散的开关调节效应.随后,对体系非线性法拉第效应的研究发现,在相同的外加磁场下探测光的非线性法拉第偏转方向与线性法拉第偏转相反且非线性法拉第偏转角更大.
    In the past few years, many interesting optical phenomena, such as electromagnetically induced transparency, coherent optical control of a biexciton, slow light and optical solitons, have been investigated in single quantum dot (QD). However, in an actual semiconductor device there exist many quantum dots (QDs). Recently, QD molecule, which is comprised of double semiconductor QDs coupled by tunneling coupling, has been proposed. In this new semiconductor structure, many complex but interesting phenomena have been discovered. In fact, three QD molecules may also be composed of three QDs, which can be coupled by interdot tunneling coupling. For the three semiconductor QDs molecules, the influence of the interdot tunneling coupling strength must be considered. So, in this paper, with considering that a weak, -linear-polarized probe field can form left- and right-polarized components under the control of the parallel magnetic field, and when they are combined with the tunneling coupling among the QDs, an electromagnetically induced transparency medium of a five-level M configuration semiconductor three QDs is proposed. Subsequently, the nonlinear Faraday rotation in the semiconductor three QDs is analytically studied. For the linear case, the linear dispersion relation is driven by a method of multiple scales. Then, by studying the linear optical properties, it is found that the system exhibits a single tunneling induced transparency window due to the quantum destructive interference effect driven by the interdot tunneling coupling under appropriate conditions, and the width of the tunneling induced transparency window can be effectively controlled by the strength of the interdot tunneling coupling. Meanwhile, the switch regulatory effect, which changes from the anomalous dispersion regime to the normal dispersion regime, is likely to be achieved by changing the strength of the interdot tunneling coupling. For the nonlinear case, two coupled nonlinear Schrdinger equations, which govern the evolutions of left- and right-polarized components of the weak, -linear-polarized probe field under the applied longitudinal magnetic field, are derived. By studying the nonlinear properties, it is shown that a large nonlinear Faraday rotation angle can be obtained due to the quantum interference effect which is induced by the interdot tunneling coupling with a very low absorption of the weak, -linear-polarized probe field. In addition, it is also found that the nonlinear Faraday rotation direction is opposite to line Faraday rotation for the same magnetic field. What is more, the nonlinear Faraday rotation angle grows bigger than the linear Faraday rotation. These results mean that the Faraday rotation of the three semiconductor QDs with the electromagnetically induced transparency can be more effectively controlled by the nonlinear effect.
      通信作者: 陈秋成, chenqiucheng68@126.com
    • 基金项目: 国家自然科学基金(批准号:11247313)资助的课题.
      Corresponding author: Chen Qiu-Cheng, chenqiucheng68@126.com
    • Funds: Project supported by the National Natural Science Foundation of China (Grant No. 11247313).
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    Faraday M 1846 Philos. Mag. 28 294

    [2]

    Wang B, Li S J, Ma J, Wang H, Peng K C, Xiao M 2006 Phys. Rev. A 73 051801

    [3]

    Peng Z H, Zou J, Liu X J, Xiao Y J, Kuang L M 2012 Phys. Rev. A 86 034305

    [4]

    Liu Q, Gross S, Dekker P, Withford M J, Steel M J 2014 Opt. Express 22 28037

    [5]

    Yu Z, Fan S 2009 Nat. Photon. 3 91

    [6]

    Hang C, Huang G X 2007 Chin. Opt. Lett. 5 47

    [7]

    Zhu C J, Deng L, Hagley E W 2013 Phys. Rev. A 88 023854

    [8]

    He Y M, Wei Y J, He Y, Xiong F L, Chen K, Zhao Y, Lu Z Y 2014 Sci. Sin. Inform. 44 394 (in Chinese)[何玉明, 魏宇佳, 贺煜, 熊飞雷, 陈凯, 赵勇, 陆朝阳2014中国科学信息科学 44 394]

    [9]

    Zeng K H, Wang D L, She Y C, Zhang W X 2013 Acta Phys. Sin. 62 147801 (in Chinese)[曾宽宏, 王登龙, 佘彦超, 张蔚曦2013物理学报 62 147801]

    [10]

    Bai Y F, Yang W X, Han D A, Yu X Q 2012 Chin. Phys. B 21 114208

    [11]

    Hao X Y, Zheng A S, Wang Y, Li X G 2012 Commun. Theor. Phys. 57 866

    [12]

    Wu Y, Yang X X 2007 Phys. Rev. B 76 054425

    [13]

    Tian S C, Wan R G, Tong C Z, Ning Y Q 2014 J. Opt. Soc. Am. B 31 2681

    [14]

    Ding C L, Yu R, Li J H, Hao X Y, Wu Y 2014 Phys. Rev. A 90 043819

    [15]

    Borges H S, Sanz L, Villas-Boas J M, Diniz Neto O O, Alcalde A M 2012 Phys. Rev. B 85 115425

    [16]

    Hang C, Huang G X 2008 Phys. Rev. A 77 033830

    [17]

    Sun H, Fan S L, Feng X L, Wu C F, Gong S Q, Huang G X, Oh C H 2012 Opt. Express 20 8485

    [18]

    Anisimov P M, Dowling J P, Sanders B C 2011 Phys. Rev. Lett. 107 163604

    [19]

    Vaseghi B, Mohebi N 2013 J. Lumin. 134 352

    [20]

    Songmuang R, Kiravittaya S, Schmidt O G 2003 Appl. Phys. Lett. 82 2892

    [21]

    Beirne G J, Hermannstädter C, Wang L, Rastelli A, Schmidt O G, Michler P 2006 Phys. Rev. Lett. 96 137401

    [22]

    Yang W, Sun D L, Zhou L, Wang J, Zhan M S 2014 Acta Phys. Sin. 63 153701(in Chinese)[杨威, 孙大立, 周林, 王谨, 詹明生2014物理学报 63 153701]

    [23]

    Chen Q C 2014 Chin. Phys. B 23 124212

    [24]

    Yang W X, Lee R K 2008 Europhys. Lett. 83 14002

    [25]

    She Y C, Zheng X J, Wang D L, Zhang W X 2013 Opt. Express 21 17392

    [26]

    Chen Y, Chen Z M, Huang G X 2015 Phys. Rev. A 91 023820

    [27]

    Luo X Q, Wang D L, Zhang Z Q, Ding J W, Liu W M 2011 Phys. Rev. A 84 033803

    [28]

    She Y C, Zhang W X, Wang D L 2011 Acta Phys. Sin. 60 064205 (in Chinese)[佘彦超, 张蔚曦, 王登龙2011物理学报 60 064205]

    [29]

    Gammon D, Snow E S, Shanabrook B V, Katzer D S, Park D 1996 Science 273 87

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出版历程
  • 收稿日期:  2016-04-26
  • 修回日期:  2016-08-23
  • 刊出日期:  2016-12-05

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