光学微盘腔与三能级量子点系统中的模耦合研究

柏江湘; 米贤武; 李德俊

doi:10.7498/aps.59.6205

摘要

用一种全量子理论方法研究了波导、光学微盘腔与三能级量子点耦合系统的动力学过程,求出其耦合后的透射模和反射模的解析解. 由于微腔表面粗糙引起反向散射,在微腔内形成两简并回音壁耦合共振模,其耦合率为β;量子点的两激发态分别以耦合率g1,g2与回音壁耦合共振模产生耦合. 在实数空间里,得出透射光谱和反射光谱的数值解,这些三能级模型结果比二能级模型结果更接近真实光学微盘腔系统,能更好地显示耦合系统的动力学特性.

关键词:

Abstract

A full quantum mechanical approach is extended to a coupled waveguide-ring resonator interacting with a three-level quantum dot (QD). The transmission and reflection amplitudes, as well as the resonator and the QD responses, are solved exactly via a real-space approach, which shows the single-photon transport properties. One feature of the system is the coupling between the two degenerate whispering- gallery modes (WGMs) of the resonator at rate β due to backscattering caused by surface roughness of the cavity. Another feature is describing the coupling between QD and the cavity by two parameters g1 and g2. From the analytic numerical results we can see the difference from two-level system.It may better interpret the experiment of a quantum dot strongly coupled to WGMs in a cavity.

Keywords:

作者及机构信息

1.
吉首大学物理科学与信息工程学院,吉首 416000

基金项目: 国家自然科学基金(批准号: 10647132),湖南省教育厅项目(批准号:09C825)资助的课题.

Authors and contacts

1.
College of Physics Science and Information Engineering, Jishou University, Jishou 416000, China

参考文献

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施引文献

[1]	Knill E, Laflamme R, Milburn G J 2001 Nature (London) 409 46
[2]	O’Brien J L, Pryde G J, White A G, Ralph T C, Branning D 2003 Nature (London) 426 264
[3]	Zhang S, Wang J, Zhang Q, Tang C J 2009 Acta Phys.Sin. 58 73 (in Chinese) [张盛、王剑、张权、唐朝京 2009 58 73]
[4]	Mattle K, Weinfurter H, Kwiat P G, Zeilinger A 1996 Phys.Rev. Lett. 76 4656
[5]	Bouwmeester D, Pan J W, Mattle K, Eibl M, Weinfurter H, Zeilinger A 1997 Nature (London) 390 575
[6]	Shen J T, Fan S H 2009 Phys. Rev. A 79 023838
[7]	Shen J T, Fan S H 2007 Phys. Rev. A 76 062709
[8]	Shen J T, Fan S H 2005 Opt. Lett. 30 2001
[9]	Shen J T, Fan S H 2005 Phys. Rev. Lett. 95 213001
[10]	Aoki T, Dayan B, Wilcut E, Bowen W P, Parkins A S, Kippenberg T J, Vahala K J, Kimble H J 2006 Nature (London) 443 671
[11]	Peter E, Senellart P, Martrou D, Lematre A, Hours J, Gérard J M, Bloch J 2005 Phys. Rev. Lett. 95 067401
[12]	Reithmaier J P, Sek G, Lffler A, Hofmann C, Kuhn S,Reitzenstein S, Keldysh L,Kulakovskii V, Reinecke T L, Forchel A 2004 Nature 432 197
[13]	Braginsky V B,Gorodetsky M L, Ilchenko S V 1989 Phys.Lett. A 57 R2293
[14]	Yoshie T, Scherer A, Hendrickson J, Khitrova G, Gibbs H M,Rupper G, Ell C, Shekin O B, Deppe D G 2004 Nature 432 200
[15]	Srinivasan K, Painter O 2007 Phys. Rev. A 75 023814
[16]	Srinivasan K, Painter O 2007 Nature (London) 450 862
[17]	Mazzei A, Gotzinger S, Menezes L de S, Zumofen G, Benson O, Sandoghdar V 2007 Phys. Rev. Lett. 99 173603
[18]	Zheng S B,Guo G C 2000 Phys. Rev. Lett. 85 2392
[19]	Zhao H M, Lou Q H, Zhou J, Dong J X, Wei Y R, Wang Z J 2008 Acta Phys.Sin. 57 3525 (in Chinese) [赵宏明、楼祺洪、周军、董景星、魏运荣、王之江 2008 57 3525]
[20]	Wang N, Lu Y T, Li Y L, Jiao Z Y 2008 Acta Phys.Sin. 57 5632(in Chinese) [王宁、陆雨田、李晓莉、焦志勇 2008 57 5632]
[21]	Dong C H, Zou C L, Cui J M, Han Z F, Guo G C 2009 Appl. Phys. Lett. 94 231119
[22]	Zou C L, Sun F W, Dong C H, Wu X W, Cui J M, Yang Y, Guo G C, Han Z F, arXiv:0908.3531
[23]	Turchette Q A, Hood C J, Lange W, Mabuchi H, Kimble H J 1995 Phys. Rev. Lett. 75 4710
[24]	Rice P R, Carmichael H J 1988 IEEE J. Quantum Electron. 24 1351
[25]	Savage C M, Carmichael H J 1988 IEEE J. Quantum Electron. 24 1495
[26]	Alsing P, Carmichael H J 1991 Quantum Opt. 3 13
[27]	Armen M A, Mabuchi H 2006 Phys. Rev. A 73 063801
[28]	Carmichael H J 2003 Statistical Methods in Quantim Optics I: Master Equations and Fokker-Planck Equations (Springer-Verlag, Berlin)
[29]	Ajiki H, Ishihara H, Edamatsu K 2009 New J. Phys. 11 033033
[30]	Hu X P, Guo H 2009 Acta Phys.Sin. 58 272 (in Chinese) [胡孝平、郭红 2009 58 272]
[31]	Radmore P M, Knight P L 1982 J. Phys. B: At. Mol. Phys. 15 561
[32]	Scully M O, Zubairy M S 1997 Quantum Optics (Cambridge: Cambridge University Press)
[33]	Hiroshi A, Hajime I 2008 Journal of Applied Phys. 104 123105
[34]	Shen J T, Fan S H 2009 Phys. Rev. A 79 023837
[35]	Taylor J R 1972 Scattering Theory: The Quantum Theory on Nonrelativistic Collisions (Wiley, New York)
[36]	Huang K 1998 Quantum Field Theory (Wiley, New York)
[37]	Stevenson R M, Young R J, Atkinson P, Cooper K, Ritchie D A, Shields A J 2006 Nature 439 179
[38]	Young R J, Stevenson R M, Atkinson P, Cooper K, Ritchie D A, Shields A J 2006 New J. Phys. 8 29
[39]	Akopian N, Lindner N H, Poem E, Berlatzky Y, Avron J, Gershoni D 2006 Phys. Rev. Lett. 96 130501
[40]	Aspect A, Grangier P, Roger G 1981 Phys. Rev. Lett. 47 460

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